If we consider the equations as a system of equations, it would be true that the solution to the system is ( 4, 0). This is because the solution to a system is (x,y) that solves both equations.
y=- x+4 y=2x-8 ⇒ 0=- ( 4)+4 ✓ 0=2 * 4-8 ✓Notice that when we set the equations equal to each other there is only one variable left, x. This implies that the y-values are equal and the solution to the equation will be the x-coordinate of the point where the lines intersect.
- x+4 = 2x-8
Let's solve this equation.