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 1483 views around the world You can reuse this answer Creative Commons License