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 3523 views around the world You can reuse this answer Creative Commons License