How do solve the following linear system?: #5x - 3y = -29 , x - 3y = -6 #? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Jennifer C. Dec 8, 2015 #(-2, 1/12)# Explanation: #x-3y=-6# #x=3y-6# plug in #x# for #5x-3y=-29# #5(3y-6)-3y=-29# #15y-30-3y=-29# #12y=1# #y=1/12# plug in #y# in #x=3y-6# to find #x# #x=3(1/12)-6# #x=4-6# #x=-2# #(-2, 1/12)# 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 1595 views around the world You can reuse this answer Creative Commons License