Solve the simultaneous equations 3x + 2y = 4 and 4x + 5y = 17

3x + 2y = 4 (equation 1) 4x + 5y = 17 (equation 2) Multiply equation 1 by 2.5, giving 7.5x + 5y = 10 (equation 1) 4x + 5y = 17 (equation 2) Subtract equation 2 from equation 1, giving 3.5x = -7 Therefore, x = -2 Substitute x = -2 back into equation 1, so 3(-2) + 2y = 4 -6 + 2y = 4 2y = 10 Therefore y= 5 Final answer: x=-2, y=5