How do you solve #y=5-x# and #1=4x+3x# using substitution? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Barney V. Jan 25, 2017 #y=4 6/7, x= 1/7# Explanation: #y=5-x,1=4x+3x# #:.y=5-x#------(1) #:.7x=1# #x= 1/7# substitute #x= 1/7# in-----(1) #:.y=5-(1/7)# #:.y=35/7-1/7# #:.y=34/7# #:.y=4 6/7# check: substitute #y= 34/7, x=1/7 # in--------(1) #:.34/7=35/7-1/7# #:.34/7=34/7# 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 918 views around the world You can reuse this answer Creative Commons License