How do you solve the following system?: 5x-7y=22 , 4x-3y=15 5x−7y=22,4x−3y=15 Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Cem Sentin Nov 26, 2017 x=3x=3 and y=-1y=−1 Explanation: 7*(4x-3y)-3*(5x-7y)=15*7-3*227⋅(4x−3y)−3⋅(5x−7y)=15⋅7−3⋅22 (28x-21y)-(15x-21y)=105-66(28x−21y)−(15x−21y)=105−66 13x=3913x=39, so x=3x=3 5*3-7y=225⋅3−7y=22 15-7y=2215−7y=22 -7y=7−7y=7, so y=-1y=−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-3y=−6x−3 and y=3y=3 using the substitution method? How do you solve 12y-3x=-112y−3x=−1 and x-4y=1x−4y=1 using the substitution method? Which method do you use to solve the system of equations y=1/4x-14y=14x−14 and y=19/8x+7y=198x+7? What are the 2 numbers if the sum is 70 and they differ by 11? How do you solve x+y=5x+y=5 and 3x+y=153x+y=15 using the substitution method? What is the point of intersection of the lines x+2y=4x+2y=4 and -x-3y=-7−x−3y=−7? See all questions in Systems Using Substitution Impact of this question 1765 views around the world You can reuse this answer Creative Commons License