-5x+y=-10 and -4x-y=-26

Answers

Answer 1
Answer:

[tex]\left\{\begin{matrix}x=4\\y=10\\\end{matrix}\right.[/tex]

Step-by-step explanation:Solve the equation

[tex]\left\{\begin{matrix}-5x+y=-10\\-4x-y=-26\\\end{matrix}\right.[/tex]

_____________________________________

Add the two equations

[tex]-5x+y+(-4x-y)=-10+(-26)[/tex]

____________________________

Remove parentheses

[tex]-5x+y-4x-y=-10-26[/tex]

_________________________________________________

Cancel one variable

[tex]-5x-4x=-10-26[/tex]

___________________________________________

Combine like terms

[tex]-9x=-10-26[/tex]

______________________________________________

Calculate the sum or difference

[tex]-9x=-36[/tex]

________________________________________________

Divide both sides of the equation by the coefficient of variable

[tex]x=\frac{-36}{-9}[/tex]

____________________________________________________

Determine the sign for multiplication or division

[tex]x=\frac{36}{9}[/tex]

_________________________________________

Cross out the common factor

[tex]x=4[/tex]

_____________________________________________Step-by-step explanation:Substitute into one of the equations

[tex]-4\times4-y=-26[/tex]

____________________________________________________

Calculate the product or quotient

[tex]-16-y=-26[/tex]

______________________________________________________

Rearrange variables to the left side of the equation

[tex]-y=-26+16[/tex]

_____________________________________________

Calculate the sum or difference

[tex]-y=-10[/tex]

_________________________________________-

Divide both sides of the equation by the coefficient of variable

[tex]y=10[/tex]

I hope this helps you

:)


Related Questions

If AC= 8x-14 and EC = 2x + 11, solve for x.

Answers

Step-by-step explanation:

AC= 8x-14

AC+14=8x

x=(AC+14)÷8

EC=2x+11

EC-11=2x

x=(EC-11)÷2

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

What number is one-eighth of three hundred and sixty?

Answers

Answer:

45

Step-by-step explanation:

Have a great day!

#EquestrianLion

100 POINTS! ! !
Exploiting will be reported.


Chase deposits $6,604.80 into a savings account that pays a simple annual interest rate of 3.22%. How much interest will he earn after 4 years?

SHOW WORK and will give brainlist.

Answers

Answer:

$850.69824

Step-by-step explanation:

simple interest formula : (principal * rate of interest * time)/100

(6,604.80 * 3.22 * 4)/100

$850.69824

Answer:

$850.70 (nearest cent)

Step-by-step explanation:

Simple interest formula:   A = P(1 + rt)

where:

A = final amountP = principal (initial balance)r = annual interest rate (in decimal form)t = time (in years)

Given:

P = $6,604.80r = 3.22% = 0.0322t = 4 years

Substituting given values into the formula, and solving to find A:

⇒ A = 6604.8(1 + 0.0322 · 4)

       = 6604.8(1.1288)

       = $7455.50 (nearest cent)

Therefore, to find the amount of interest earned, subtract the principal from the final amount:

⇒ I = A - P

     = 7455.50 - 6604.80

     = $850.70 (nearest cent)

Find three points that lie on the circle

Answers

Answer:

Use (a-b)2 formula that is a2-2ab+B2

I think it will help you

Suposse X=a

y= B

And then use formula

Help please if ur good at math

Answers

Part (a)

  [tex]\int\limits^6_0 {f(x)} \, dx =\int\limits^3_0 {f(x)} \, dx +\int\limits^6_3 {f(x)} \, dx =8+(-7) = 1[/tex]

Part (b)

 [tex]\int\limits^3_6 {f(x)} \, dx =-\int\limits^6_3 {f(x)} \, dx =-(-7) = 7\\[/tex]

Part (c)

[tex]\int\limits^3_3 {f(x)} \, dx =0[/tex]

Part (d)

[tex]\int\limits^6_3 {-5f(x)} \, dx =-5* \int\limits^6_3 {f(x)} \, dx=-5 * -7 =35[/tex]

Hope that helps!

z varies jointly with x and y. If x = 2, y = 3, and z = 4, write the variation equation and find z when x = −6 and y = 2.

