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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