How do you solve the following linear system: #2x - 3y = 4 , 3x + y + 2 = 0#? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer VinÃcius Ferraz Nov 15, 2015 #(-2/11, -16/11) in mathbb{Q times Q}# Explanation: #y = -3x -2# #2x -3(-3x - 2) = 4# #2x + 9x = 4 - 6# #x = -2/11# #y = -3(-2/11)-2 = (6-22)/11# 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 1546 views around the world You can reuse this answer Creative Commons License