Answers

Step-by-step explanation:

that means

z = k×x×y

4 = k×2×3 = k×6

k = 4/6 = 2/3

so, when x = -6 and y = 2, we get

z = 2/3 × -6 × 2 = 2 × -2 × 2 = -8

As you move to the
on a number line the values of the numbers
Which choice best completes the sentence?
right; increase
right; decrease
left; increase
left; remain the same

Help please I’m stuck on this question!

Answers

Answer:

Based on the argument behind the correctness of the assumption is impossible, so we rule that the assumption is correct, now is the answer

The second answer from above

2. Evaluate the function rule for the given value. y = 4.2 for x = -6​

Answers

Answer:
y= 4 x 2(6)
y= 4 x -12
y= -48
Step-by-step explanation:
y= 4 x 2(6)
y= 4 x -12
y= -48

which of the following steps were applied to ABCD to obtain A'B'C'D'?

A. shifted 3 units left and 2 units up
B. shifted 2 units left and 4 units up
C. shifted 2 units left and 3 units up
D. shifted 3 units left and 4 units up ​

Answers

Answer:

A. shifted 3 units left and 2 units up

Answer:

shifted 3 units left and 2 units up

Find the value of y and z

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}} \huge♨[/tex]

In the given figure, NQ acts as a diameter and since diameter subtends 90° at the arc of the circle, so we can conclude that ~

[tex]\qquad \sf  \dashrightarrow \:3y = 90 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = 90 \degree \div 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = 30 \degree [/tex]

Now, Let's use Angle sum property of Triangle to solve for z :

[tex]\qquad \sf  \dashrightarrow \:4z + 3y + 50 \degree = 180 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \:4z +90 \degree + 50 \degree = 180 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \:4z = 180 \degree - (50 \degree + 90\degree)[/tex]

[tex]\qquad \sf  \dashrightarrow \:4z = 180 \degree - (140\degree)[/tex]

[tex]\qquad \sf  \dashrightarrow \:4z = 40 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \:z = 40 \degree \div 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:z = 10 \degree [/tex]

I hope you understood the procedure, you can ask me in comments if you have any doubts.

If Mrs.davis serves each guest 1/6 of a pie what is the greatest number of guests she can serve

Answers

Well if the whole pie is divided into 1/6ths it would only be 6 people before the entire pie ran out
Mrs. Davis can serve a maximum of 6 guests if she gives 1/6 of the pie to each guest.

there are 45 marbles in a blue jar. the blue jar has 9 times as many marbles as a red jar. let m be the number of marbles in the red jar.
Write an equation that relates the number of marbles in the two jars. Use 9, m, and 45​

Answers

Answer:

9m = 45

Step-by-step explanation:

if the blue jar has 9 times as many marbles as the red jar (which is 45 marbles), then that means that:

9m = 45

where m is the number of marbles in the red jar.

what is the slope of 5x-4y=3

Answers

Answer:

5/4

Step-by-step explanation:

Hi there!

We are given the line 5x-4y=3, and we want to find the slope of it.

The line is currently in standard form (ax+by=c); one way to find the slope of the line is to convert it into slope-intercept form (y=mx+b)

To do that, we need to isolate y on one side (in other words, we need to solve the equation for y)

First, subtract 5x from both sides

5x-4y=3

-5x     -5x

____________

-4y = -5x + 3

Divide both sides by -4

[tex]y=\frac{5}{4} x - \frac{3}{4}[/tex]

In slope intercept form, m represents the slope; in this problem, 5/4 takes the place of where m should be, meaning 5/4 is the slope.

Hope this helps!

See more on this topic here: https://brainly.com/question/18929849

Write an equation for the graph in terms for x
Y=

Answers

I don’t see the graph

Observations of the center of the Milky Way show the presence of a super massive black hole with a mass of 4.6 x 106 solar masses. Compute the Schwarzschild radius of this supermassive black hole. Give your answer in units of astronomical units (AU). At what distance does Mercury orbit from the Sun in AU? If we swapped out the Sun for this super massive black hole, would the event horizon extend beyond the orbit of Mercury? Be sure to show your calculations. 1 AU = 1.5 x 108 km.

