How do you solve the system of equations: y = 2x  4 y = 4x  10 Since both expressions are equal to y, then they are equal to each other. 2x  4 = 4x  10 {substituted 2x  4, in for y, into bottom equation} 4 = 2x  10 {subtracted 2x from each side} 2x = 6 {added 10 to each side} x = 3 {divided each side by 2} y = 2x  4 {top equation} y = 2(3)  4 {substituted 3, in for x, into top equation} y = 6  4 {multiplied} y = 2 {subtracted} x = 3 and y = 2 By the way, (3,2) is the point of intersection of the two lines when they are graphed on a coordinate plane, as you see below:  Algebra House
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