How do you solve #5x = y + 6# and #2x - 3y = 4# using substitution? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Binayaka C. Apr 16, 2016 #x=14/13 ; y=-8/13# Explanation: #y=5x-6# Substituting y in equation #2x-3y=4# we get #2x-3(5x-6)=4 or 2x-15x+18=4 or -13x=-14 or x= 14/13 :. y = 5*14/13-6 or y= -8/13#[Ans] 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 2633 views around the world You can reuse this answer Creative Commons License