Solve each equation for both variables help please 15 points

Solve Each Equation For Both Variables Help Please 15 Points

Answers

Answer 1

Answer:

x = -5

y = 2

Step-by-step explanation:

1)  -5x-4y = 17

2) 3x-4y = -23

subtract equation 2 from equation 1:

-8x + 0 = 40

-8x = 40

x = -5

substitute x = -5 into equation 1 and solve for y:

-5(-5) - 4y = 17

-4y = -8

y = 2

test answers by substituting x and y values into eqation 2:

3(-5) - 4(2) = -23   Answers are correct!

Answer 2
The Answer is x=-5 y=2

Related Questions

Is (7, 9) a solution of y > 2x − 5?

HELP

Answers

Answer:

no

Step-by-step explanation:

y > 2x - 5

9 > 2(7) - 5

9 > 14 - 5

9 > 9. not a solution

9=9

Show your work please help

Answers

The error in the work lies in line 3 where the square root is calculated inaccurately.

What is square root of a number?

The opposite of squaring an integer is finding its square root. The square root of a number can be found by looking for a number that, when squared, yields the original value.

The error is in line 3, line 4 and line 5.

The error in line 3 is inaccurate calculation of the value of square root of 4.

The error in line 4 is a mathematical calculation error.

The error in line 5 is a mathematical calculation error.

The correct answer in Line 3 is:

[tex]6 * 2 *\sqrt{5} -3\sqrt{5}[/tex]

The correct answer in Line 4 is:

[tex]12\sqrt{5} - 3\sqrt{5}[/tex]

The correct answer in Line 5 is:

[tex]9\sqrt{5}[/tex]

Learn more about square root here:

https://brainly.com/question/3120622

#SPJ1

Tamara uses 8.5 of blue paint and white paint to paint her bedroom walls. Three fourths of this amount is blue paint, and the rest is white paint . How many pints of white paint did she used to paint her bedroom walls

Answers

The amount of white paint used by Tamara to paint the bedroom walls is 2.125.

What are Fractions?

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Total amount of paint = 8.5

Three fourths of this amount is blue paint.

Amount of blue paint = (3/4) × 8.5 = 6.375

Rest is white paint.

Amount of white paint = Total paint - Amount of blue paint

                                     = 8.5 - 6.375

                                     = 2.125

Hence the amount of white paint used to paint bedroom walls is 2.125.

To learn more about Fractions, click on the link :

https://brainly.com/question/8482939

#SPJ1

parallel abcd is similar to parallelogrem efgh. what is the lenght of gh?

Answers

The value of side GH as shown in the parallelogram is 2 units

What is an parallelogram?

Parallelogram is a polygon that has four sides (quadrilateral) and opposite sides are always equal and parallel to each other

Two shapes are said to be similar if they have the same shape and the ratio of their corresponding sides are proportional. Also, their corresponding angles are equal to each other.

Parallelogram abcd is similar to parallelogram efgh, hence:

FG/BC = GH / CD

substituting:

7/21 = GH / 6

GH = 6 * 7/21 = 2

GH is 2 in

Find out more on parallelogram at: https://brainly.com/question/20526916

the total cost for 5 adult tickets and 18 student tickets at a local theater is $98. The total cost was 98. The total cost for 4 adult tickets and 22 student tickets at the theater is $105. What’s the cost for one adult ticket and one student ticket? PLEASEE BRO

Answers

The cost of one adult ticket is 3.6 and cost of one student ticket is 4.3

Tickets for a school talent show cost $2 for students and $3 for adults. If Chris spends at least $11 but no more than 14 on x student tickets and 1 adult ticket, what is one possible value of x?

Either 4 or is the appropriate response.

Chris spends a total of 2 x + 3 dollars on x student tickets and a total of x adult tickets because each student ticket costs $ 2 and each adult ticket costs $ 3.

Because Chris spends at least $ 11 but no more than $ 14 on the tickets, the entire inequality 2 x + 3 1 can be written.

x = 4 and x = 5.5 are obtained by subtracting 3 from each side of both inequalities and then dividing each side of both inequalities by 2.

A number higher than or equal to 4 and less than or equal to 5.5 must both be integers in order for x to have a value.

Therefore, either x = 4 or x = 5.

