How do you solve the following system: # 7x - y = 10 , 5x-9y=-23 #? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Sihan Tawsik Feb 27, 2016 here is how, Explanation: #7x-y=10. . . . . . . . . . . . . . . . . . .(i)# #5x-9y=-23. . . . . . . . . . . . . . . (ii)# #5xx(i)-7xx(ii)=># #cancel(35x)-5y=50# #cancel(35x)-63y=-161# #->58y=211# #->y=211/58# #x=113/58# 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 1356 views around the world You can reuse this answer Creative Commons License