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=−65,y=175 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=−65 so y=125+55=175 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=14x−14 and y=198x+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 1476 views around the world You can reuse this answer Creative Commons License