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.