Use the substitution method: 2x - 6y = -12 x - 2y = -8 Then x = 2y - 8 Substitute in the first equation: 2(2y - 8) - 6y = -12 4y - 16 - 6y = -12 -2y = 4 y = -2 Now substitute y in one of the two equations given you prefer: For example x-2*(-2) = -8 x + 4 = -8 x = -12 The solutions are x = -12 and y = -2