To be learn more about integers refer to:

https://brainly.com/question/15276410?referrer=searchResults

#SPJ1


(5b + 16)
(b + 32)°
What is the value of b ?
b =

Answers

Answer:

b = -8

Step-by-step explanation:

To determine the value of b, we can use the factoring method. We can factor the expression

(5b + 16)(b + 32) as (b + 8)(5b + 16).

Setting each factor to 0, we get b + 8 = 0 and 5b + 16 = 0.

Solving for b in the first equation, we get b = -8.

Substituting this value into the second equation, we get 5(-8) + 16 = 0, which simplifies to -40 + 16 = 0.

This equation is true only when the value of b is -8. Therefore, the value of b is -8.

The measures of the angles of a triangle are shown in the figure below. Solve for x.
(5x-17)®
(7x-3)
56°

Answers

The measurement of three angles in the triangle are 43°, 81°, 56°.

What are the angles of a triangle?

A triangle's interior angles always add up to 180°, whereas its exterior angles are equal to the sum of the two interior angles that are not adjacent to it.

Given three angles,

∠A = (5x - 17)°

∠B = (7x - 3)°

∠C = 56°

We know that in a triangle ∠A + ∠B + ∠C = 180°

By substituting values,

(5x - 17) + (7x - 3) + 56 = 180

12x -20 + 56 = 180

12 x + 36 = 180

12x = 180 - 36

12x = 144

x = 144/12

x = 12

By substituting values of x we get,

∠A = (5x - 17)°

     = 5 x 12 - 17

     = 60 - 17

     = 43

∠A = 43°

∠B = (7x - 3)°

     = 7 x 12 - 3

     = 84 - 3

     = 81

∠B = 81°

To learn more about triangle refer to :

https://brainly.com/question/25215131

#SPJ1

A container with an open top is to have 10 m3 capacity and be
made of thin sheet metal. Calculate the dimensions of the box if it
is to use the minimum possible amount of metal.

Answers

The dimensions of the box if it is to use the minimum possible amount of metal are,

⇒ 2.714 m, 2.714 m, 1.358 m

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A container with an open top is to have 10 m³ capacity.

Now,

Let the dimensions are x, y and z.

Since, Volume of box = 10 m³

Hence, We get;

⇒ xyz = 10

⇒ z = 10/xy

Since, A container is open in top.

Hence, The surface area = 2xz + 2yz + xy

Substitute z = 10/xy;

⇒ S.A = 2x (10/xy) + 2y (10/xy) + xy

          = 20/y + 20/x + xy

For minimum metal;

⇒ d (S.A)/ dx = 0

⇒ - 20/x² + y = 0

⇒ y = 20/x²  ..(i)

And, d (S.A) / dy = 0

⇒ - 20/y² + x = 0

⇒ x = 20/y²   ..(ii)

Divide equation (i) and ((ii);

⇒ x = y

Hence, We get;

⇒ xyz = 10

⇒ x³ = 10

⇒ x = 2.714

And, y = 2.714

So, The value of z is,

⇒ z = 10/xy

⇒ z = 10 / 2.714×2.714

⇒ z = 1.358 m

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

What information will be useful to know to answer the main question? How can you get it? How will you use that information

Answers

Answer:

Step-by-step explanation:

Can u give more detail as to what the question is asking pease

It would be helpful to know what the main question is in order to accurately determine what information would be useful to know and how to obtain and use it. Could you please provide the main question?

On a scale, drawing inches equals 10 miles if the length of the road on the scale is 4 inches which of the following could be used to find the length of the road

Answers

On solving the provided question, we can say that - here in equation 10x + =4 = 2

What is equation?

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

the equation we have is  = 10x + =4 = 2

10x = -2

x = -1/5

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

If there are estimated to be 10 ^ 11 galaxies in the known universe and 10 ^ 11 stars in each galaxy, how many stars are estimated to be in the universe?​

Answers

Answer: We can use the information given to find the number of stars in the universe by multiplying the number of galaxies by the number of stars per galaxy:

number of stars = (10 ^ 11 galaxies) x (10 ^ 11 stars per galaxy)

This is a simple arithmetic problem and we can find the solution by multiplying the numbers 10^11 and 10^11

10^11 * 10^11 = (10101010101010101010)(101010101010101010*10) = 10^(11+11) = 10^22

So, there are estimated to be 10 ^ 22 stars in the known universe.

