One times a number x, plus 2 times a number y, equals 9. Negative one times x minus 3 times y equals -14. What are the numbers?

3(x + 2y = 9) = 3x + 6y = 27 < I multiplied this equation by 3 to get the y value to cancel with the y value of the next equation 2(-x - 3y = -14) = -2x - 6y = -28 , I multiplied this equation by 2 to get the y value to cancel with the y value of the previous equation    3x + 6y = 27 + 2x  - 6y = -28 ----------------------- 5x             = 55              x  = 55/5              x = 11 Then plug the 11 into one of the equations to solve for y. x + 2y = 9 (11) + 2y = 9            2y = 9 - 11            2y = -2              y = -2/2              y = -1 hope this helps :)