For an ordered pair to satisfy a system of equations, both the x- and y-values of the ordered pair must satisfy each equation in the system. Both expressions on the right-hand side of the given equations are equal to y, therefore it follows that both expressions on the right-hand side of the equations are equal to each other: x2−4x+4=4−x. This equation can be rewritten as x2−3x=0, and then through factoring, the equation becomesx(x − 3) = 0. Because the product of the two factors is equal to 0, it can be concluded that either x = 0 or x – 3 = 0, or rather, x = 0 or x = 3.