How do you solve the system by addition #x + 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 1301 views around the world You can reuse this answer Creative Commons License