How do you solve the following system?: #y=-x + 12 , 7y=3x+1 # Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer VinÃcius Ferraz Nov 15, 2015 #(8.3, 3.7) in mathbb{Q times Q}# Explanation: #7(-x+12) = 3x + 1# #84 - 1 = 3x + 7x# #x = 8.3# #y = 12 - x = 12-8.3# 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 995 views around the world You can reuse this answer Creative Commons License