How do solve the following linear system?: # -9x+5y=1 , -3x+7y=-1 #? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Cem Sentin Apr 12, 2018 #x=y=-1/4# Explanation: #(-9x+5y)-3*(-3x+7y)=1-3*(-1)# #-9x+5y+9x-21y=1+3# #-16y=4#, so #y=4/(-16)=-1/4# Hence, #-9x+5*(-1/4)=1# #-9x-5/4=1# #-9x=9/4#, thus #y=(9/4)/(-9)=-1/4# 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 1189 views around the world You can reuse this answer Creative Commons License