How do you solve y= 3x+8 and y=5x-10? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer José Roberto Pereira Oct 17, 2015 x=9x=9 y=35y=35 Explanation: y=5x-10y=5x−10 (1) y=3x+8y=3x+8 (2) Subtracting (1) - (2): 0 = 2x-180=2x−18 2x=182x=18 x=18/2=9x=182=9 y=3xx9+8=35y=3×9+8=35 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-3y=−6x−3 and y=3y=3 using the substitution method? How do you solve 12y-3x=-112y−3x=−1 and x-4y=1x−4y=1 using the substitution method? Which method do you use to solve the system of equations y=1/4x-14y=14x−14 and y=19/8x+7y=198x+7? What are the 2 numbers if the sum is 70 and they differ by 11? How do you solve x+y=5x+y=5 and 3x+y=153x+y=15 using the substitution method? What is the point of intersection of the lines x+2y=4x+2y=4 and -x-3y=-7−x−3y=−7? See all questions in Systems Using Substitution Impact of this question 1427 views around the world You can reuse this answer Creative Commons License