How do you solve the following system: 2x+3y=22, 5x-2y=-26 2x+3y=22,5x−2y=−26? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Vinícius Ferraz Jul 3, 2017 (x,y) in { (-34/19, 162/19) }(x,y)∈{(−3419,16219)} Explanation: 4x + 6y = 44 and 15x - 6y = -784x+6y=44and15x−6y=−78 Sum: 19x = 44 - 78 => x = -34/1919x=44−78⇒x=−3419 -5*34/19 + 26 = 2y => y = -85/19+13 = 162/19−5⋅3419+26=2y⇒y=−8519+13=16219 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-3y=−6x−3 and y=3y=3 using the substitution method? How do you solve 12y-3x=-112y−3x=−1 and x-4y=1x−4y=1 using the substitution method? Which method do you use to solve the system of equations y=1/4x-14y=14x−14 and y=19/8x+7y=198x+7? What are the 2 numbers if the sum is 70 and they differ by 11? How do you solve x+y=5x+y=5 and 3x+y=153x+y=15 using the substitution method? What is the point of intersection of the lines x+2y=4x+2y=4 and -x-3y=-7−x−3y=−7? See all questions in Systems Using Substitution Impact of this question 1522 views around the world You can reuse this answer Creative Commons License