How do solve the following linear system?: # 5x+2y=2, 4x+3y=29 #? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Cem Sentin Nov 29, 2017 #x=-52/7# and #y=137/7# Explanation: #5*(4x+3y)-4*(5x+2y)=5*29-4*2# #7y=137#, so #y=137/7# Hence, #5x+2*137/7=2# #5x=-260/7#, so #x=-52/7# 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 1415 views around the world You can reuse this answer Creative Commons License