How do you solve the following system?: 7x +y =-2 , -7x +y = -9 Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer SagarStudy Jan 22, 2016 7x+y=-2....................(i) -7x+y=-9........................(ii) Add (i) and (ii) implies 2y=-11 implies y=-11/2 Put y=-11/2 in (i) implies 7x-11/2=-2 multiply both sides by 2 implies14x-11=-4 implies 14x=7 implies x=1/2 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 1329 views around the world You can reuse this answer Creative Commons License