What is the solution to the system of linear equations 2x+y=-9, -2x-3y=11? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Dean R. Apr 24, 2018 (x,y) = (-4, -1) Explanation: 2x+y=-9 -2x-3y=11 Adding, -2y = 2 y=-1 x = 1/2 (-9 -y) = 1/2(-9 - -1) = -4 (x,y) = (-4, -1) Check: 2(-4) + -1 = -9 quad sqrt -2 (-4) -3 (-1) = 8 + 3= 11 quad sqrt 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 4110 views around the world You can reuse this answer Creative Commons License