How do you solve the following system: x-5y=-9, -x+y=5? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer SagarStudy Jan 4, 2016 x-5y=-9.............(i) -x+y=5............(ii) Add (i) and (ii) implies -4y=-4 implies y=1 Put y=1 in (i) implies x-5(1)=-9 implies x=-9+5=-4 implies x=-4 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 959 views around the world You can reuse this answer Creative Commons License