[tex]\text{Solve the systems of equations:}\\\\3x - 2y = 5\\\\y= -3x+2\\\\-2y = -3x+5\\2(y= -3x+2)\\\\-2y=-3x+5\\2y=-6x+4\\\\0=-9x+9\\\\\text{Add 9x to both sides}\\\\9x=9\\\\\text{Divide by 9}\\\\x=1\\\\\text{Plug in 1 to x in any of the equations and solve:}\\\\y=-3(1)+2\\\\y=-3+2\\\\y=-1\\\\\boxed{\text{x = 1 and y = -1}}[/tex]
