Solve the following system of equations:
3x-5y=-11
7x+2y=12.
Express your answer as an ordered pair (x,y).
3x - 5y = -11
7x + 2y = 12
Multiply the frist equation through by 2 and the second one through by 5
6x - 10y = -22
35x +10y = 60 add these
41x = 38
x = 38 /41
Sub this back into any equation to find y
3 (38/41) - 5y = -11
114/41 - 5y = - 451/ 41
-5y = -451/ 41 - 114/41
-5 y = - 565 / 41
y = - 565 / [-5 * 41 ]
y = 113/41