How do you solve the following system: -5x + 3y= 6, 8x-3y=3 ? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer sushi ยท Stefan V. Apr 22, 2018 x = 3 y = 7 Explanation: Add the two equations together to cancel the 3y and -3y: " " -5x + 3y = 6 "+ " ( 8x - 3y = 3) -> -5x + 8x + 3y + (-3y) = 6 + 3 3x = 9 x = 3 Substitute x into one of the equations: 8x-3y = 3 8(3)-3y = 3 24 - 3y = 3 -3y = -21 y = 7 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 1663 views around the world You can reuse this answer Creative Commons License