How do you solve the following system: #-5x + 3y= 6, 4x+3y=36 #? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Binayaka C. Mar 30, 2016 #x=10/3 and y=68/9# Explanation: #-5x+3y=6 # (1) #4x +3y= 36 # (2) Now subtracting (2) from(1) we get #-9x=-30 or x=30/9=10/3#Putting the value of x in equation (1) we get #3y = 6+5*10/3 or y =68/9#[ans] 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 1002 views around the world You can reuse this answer Creative Commons License