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 1449 views around the world You can reuse this answer Creative Commons License