How do you solve the following system: 4x-5y= -1, 2x+9y=5 ? Algebra Systems of Equations and Inequalities Linear Systems with Addition or Subtraction 1 Answer Alan N. Mar 9, 2018 x= 8/23 , y=11/23 Explanation: 4x-5y=-1 [A] 2x+9y=5 [B} 2xx[B] -> 4x+18y=10 [C] [C] - [A] -> 23y=11 :. y =11/23 y=11/23 in [B] -> 2x +9xx11/23 =5 x = 1/2(5-99/23) = 1/2 xx 16/23 = 8/23 Answer link Related questions What if the elimination method results in 0=0? How do you use the addition and subtraction method to solve a linear system? Can any system be solved using the addition and subtraction method? When is the addition and subtraction method easier to use? How do you solve -x-6y=-18 and x-6y=-6 using the addition and subtraction method? How do you solve 5x-3y=-14 and x-3y=2 using elimination? Do you need to add or subtract the equations 5x+7y=-31 and 5x-9y=17 to solve the system? How do you solve the system of equations 3y-4x=-33 and 5x-3y=40.5? What is the solution to the system x+y=2 and x-y=6? What is the common point of x+2y=6 and x+y=2? See all questions in Linear Systems with Addition or Subtraction Impact of this question 1810 views around the world You can reuse this answer Creative Commons License