How do you solve the following linear system: #y = 4x - 13 , y = 1/2x - 3/2 #? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer VinÃcius Ferraz Nov 14, 2015 #(23/7, 1/7) in mathbb{Q times Q}# Explanation: #y = 4x - 13 = 1/2 x - 3/2# // times two #2y = 8x- 26 = x - 3# #8x -x = -3 + 26# #x = 23/7# #y = 4 cdot 23/7 - 13# 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 1056 views around the world You can reuse this answer Creative Commons License