How do you solve the following system: #x +4y = 16, 2x – 4y = 8#? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Aliya M. · Mahek ☮ Apr 21, 2018 #x=-24# #y=10# Explanation: #x+4y=16# #2x-4y=8# Subtract the bottom equation from the top one so the #+4y# and #-4y# cancel each other out. #-x=24# #x=-24# #x+4y=16# #-24+4y=16# #4y=40# #y=10# 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 3350 views around the world You can reuse this answer Creative Commons License