Put the steps in order that are used to solve the following systems of equations by substitution. −7x−2y=−13 x−2y=11 (10 points)

Question

Put the steps in order that are used to solve the following systems of equations by substitution. −7x−2y=−13 x−2y=11 (10 points) 
STEP BY STEP

GPT 3.5 · Answer

1. Start by solving one of the equations for one variable in terms of the other. In this case, we can solve the second equation for x: x = 2y + 11.

2. Substitute the expression for x into the other equation. We substitute 2y + 11 for x in the first equation: -7(2y + 11) - 2y = -13.

3. Simplify the equation: -14y - 77 - 2y = -13.

4. Combine like terms: -16y - 77 = -13.

5. Move the constant term to the other side of the equation: -16y = 64.

6. Divide both sides of the equation by -16: y = -4.

7. Substitute the value of y back into one of the original equations. We'll use the second equation: x - 2(-4) = 11.

8. Simplify the equation: x + 8 = 11.

9. Move the constant term to the other side of the equation: x = 3.

10. The solution to the system of equations is (x, y) = (3, -4).