How do you solve x+5y=-7 and -x+2y=-8? Algebra Systems of Equations and Inequalities Linear Systems with Addition or Subtraction 1 Answer ali ergin May 27, 2016 #y=-15/7# #x=26/7# Explanation: #x+5y=-7" "(1)# #-x+2y=-8" "(2)# #"the sum of the two equation is"# #cancel(x)-cancel(x)+5y+2y=-7-8# #7y=-15# #y=-15/7# #"using (1) or (2)"# #x+5(-15/7)=-7# #x-75/7=-7# #x=-7+75/7# #x=(-49+75)/7# #x=26/7# 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 1666 views around the world You can reuse this answer Creative Commons License