How do you solve the system by addition x + y = 4x+y=4 and x – y = 6? Algebra Systems of Equations and Inequalities Linear Systems with Addition or Subtraction 1 Answer CW Sep 3, 2016 x=5, y=-1 Explanation: x+y=4 -----(1) x-y=6 -----(2) (1)+(2) => 2x=10 => x=5 substitute x=5 into (1) => 5+y=4 => y=-1 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 1515 views around the world You can reuse this answer Creative Commons License