How do you solve the following system: -5x + 3y= 6, 4x+3y=36 −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=68/9x=103andy=689 Explanation: -5x+3y=6 −5x+3y=6 (1) 4x +3y= 36 4x+3y=36 (2) Now subtracting (2) from(1) we get -9x=-30 or x=30/9=10/3−9x=−30orx=309=103Putting the value of x in equation (1) we get 3y = 6+5*10/3 or y =68/93y=6+5⋅103ory=689[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-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 1106 views around the world You can reuse this answer Creative Commons License