You multiply the first equation by 3 and the second one by 2: 3*(2x - 4y = 12) = 6x - 12y = 36 2*(3x - 5y =20) = 6x - 10y = 40 Then use elimination: 6x - 12y = 36 - (6x - 10y = 40) = -2y = -4 Solve: y = 2 Then, plug 2 into the first equation and solve: 2x - 4(2) = 12 2x - 8 = 12 2x = 20 x = 10 There is the answer, x = 10 and y = 2.