How do you solve this system of equations?
-3x + 2y = 23 5x + 2y = -17
One way to solve this system, is to subtract the two equations as they are. This would eliminate the y,
and then you can solve for x. -3x + 2y = 23 5x + 2y = -17 ------------- -8x = 40 {subtracted the two equations} x = -5 {divided each side by -8} -3x + 2y = 23 {first equation} -3(-5) + 2y = 23 {substituted 5, in for x, into first equation} 15 + 2y = 23 {multiplied -3 by -5} 2y = 8 {subtracted 15 from each side} y = 4 {divided each side by 2} x = -5 and y = 4 If you graph the two equations on a graphing calculator, that is the point of intersection of the two lines.
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