What is y=-2x-6 and y=x+9

The correct answer is x = - 5, y=4.

Explanation:

Since y is isolated in both of these equations, we will set them equal to one another to solve:

-2x-6=x+9.

Add 2x to both sides:

-2x-6+2x=x+9+2x

-6=3x+9.

Subtract 9 from both sides:

-6-9=3x+9-9

-15=3x.

Divide both sides by 3:

-15/3 = 3x/3

-5=x.

Substitute this into the second equation; y = - 5+9 = 4.