solve the system of equations
-3y+4x=13
-5y-6x=-67​

Answers

Answer 1

Answer:

{x,y} = {67/16,-15/4}

Step-by-step explanation:

// Solve equation [2] for the variable  y

 [2]    2y = -8x + 26

 [2]    y = -4x + 13

// Plug this in for variable  y  in equation [1]

  [1]    4x + 5•(-4x+13) = -2

  [1]    -16x = -67

// Solve equation [1] for the variable  x

  [1]    16x = 67

  [1]    x = 67/16

// By now we know this much :

   x = 67/16

   y = -4x+13

// Use the  x  value to solve for  y

   y = -4(67/16)+13 = -15/4


Related Questions

Of 3,400 babies in a hospital, 1244 are boys and the rest are girls. What
percentage are girls?

Answers

9514 1404 393

Answer:

  63.4% are girls

Step-by-step explanation:

The percentage that is boys is ...

  1244/3400 × 100% = 36.6%

The remaining fraction is girls:

  100% -36.6% = 63.4% . . . girls

The quotient of two algebraic expressions is a fractional expression, and the quotient of two polynomials is

Answers

Answer:

rational expression

Step-by-step explanation:

From the given information:

Since the quotient of two algebraic expressions seems to be a fractional expression,

Then the quotient of two polynomials;

For example:

[tex]\dfrac{1}{w}, \dfrac{2w-1}{w+1} \ or \ \dfrac{w^2-1}{w^2+1}[/tex]  is a rational expression.

What is 9m^2 -1 in factored form ?

Answers

( 3 m ) 2 − 1 2 i need to make this 20 characters

Write the equation of the line that passes through the points (-8,3) and (3,2). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

(-8,3)-(3,-)6 is que 16%. YES

last 60 points i got whoever answers first and correct gets brainliest


(50+50-90)/2+95/2+19


have a good day and drink water :)

Answers

Answer:

try 71.5

or

143/2

Step-by-step explanation:

Answer:

-187,190

i hope this help

Answer these two easy questions i give out brainlest

Answers

Answer: 1) true 2) false

if i make 25 dollars in 5 hours what would be the constant rate of change

Answers

Answer:

5 would be your answer.

Step-by-step explanation:

The answer is 5 because you have to divide 25 by 5, and you will get 5.

If I'm wrong, please let me know.

Hope this helps.

Have a great day! :)

Answer:

5

Step-by-step explanation:

This is right because you would divide 25 by 5 and you would get your answer. You make $5 every hour

A student is 7 years old. If you triple the teachers age and add the student's age the answer is 163. How old is the teacher?

Answers

Answer:

52

Step-by-step explanation:

We can write this out as an equation. Let's say that the teacher's age is x. Triple the teachers age plus the students age is 163, which can be written out as:

[tex]3x + 7 = 163[/tex]

We want to isolate the variable, so subtract 7 from both sides. This gives us:

[tex]3x = 156[/tex]

Finally, we divide both sides by  3, giving:

[tex]x=52[/tex]

So the teacher is 52 years old.

Hope this helps!

Answer: The teacher is 52.

Equation: 7+3t=163

Kelly goes to the store and buys 9 boxes of cookies. The cost of each box is represented with the letter c. Which expression could you use to show how much money Kelly spent?

Answers

Answer:

9c because you don't know how much money Kelly actually spent so instead of doing 9 x the price of each box, you replace it with c, so it's 9c

Step-by-step explanation:

what is the range of the following numbers

12, 20, 18, 25, 6​

Answers

Answer:

The answer is 19

Step-by-step explanation:

Range is the difference between the largest and smallest number, so in this case the largest number is 25 and the smallest number is 6. Subtract 25 and 6 to get the range. So the answer would be, The range of the following numbers is 19.

What expression is equivalent to 7.2x7.2x7.2

Answers

Step-by-step explanation: 7.2^3 or 7.2 cubed=373.248. I hope I helped.

What makes two events independent?
A.
The outcome of one event is the same as the outcome of the other event.
B.
The outcome of one event is changed by the outcome of the other event.
C.
The outcome of one event occurs at a different time than the outcome of the other event.
D.
The outcome of one event is not changed by the outcome of the other event.

