How do you solve the following system?: #5x-7y=22 , -6x+3y=17 # Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Cem Sentin Jul 17, 2018 #x=-185/27# and #y=-217/27# Explanation: #3*(5x-7y)+7*(-6x+3y)=3*22+7*17# #15x-21y-42x+21y=66+119# #-27x=185#, so #x=185/(-27)=-185/27# #(-6)*(-185/27)+3y=17# #370/9+3y=17# #370+27y=153# #27y=-217#, thus #y=-217/27# 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 1584 views around the world You can reuse this answer Creative Commons License