Answers

The Schwarzschild radius of the black hole depends on its mass

The Schwarzschild radius of this supermassive black holeis 0.091 AU

How to determine the Schwarzschild radius?

The Schwarzschild radius (r) is calculated using:

[tex]r_s = \frac{2GM}{c^2}[/tex]

Where:

G =  Gravitational constant = 6.67408 × 10-11 m3 kg-1 s-2

M = Mass of the object = 4.6 x 10^6 solar masses

c = Speed of light = 299792458 m / s

Express the mass in Kg

M = 4.6 x 10^6 * 9.2 * 10^18 = 9.15 * 10^36 kg

Substitute the above values in the equation

[tex]r_s = \frac{2 * 6.67408 * 10^{-11} * 9.15 * 10^36}{299792458 ^2}[/tex]

Evaluate the expression

[tex]r_s = 13589425339.6[/tex] m

Express as km

[tex]r_s = 13589425.3396[/tex] km

Expressas AU

[tex]r_s = \frac{13589425.3396}{1.5 * 10^8}[/tex]

Evaluate the quotient

[tex]r_s = 0.09059616893[/tex]

Approximate

[tex]r_s = 0.091\ AU[/tex]

Hence, the Schwarzschild radius of this supermassive black holeis 0.091 AU

Read more about gravitational radius at:

https://brainly.com/question/4208016

Suppose we want to choose 7 letters, without replacement, from 12 distinct letters. (a) How many ways can this be done, if the order of the choices is not relevant?

Answers

Answer:

3991680 or 792

Step-by-step explanation:

12P7 = 3991680

or

12C7 = 792

P = permutation

C = combination

Sorry, I am not sure which answer is correct or if any of the answers are correct.

The grandma of a 6-year-old is asking them 2x3 what is 2x3

Answers

Answer:

The answer of 2 x 3 would be 6

Step-by-step explanation:

The reason why 2 x 3 or 2 times 3 would be six/6. Is because if you had 2 pairs of 3 items, you would get a total of 6 items. And if you had 3 pairs of 2 items, you would still have a total of 6 items.

Simplify the expression. Enter the answer in the box. 5 1/6 - 7 1/3

Answers

Answer:

-15.6666667

Step-by-step explanation:

first of all divide both side then minus the divide number

Use Demos Graphing Calculator
Rob works part time at the Fallbrook Riding Stable. He makes $5 an hour exercising
horses and $10 an hour cleaning stalls. Because Rob is a full-time student, he can
work no more than 12 hours per week. However, he must make at least $60 per
week.

Which of the following is a possible solution for this system of inequalities?

A. 1 hour exercising and 1 hour cleaning

B. Two hours exercising and five hours of cleaning

C. Seven hours of exercising and eight hours of cleaning

D. Two hours exercising and eight hours cleaning

Answers

Answer:

D. Two hours exercising and eight hours cleaning

Step-by-step explanation:

Rob works part time at the Fallbrook Riding Stable. He makes $5 an hour exercising horses and $10 an hour cleaning stalls. Because Rob is a full-time student, he can work no more than 12 hours per week. However, he must make at least $60 per week.

x = hrs. exercising horses

y = hrs. cleaning stalls

Equations:

Hours he can work per week:

x + y ≤ 12

Amount of money he can make per week:

5x + 10y ≥ 60

Now, graph your equations into desmos.

As you can see in the graph, the correct answer is D (2, 8)

Check your answer by hand:

x + y ≤ 12

2 + 8 ≤ 12

10 ≤ 12

This statement is correct

5x + 10y ≥ 60

5(2) + 10(8) ≥ 60

10 + 80 ≥ 60

90 ≥ 60

This statement is correct

Therefore, the correct answer is D

Hope this helps!

