How do you solve the following system: #2x + y = 8 , 3x -2y=24 #? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer sankarankalyanam May 9, 2018 #color(maroon)(x = 40/7, y = -24/7# Explanation: #2x + y = 8, " Eqn (1)"# #3x - 2y = 24, " Eqn (2)"# #4x+ 2y = 16, " Eqn(1) * 2"# #"Adding Eqn(1) * 3 + Eqn(2)"# #7x = 40# #color(maroon)(x = 40/7# Substituting value of x in Eqn (1), #(2*40)/7 + y = 8# #color(maroon)(y = 8 - 80/7 = -24/7# 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 3319 views around the world You can reuse this answer Creative Commons License