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+4y=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.
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