Trigonometric Equations

Solve the equation over the interval [0°, 360°)

cos(theta) = -1/2

Answers

Answer:

[tex]\frac{2\pi }{3};\frac{4\pi }{3}.[/tex]

Step-by-step explanation:

1) cos(θ)=-0.5;

theta=±2π/3+2πn, where n∈Z;

2) if θ∈[0;360], then

[tex]\theta=\frac{2\pi }{3}; \frac{4\pi }{3}.[/tex]

find x and y. use proper postulates or theorems to justify your answer

Answers

Answer:

x = 110

y = 23

Step-by-step explanation:

For X :

100 = x -10

110 = x

Corresponding angles are equal

For Y :

180 - 110 = 70

(2y + 24) = 70

2y = 46

y = 23

Adjacent Angles on a straight line add up to 180 Degrees

Give an example of a well-stated research question that involves estimating a characteristic about the population of part-time students at your college.

Improve the following research question so that it is a well stated research question. Research Question: Do students work a lot of hours?

Answers

Answer:

1) what is the number of male part time students between the ages 15 - 19 years?

2) do students work more than 4 hours a day?

If 12%of X is 306, what is X equivalent to?

Answers

Answer:

X = 2550

Step-by-step explanation:

Convert 12% to a decimal:

⇒ 12% = 12/100 = 0.12

   12% of X is 306

⇒ 0.12X = 306

⇒ X = 306 ÷ 0.12

⇒ X = 2550

Answer:

2550

Step-by-step explanation:

Given expression: 12% of x is 306

We can make the following points of the expression:

    1. The word "of" means multiplication (×).

⇒ 12% × x is 306

    2. The percent is always divided by 100 in fraction.

⇒ 12/100 × x is 306

    3. The word "is" means equal or equivalent.

⇒ 12/100 × x = 306

Now, let's simplify the expression.

⇒ 12x/100 = 306

⇒ 12x = 306 × 100

⇒ 12x/12 = 306 × 100/12

x = 51 × 50 = 2550

What is the slope of the line defined by the equation y = 5x + 3?

A) 3/5
B) 5/3
C) 3
D) 5

Answers

Answer:

D) 5

Step-by-step explanation:

5 is the rise. x or 1 is the run. (0,3) is the start location.

What are the possible transformations that could have been used to create the red figure from the blue figure ABCD?

Answers

Answer:

I believe you are correct in saying the option you are clicked on, B.

Step-by-step explanation:

it would make the most sense

When a constant force acts
upon an object, the acceleration of the object varies Inversely with Its mass. When a certain constant force acts upon an object witt
mass 5 kg, the acceleration of the object Is 15 m/s-
If the same force acts upon another object whose mass is 3 kg, what is this object's acceleration?

Answers

Answer:

25

Step-by-step explanation:

First expression: A= k/M

when A = 15 and M = 5, k = A×M = 75

therefore, when M = 4, A = 75/3 = 25

Find the greatest possible number of consecutive zeros at the end of the product of three positive integers if the sum of these three integers equals 939.

Answers

Answer:

I think its 5 consecutive zeros.

Step-by-step explanation:

This would be a guess but I think you would need two numbers in the hundreds that also have 2 parts of which have a product of a number ending in 0, like 4 and 5.

So my guess would be

400 * 500 * 39

= 7800000

Please help
I don’t know what to do with this

Answers

Answer:

The prediction should be 5 via interpolation.

Step-by-step explanation:

Based on the values you have, the linear equation is f(x)=x-1. So replace x with the number you're looking for (6).

In a general sense, to extrapolate is to infer something that is not explicitly stated from existing information. Interpolation is an estimation of a value within two known values in a sequence of values.

Can somebody please help me

Answers

Answer: C

Step-by-step explanation:

This is just a straight definition - for a normal distribution, the percent within 2 standard deviations of the mean is about 95.44%.

what is the area of the figure?

Answers

Answer:

182 m

Step-by-step explanation:

The shape is a trapezoid. The area of the trapezoid formula is [tex]\frac{a + b}{2}h[/tex].

The two bases (AKA a and b) are 8 + 18.

The height is 14.

[tex]\frac{18+8}{2} 14[/tex], Add 18 + 8

[tex]\frac{26}{2}14[/tex], Divide 26 by 2

[tex]13 *14[/tex], 182

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