Checking Solution of System of Equations

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

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