How do you solve the following system of equations?: #x-2y=13 , 3x-y=7#? Algebra Systems of Equations and Inequalities Linear Systems with Addition or Subtraction 1 Answer ali ergin Mar 6, 2016 #y=-32/5# #x=x=1/5# Explanation: #x-2y=13" "x=13+2y" "3x=39+6y# #3x-y=7" "39+6y-y=7" "32=-5y# #y=-32/5# #x-2(-32/5)=13" "x=13-64/5" "x=1/5# 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 1808 views around the world You can reuse this answer Creative Commons License