Is (1,5) a solution of the system? 5x  2y = 5 3x  7y = 32 Substitute (1 in for x) and (5 in for y) into both equations. If you get a true statement, then it is a solution for that equation. 5(1)  2(5) = 5 {substituted coordinates into first equation} 5  10 = 5 {multiplied 5 by 1 and 2 by 5} 5 = 5 {combined like terms}  works in first equation {makes a true statement} 3(1)  7(5) = 32 {substituted coordinates into first equation} 3  35 = 32 {multiplied 3 by 1 and 7 by 5} 32 = 32 {combined like terms}  works in second equation {makes a true statement} Both equations yield true statements when you substitute in, therefore it is a solution of the system © Algebra House
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