How do solve the following linear system?: 5x+2y=2, 4x+3y=29 ? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Cem Sentin Nov 29, 2017 x=-52/7 and y=137/7 Explanation: 5*(4x+3y)-4*(5x+2y)=5*29-4*2 7y=137, so y=137/7 Hence, 5x+2*137/7=2 5x=-260/7, so x=-52/7 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 1536 views around the world You can reuse this answer Creative Commons License