Question #73bfa Algebra Systems of Equations and Inequalities Linear Systems with Addition or Subtraction 1 Answer anor277 Sep 22, 2016 x=5; y=2 Explanation: We are given two linear equations: 2x+y=17 (i) x-y=-2 (ii) We ADD (i) and (ii), i.e. 2x+cancely+x-cancely=15 3x=15, thus x=5, and substituting this back into (i) or (ii), and y=7. Does this fit? Do not trust my arithmetic! 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 1595 views around the world You can reuse this answer Creative Commons License