How do you solve #y=x-4# and #4x+y=26# using substitution? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Rachel Mar 16, 2016 #x=6# Explanation: #y=x-4# #26=4x+y# If #y=y#, then we can rewrite this system as this: #4x+x-4=26#. Then we combine like terms and add #4# on both sides to give us #5x=30#. Divide by #5# on both sides and we arrive at the solution: #x=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 3626 views around the world You can reuse this answer Creative Commons License