How do you solve y=x+5 and y=-2x+8? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Don't Memorise Oct 6, 2015 The solution is #color(blue)(x=1,y=6# Explanation: # y=color(blue)(x+5#..........equation #1# #y=-2x+8#.......equation #2# Substituting equation #1# in equation #2# #y=-2x+8# #color(blue)(x+5) = -2x+8# #3x=8-5# #3x=3# #color(blue)(x=1# Finding #y# by substituting #x# in equation #1# # y=x+5# # y=1+5# #color(blue)(y=6# 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 1897 views around the world You can reuse this answer Creative Commons License