How do you solve the following system?: #5x-7y=22 , 4x-3y=15 # Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Cem Sentin Nov 26, 2017 #x=3# and #y=-1# Explanation: #7*(4x-3y)-3*(5x-7y)=15*7-3*22# #(28x-21y)-(15x-21y)=105-66# #13x=39#, so #x=3# #5*3-7y=22# #15-7y=22# #-7y=7#, so #y=-1# 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 1633 views around the world You can reuse this answer Creative Commons License