How do I solve system of equations by substitution

y=-2x+2

y=7x+11

(-1, 4)

Step-by-step explanation:

We are told that:

y = - 2x + 2 and

y = 7x + 11.

We can eliminate "y" by setting these two equations = to each other:

-2x + 2 = 7x + 11.

We need to solve this equation for x.

Adding 2x to both sides, we get 2 = 9x + 11.

Subtracting 11 from both sides results in - 9 = 9x. Thus, x = - 1.

Find y by subbing - 1 for x in either of the given equations.

If we use the 2nd equation, then y = 7 (-1) + 11, or y = 11-7, or y = 4.

The solution of this system of linear equations is (-1, 4)