How do you solve the system #y=6x# and #2x+3y=-20# using substitution? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Dean R. Apr 25, 2018 #2x + 3(6x) = -20 # means # x = -1# and #y = 6x = -6#. Explanation: We can just plug #y=6x# into #2x + 3y=-20# and get #2x + 3(6x) = -20 # #20 x = -20# # x = -1# # y = 6x = -6 # Check: # -6 = 6 (-1) quad sqrt # #2 (-1) + 3(-6) = -20 quad sqrt # 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 5681 views around the world You can reuse this answer Creative Commons License