How do you solve the following system: #2x+3y=22, 5x-2y=-26 #? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer VinÃcius Ferraz Jul 3, 2017 #(x,y) in { (-34/19, 162/19) }# Explanation: #4x + 6y = 44 and 15x - 6y = -78# Sum: #19x = 44 - 78 => x = -34/19# #-5*34/19 + 26 = 2y => y = -85/19+13 = 162/19# 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 1397 views around the world You can reuse this answer Creative Commons License