How do solve the following linear system?: 5x - 3y = -29 , x - 3y = -6 ? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Jennifer C. Dec 8, 2015 (-2, 1/12) Explanation: x-3y=-6 x=3y-6 plug in x for 5x-3y=-29 5(3y-6)-3y=-29 15y-30-3y=-29 12y=1 y=1/12 plug in y in x=3y-6 to find x x=3(1/12)-6 x=4-6 x=-2 (-2, 1/12) 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 1794 views around the world You can reuse this answer Creative Commons License