Step-by-step explanation:

12a-3b squared, when a=9, b=4

Answers

Answer:

60

Step-by-step explanation:

12a - 3b²

12(9) - 3(4)²

108 - 3(16)

108 - 48

60

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{12a - 3b^2}\\\mathsf{= 12(9) - 3(4)^2}\\\mathsf{= 12(9) - 3(4\times4)}\\\mathsf{= 12(9) - 3(16)}\\\mathsf{108 - 3(16)}\\\mathsf{= 108 - 48}\\\mathsf{= 60}\\\\\huge\text{Therefore, your answer should be: }\\\huge\boxed{\mathsf{60}}\huge\chdckmark[/tex]



[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]


Lydia used 1/3 pound of peppers and 1/10 pound of cheese to make 3 pizzas. If Lydia uses the same recipe to make 1 pizza, how much cheese is needed?​

Answers

Answer: Lydia used 1/3 pound of peppers and 1/10 pound of cheese to make 3 pizzas, which means that she used 1/3 / 3 = 1/9 pound of peppers and 1/10 / 3 = 1/30 pound of cheese per pizza.

If Lydia uses the same recipe to make 1 pizza, she will need 1/9 pound of peppers and 1/30 pound of cheese. Therefore, the amount of cheese needed is 1/30 pound.

Step-by-step explanation:

HELP ASAP PLS
Question 2 of 5
Select all the correct answers.
Which expressions are prime polynomials?

Answers

Answer: There is no picture

Step-by-step explanation:

write a mutiplcation exprresion that shows ten to the third

Answers

Answer:

10x10x10 or 10*3......

what fraction of 3 kilograms is 50 grams

Answers

Answer:

50/30

5/0

1.6%

Step-by-step explanation:

Rose decided to buy a photocopy machine that is projected to yield cash savings of RM2,000 per year over a 20 years period. Using a 15% discount rate, calculate the present value of the savings.
(Assume that the cash savings occur at the end of the year)

Answers

Answer:

RM832.29

Step-by-step explanation:

Calculate PV Savings

To calculate the present value of the savings, we can use the formula:

PV = cash savings / (1 + r)^t

Where PV is the present value, r is the discount rate, and t is the number of years.

Plugging in the values given in the problem, we get:

PV = RM2,000 / (1 + 0.15)^20

= RM2,000 / 1.15^20

= RM832.29

So the present value of the savings is RM832.29.

Answer: RM25,919.89.

Step-by-step explanation:

The present value of the cash savings is the sum of the present value of each year's cash savings.

To calculate this, the formula for the present value of a single cash flow is used:

Present Value = Future Value / (1 + r)^n

Where r is the discount rate, and n is the number of years.

So, for the first year's cash savings, the present value would be:

PV = 2000 / (1 + 0.15)^1 = 1739.13

For the second year's cash savings, the present value would be:

PV = 2000 / (1 + 0.15)^2 = 1510.71

This can be repeated for the remaining 18 years, and the sum of all the present values is the total present value of the cash savings over 20 years:

Total PV = 1739.13 + 1510.71 + .... + 437.66 = RM25,919.89

Therefore, the present value of the cash savings over 20 years with a 15% discount rate is RM25,919.89.

to solve 2/5 x = 14, you multiply both sides of the equation by 5/2. your friend divides both sides of the equation by 2/5. who is right? explain.

Answers

Answer:

both are right

Step-by-step explanation:

2/5x = 14

multiply both sides by 5/2:

(5/2)(2/5)x = 14(5/2)

x = 70/2 = 35

However, dividing by 2/5 is the same as multiplying by 5/2, so you are BOTH right.  Dividing by a fraction is the same as multiplying by the reciprocal of the fraction.

Is the value of the first 7 ten times as great as the value of the second 7 in 7237

Answers

Answer:

no

Step-by-step explanation:

Please answer!!!Thanks


The swim team trains 4 days every week on monday, tuesday and thursday. The swim team spends 1/2 hours in the gym followed by 1 1/4 hours in the pool. On saturday there is no gym but the swim time is doubled. How many hours per week does the swim team train?