Answers

Answer:

I think these are the correct answers:

C.

The outcome of one event occurs at a different time than the outcome of the other event.

D.

The outcome of one event is not changed by the outcome of the other event.

A store sells posters each poster cost the same amount door I sell the store reduces the price of each poster by $1.25 Kayla spent $17.17 on for posters at the sale price. What was the price of one poster before the sale?

Answers

Complete question :

store sells posters each poster cost the same amount door I sell the store reduces the price of each poster by $1.25 Kayla spent $17.17 on four posters at the sale price. What was the price of one poster before the sale

Answer:

5.5425

Step-by-step explanation:

Given that:

Price of posters are the same.

Let price of poster before sale = x

Sale on poster = reduction by $1.25

Price on sale = x - 1.25

Amount spent on 4 posters during sale = $17.17

Hence, cost per poster during sale :

$17.17 / 4

= $4.2925

Therefore, cost per poster before sale, x:

Price on sale = x - 1.25

$4.2925 = x - 1.25

x = $4.2925 + $1.25

x = $5.5425

Max was assigned to make 64 cookies for the bake sale. He made 125% of that number. 90% of the cookies he made were sold. How many of Max's cookies were left after the bake sale?

Answers

Answer: there are 8 cookies left

Step-by-step explanation:

Let's count how many cookies Max baked:

125% = 1.25

64 × 1.25 = 80

Let's count how many cookies were sold:

90% = 0.9

80 × 0.9 = 72

Leftover cookies:

80 - 72 = 8

If you help me I’ll give brainliest and 20 points

Answers

Answer:

I believe its 1, 2, and 4

Step-by-step explanation:

hope I helped I may be wrong tho

.................................................

Which of the following statements is not true?
A. Consecutive angles of a rhombus are supplementary.
B. Diagonals of all parallelograms bisect each other.
C. Trapezoids have exactly one pair of parallel sides.
D. Opposite sides of trapezoids are equal.

Answers

Answer:

A (had to be 20 letters for me to send this :')

Step-by-step explanation:

Y=? X=?

HELP ASAP PLEASE

Answers

Answer:

y=1/2x-3

Step-by-step explanation:

I hope you meant slope of the line...

You can find the slope like this-

1/2x= how you move (so m for move)

-3 =where you begin (so b for begin)

So next time you find the slope, just ask yourself where you "begin" (where the line starts) and how you "move" (how the line moves)

The total cost, c, in dollars, of b bottles of water is c = 1.1b. What is the canstant of proportionality?​

Answers

Answer:

1.1

Step-by-step explanation:

19-23 and 26-29 please help
(Image attached)

Answers

Answer:

26.B

27.J

28.B

29. x=40, y=32

Step-by-step explanation:

Answer:

I think its

Step-by-step explanation:

b is 26 sos others dont know

c
84 mi
35 mi
What is the length of the hypotenuse?
C =
miles
HELP NOW

Answers

Answer:

91

Step-by-step explanation:

to find the hypotenuse you do a^2+b^2=C^2

84^2+35^2 = 8281

the square root of 8281 is 91

Helpppppppppo meeeee plsssss

Answers

Answer:

Step-by-step explanation:

[tex]38.7=[/tex] [tex]38.7 / 10^{2}[/tex]

[tex]38.7= 38.7 times 10^{3}[/tex]

[tex]38.7=38.7 times 10^{4}[/tex]

Hope this helps :)

Translate ƒ(x) = |x| so that it's translated up by 5 units and vertically stretched by a factor of 3. What's the new function g(x)? Question 20 options: A) g(x) = |3x| + 5 B) g(x) = |3x| +–5 C) g(x) = 3|x| +–5 D) g(x) = 3|x| + 5

Answers

Given:

The parent absolute function is

[tex]f(x)=|x|[/tex]

To find:

The new function if the parent function is translated up by 5 units and vertically stretched by a factor of 3.

Solution:

The translation is defined as

[tex]g(x)=kf(x+a)+b[/tex]                .... (1)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

Parent function is translated up by 5 units. So, b=5

It is vertically stretched by a factor of 3. So, k=3.

