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 1768 views around the world You can reuse this answer Creative Commons License