How do you solve the following system?: 2x+7y=−8,−x−8y=32 Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Shwetank Mauria Apr 25, 2016 x=1609 and y=−569. Explanation: The equations are 2x+7y=−8 --(A) and −x−8y=32 -- (B) Now multiplying (B) by 2 and adding to (A) cancels out x, and we get 7y−16y=−8+64 or −9y=56 or y=−569. Now putting this in (B), we get −x−8×−569=32 or −x+4489=32 or −x=32−4489=2889−4489=−1609 or x=1609 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=14x−14 and y=198x+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 1346 views around the world You can reuse this answer Creative Commons License