Answers

Answer:

6 hours

Step-by-step explanation:

The swim team trains 4 days every week, with 1/2 hour in the gym and 1 1/4 hours in the pool on Monday, Tuesday and Thursday. On Saturday, there is no gym, but the swim time is doubled, so the total swim time is 2 1/2 hours.

Therefore, the total time spent training each week is 6 hours.

1/2 hour in the gym plus 5 1/2 hours in the pool.

Answer: The swim team trains for 7 hours and 45 minutes a week.

Step-by-step explanation:

Since the swim team trains in the gym and the pool (collectively) on Monday, Tuesday and Thursday, subsequently we will be multiplying GYM TIME + POOL TIME, 3 TIMES to get the time taken for training on the three days i.e. 3 ( ½ + 1 ¼ ) and add twice the time taken in pool for Saturday i.e. 2(1 ¼ )

             

                                                                   = 3( ½ + 5/4) + 2(5/4)

                                                                   =31/4

                                = 7 ¾

Multiply ¾ with 60 as 1 hour = 60 minutes to get the answer in time format.

Firstly, convert mixed fractions into improper ones and find the final answer. Then, convert the final answer into Time format i.e. hours and minutes.

To try more questions on similar topics on the topic Time,

https://brainly.com/question/1169029

Ann 's car can go 132 miles on 4 gallons of gas. During a drive last weekend, Ann used 5 gallons of gas. How far did she drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ann drove last weekend instead of how much gas she used.

Answers

Answer:

Ann traveled 165 miles on 5 gallons of gas

Step-by-step explanation:

First we must know how many miles are in a gallon (in this situation). Last weekend Ann drove 132 miles with 4 gallons of gas, we can divide to find out how many miles she drove on 1 gallon. 132/4 = 33. This means Ann drove 33 miles on 1 gallon of gas. To get your answer, simply multiply 5 and 33. 5 times 33 = 165.

Help if you know how to do this! I’d really appreciate it!

Answers

The value of x is 20 and the value of y is 8 from the given quadrilaterals.

What is a Congruent Polygon?

The definition of a congruent polygon is a polygon that is the same shape, has the same length of sides, and has the same interior angles as the polygon it is being compared to. Congruent shapes must all be the same type of shape in order to fulfill the requirement.

Given that, ABCD≅EFGH

We know that, corresponding parts of congruent polygon are equal.

Now, (4y-4)°=28°

4y=32

y=8

(10x-65)°=135°

10x=200

x=20

Therefore, the value of x is 20 and the value of y is 8 from the given quadrilaterals.

To learn more about the congruent theorem visit:

https://brainly.com/question/24033497.

#SPJ1

2. What are the domain and range for the exponential parent function,
where b is a positive real number not equal to 1 and a > 0?

Answers

On solving the provided question, we can say that - the value of the given polynomials domain will be ( - infinity, 0)

what is domain?

The range of values a function may accept is referred to as its domain. These numbers represent the x-values of a function like f. (x). The range of values that a function may operate on is referred to as its domain. The value that the function returns following the insertion of the x value is this set. A function containing the independent variable x and the dependent variable y is said to be y = f(x). A value of x is said to be in the domain of a function f if it can be used to successfully create a single value y utilizing the value of x for that purpose.

domain will be ( - infinity, 0)

range = (-infinity, +infinity)

To know more about domain visit:

https://brainly.com/question/28135761

#SPJ1

When is it best to solve a system of equations using substitution?​

Answers

Answer:

It is best to solve a system of equations using substitution when one of the equations isolates one of the variables, or when the coefficient of one of the variables is 1 or -1.

Step-by-step explanation:

This makes it easier to substitute one variable for the other, allowing you to solve for the remaining variable. It is also a good idea to check the solution back in the original equations just to make sure it is a valid solution

Answer:

Answer Below

Step-by-step explanation:

It is best to use substitution if one of the variables is isolated or has a coefficient of 1 or -1.

The altitude of the hypotenuse of a right triangle divides the hypotenuse into two segments. If the ratio of lengths of the segments is 1:9 and the length of the altitude is 6 meters, find the lengths of the two segments?

Answers

Answer:

2 m18 m

Step-by-step explanation:

You want the lengths of the segments of the hypotenuse of a right triangle when an altitude of 6 m divides the hypotenuse into parts with the ratio 1:9.

