How do you solve the following linear system: 4x-y=-4 , 3x+3y=-18 ? Algebra Systems of Equations and Inequalities Linear Systems with Addition or Subtraction 1 Answer Cem Sentin Jun 21, 2018 x=-2 and y=-4 Explanation: 3*(4x-y)+3x+3y=3*(-4)+(-18) 12x-3y+3x+3y=(-12)+(-18) 15x=-30, so x=-2 Hence, 4*(-2)-y=-4 -8-y=-4 y=(-8)-(-4)=-4 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 1828 views around the world You can reuse this answer Creative Commons License