How do you solve the following system: # 7x - y = 10 , 8x - y = 13 #? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer SagarStudy Jan 6, 2016 #x=3# and #y=11# Explanation: #7x-y=10##.................(i)# #8x-y=13##..................(ii)# Subtract #(i)# from #(ii)# #implies x=3# Put #x=3# in #(i)# #implies 7(3)-y=10# #implies 21-y=10# #implies y=11# #implies y=11# 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 962 views around the world You can reuse this answer Creative Commons License