Geometric mean

The altitude to the hypotenuse of a right triangle is the geometric mean of the parts it divides the hypotenuse into. If the shorter part is x, then the longer part is 9x, and their geometric mean is ...

  6 = √(x(9x)) = 3√x² = 3x

  x = 2 . . . . . . . divide by 3

The length of the shorter segment is 2 m; the longer one, 18 m.

Which statement could most likely be a description of the org
expression 12 - 3x ?
a. The amount of money, in dollars, Eloise is left with, if she had
$12 and with that, she bought x + 3 flowers.
b. The amount of money, in dollars, Eloise is left with, if she had
$12 and with that, she bought 3x flowers.
c. The amount of money, in dollars, Eloise is left with, if she had
$3 and with that, she bought 12 flowers at $x each.
The amount of money, in dollars, Eloise is left with, if she had
$12 and with that, she bought x flowers at $3 each

Answers

c is the correct answer

Find the LCM of the first five primes

Answers

Answer:

The first 5 prime numbers are 2, 3, 5, 7 and 11. Their LCM is 2310

Work out 2/3 - 2/5 in its simplest form

Answers

Answer:

It is in its simplest form

Step-by-step explanation:

The answer to this is 4/15

Refer to the diagram shown.

I need help with this please help me

Answers

Answer: Angle-Side-Angle Theorem

Step-by-step explanation:

The two triangles are shown to have congruent angles. By the Reflexive Property of Congruence, Side PM is shared and congruent between the two.

Because the angles are on either side (left and right) of the shared side, the triangles are congruent by the Angle-Side-Angle Theorem.

9.
The table shows the number of pools sold by the Allied Pool company over a six month period.
Allied Pool Sales
Month
Number of
Pools Sold
Feb.
11
Mar.
10
Apr.
12
May
16
June
15
July
18


From the above table, what is the range in the number of pools sold during this period?
8 pools

Answers

According to the table, the Range of pools sold during this period is 8.

What is Range?

The range in statistics for a given data set is the difference between the highest and lowest values. For example, if the given data set is {2,5,8,10,3}, then the range will be 10 – 2 = 8.

Thus, the range could also be defined as the difference between the highest observation and lowest observation. The obtained result is called the range of observation. The range in statistics represents the spread of observations.

Range = Highest Value – Lowest Value

Range = 18 – 10

Range = 8

Learn more about range here: https://brainly.com/question/24326172

#SPJ1

Other Questions
Read these examples from the passage.The race to marry Princess HippodamiaThree playwrights present their workSounding the trumpet to start the Olympics The author includes these examples to show that the ancient Greeks our 21 upcycled packing hacks will deliver you to your destination organized and ready to explore. which item did we discover makes a great travel makeup case? After a cell was treated with a certain chemical, the ribosomes stopped functioning. Which cell activity was immediately affected by this change in ribosome function Does 9 12 15 make a right triangle? In 2013, we (hike) along the Appalachian Trail. Why are lifestyle diseases increasing? help pls! Given m||n, find the value of x. (4x-6) (8x-6) Who is best steel supplier company in Dubai? Step 1: Finding the part-to-part and part-to-whole ratiosTo make his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix.a)What is the ratio of water to drink mix? (b)What is the ratio of drink mix to water? (c)What is the ratio of drink mix to mixed energy drink? d)What is the ratio of water to mixed energy drink? How might a mutation affect the active site of an enzyme? Do the sides 12 16 and 20 make a right triangle? __________ who have been raised apart are typically more similar in intelligence level than biological siblings raised together because they have been born with the same genetic code. What were the major problems of the new nation under the Articles of Confederation? I need some help on the "round to the next period" part. What exactly is the answer then? Thank you! How does her feet compare to the lotus from the episode lotus eaters line 30-31 How many total permanent teeth should an adult have, assuming none have been lost or removed? -8 -16 -20 -32 how do i solve this problem 5.50h=44 What term BEST describes something done just to earn money? A. path B. activity C. job D. career How will you encourage people to participate in cheer dance? 1. What is the rhetorical situation in which Anzaldua finds her- self using different language forms? (Rhetorical situation refers to the contextintended audienceand for writing