There is no horizontal shift. So, a=0.

Now, putting k=3, a=0 and b=5 in (1), we get

[tex]g(x)=3f(x+0)+5[/tex]

[tex]g(x)=3f(x)+5[/tex]

[tex]g(x)=3|x|+5[/tex]       [tex][\because f(x)=|x|][/tex]

Therefore, the correct option is D.

The formula for the area of a square is s to the second power if the length of the slide is 4.14 what is the area

Answers

Answer:

A = 17.1396 units

Step-by-step explanation:

A = s^2

A = 4.14^2

A = 17.1396 units

4a - 7 = 5
What is the answer 2 step equation

Answers

Answer:

A= 3

Step-by-step explanation:

4a - 7 = 5

move the constant to the right

4a= 5+7

divide

4a=12

Awnser:

A= 3

Quadrilateral ABCD is a parallelogram. Determine the measure of _A.
OA) 96°
B) 78°
C) 52°
OD) 39°

Answers

Answer:

The measure of angle A is: m∠A = 96

Therefore, option A is true.

Step-by-step explanation:

Given

m∠C = 3x

m∠D = x+52

We know that the opposite angles of a parallelogram are also equal.

Determining m∠A

It is clear that A is the opposite angle of C.

i.e.

m∠A = m∠C

as m∠C = 3x

so m∠A = 3x

Determining  m∠B

It is also clear that B is the opposite angle of D.

i.e.

m∠B = m∠D

as m∠D = x+52

so m∠B = x+52

We know that the sum of the angles of a parallelogram is 360°.

so

m∠A + m∠B + m∠C + m∠D = 360°

3x + (x+52) + 3x + (x+52) = 360°

Group like terms

[tex]3x+x+3x+x+52+52=360^{\circ \:}[/tex]

[tex]8x+104=360^{\circ \:}[/tex]

Subtract 104 on both sides

[tex]8x+104-104=360^{\circ \:}-104[/tex]

Simplify

[tex]8x=360^{\circ \:}-104[/tex]

[tex]8x=256[/tex]

Divide both sides by 8

[tex]\frac{8x}{8}=\frac{256}{8}[/tex]

Simplify

[tex]x=32[/tex]

Thus,

The measure of the angle A is:

m∠A = 3x

substitute x = 32

m∠A = 3(32)

m∠A = 96

Hence, the measure of angle A is: m∠A = 96

Therefore, option A is true.

help plz and give the correct answer plz will give brainly
IT'S URGENT

Answers

you have the right answer, it’s C

The sale tax on $25,000 car is $1375 what is the sales tax rate

Answers

Answer:

Tax rate is 5.5% because 1,375/25,000 is equal to 0.055 which is 5.5 in percentage form. To prove it you can multiply 25,000 by 0.055 and get 1,375.

Step-by-step explanation:

Sales tax rate is 5.5% of cost of car.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given,

Price of the car = $25000

Tax on car = $1375

Sales tax rate = ($1375/$25000)×100

                           = 0.055 × 100

                           = 5.5%

5.5 % of sales tax is applied on the cost of car.

Learn more about percentage here:

https://brainly.com/question/1578304

#SPJ2

An auditorium can seat as many as 1,200 people. The first row has 35 seats. Each of the other rows has 40 seats. What is the maximum(most) number of rows of 40 seats that can be set up in the auditorium?

Answers

Answer:

29 rows of 40

Step-by-step explanation:

1200-35=1165

1165/40=29.125

**15 Points**
Find the rate of change.

Graph attached

A. –7,500; The value drops $7,500 every year.

B. –750; The value drops $750 every year.

C. –75; The value drops $75 every year.

D. –1; The value drops $1 every year.

Answers

Answer:

B

Step-by-step explanation:


Expand the brackets 5(2x + 3)

Answers

Answer:

10x+15

Step-by-step explanation:

5 x 2x=10x

5x3=15

Answer:

10x+15

Step-by-step explanation:

5 x 2x= 10x

5 x 3= 15

10x+15

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