How do you solve the following linear system: y = 4x - 13 , y = 1/2x - 3/2 ? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer VinÃcius Ferraz Nov 14, 2015 (23/7, 1/7) in mathbb{Q times Q} Explanation: y = 4x - 13 = 1/2 x - 3/2 // times two 2y = 8x- 26 = x - 3 8x -x = -3 + 26 x = 23/7 y = 4 cdot 23/7 - 13 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 1161 views around the world You can reuse this answer Creative Commons License