since y = -(x-1) + 6 and y = 2x + 4 you can set them = to each other
-(x-1) + 6 = 2x + 4
-x + 1 + 6 = 2x + 4
-x + 7 = 2x + 4
subtract 2x from both sides
-3x + 7 = 4
subtract 7 from both sides
-3x = -3
divide both sides by -3 and x = 1. Plug x= 1 into either equation to solve for y
2(1) + 4 so y=6
solution (1,6)