How do you solve by substitution # x + y = 10# and #y = x + 8#? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Mahek ☮ Mar 8, 2018 #color(magenta)(therefore x=1 and y=9# Explanation: #y=x+8# Given that, #x+y=10# #x+x+8=10# #2x+10=8# #2x=10-8# #2x=2# #x=2/2# #color(red)(x=1# #y=x+8# #y=1+8# #color(red)(y=9# #color(magenta)(therefore x=1 and y=9# ~Hope this helps! :) 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 4393 views around the world You can reuse this answer Creative Commons License