How do solve the following linear system?: # x + 3y = 9 , y= -2x + 1 #? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Sonnhard May 28, 2018 #x=-6/5,y=17/5# Explanation: Plugging #y=-2x+1# in the first equation we get #x+3(-2x+1)=9# so #x-6x+3=9# #-5x+3=9# #-5x=6# #x=-6/5# so #y=12/5+5/5=17/5# 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 1334 views around the world You can reuse this answer Creative Commons License