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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