How do you solve the following system?: #x +7y =53, x -9y = -56# Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer SagarStudy Jan 5, 2016 #x=85/16# and #y=109/16# Explanation: #x+7y=53...................(i)# #x-9y=-56...................(ii)# Subtract #(ii)# from #(i)# #implies 16y=109# #implies y=109/16# Put #y=109/16# in #(i)# #implies x+7(109/16)=53# #implies x+763/16=53# #implies x=53-763/16=(848-763)/16=85/16# #implies x=85/16# 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 1342 views around the world You can reuse this answer Creative Commons License