How do you solve the following system?: # x +2y =-7 , -2x +2y = 4# Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer OG6599 · Stefan V. Jun 6, 2018 #x = 11/3# #y = -5/3# Explanation: #x + 2y = -7 " "(1)# #-2x + 2y = 4 " "(2)# Subtract equation #(1)# from #(2)# #-3x= 11# #x= -11/3# Substitute #x = -11/3# into equation #(1)# #-11/3 + 2y = -7# #2y = 11/3 -7# #2y = -10/3# #y= -5/3# Answer link Related questions How do you solve systems of equations using the substitution method? How do you check your solutions to a systems of equations using the substitution method? When is the substitution method easier to use? How do you know if a solution is "no solution" or "infinite" when using the substitution method? How do you solve #y=-6x-3# and #y=3# using the substitution method? How do you solve #12y-3x=-1# and #x-4y=1# using the substitution method? Which method do you use to solve the system of equations #y=1/4x-14# and #y=19/8x+7#? What are the 2 numbers if the sum is 70 and they differ by 11? How do you solve #x+y=5# and #3x+y=15# using the substitution method? What is the point of intersection of the lines #x+2y=4# and #-x-3y=-7#? See all questions in Systems Using Substitution Impact of this question 1439 views around the world You can reuse this answer Creative Commons License