How do solve the following linear system?: # x= y - 11 , x - 3y = 1 #? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer SagarStudy Dec 31, 2015 #x=-17# and # y=-6# Explanation: #x=y-11# #implies y-x=11##.....................(i)# #x-3y=1##.......................(ii)# By adding #(i)# and #(ii)#, we have #-2y=12# #implies y=-6# Put #y=-6# in #(ii)# #implies x-3(-6)=1# #implies x+18=1# #implies x=-17# 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 1073 views around the world You can reuse this answer Creative Commons License