Question

Solve the system of equations using the substitution method.

{y=−3x+7
{x=−2y−16
Enter your answers in the boxes.
x=
y=

Answer 1

x = 6

y = -11

Step-by-step

To solve the system of equations, i just need to substitute the value of one variable into the other equation. I will start by solving for y.

1. Substitute the value for x into the first equation

y = -3(-2y - 16) + 7

2. Use the Distributive Property of Multiplication to get rid of the parentheses

y = 6y + 48 + 7

3. Combine like terms

y = 6y + 55

4. Subtract 6y from both sides to get all y values together on one side

y - 6y = 6y + 55 - 6y

5. Simplify

-5y = 55

6. Divide both sides by -5 to find the value of y

-5y / -5 = 55 / -5

7. Simplify

y = -11

Part 2: Substitute the value for y into the second equation and solve for x

1. Substitute

x = -2(-11) - 16

2. Multiply

x = 22 - 16

3. Subtract

x = 6

Part 3: State your answer

x = 6

y = -11

I hope this helps!

Answer 2

Answer: x = 6 & y = -11

Explanation:

You take the equation (y=-3x+7) and put it in the x equation...

x =-2(-3x+7)-16 -- Then continue with the math

x = 6x-14-16

x=6x-30

-5x=-30

x = 6

Then you continue to subsitute the x into the y equation

y= -3(6)+7

y= -18+7

y= -11