How do you solve the system of equations 5x-y =5 and -x +3y=13 using substitution? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Özgür Özer Nov 30, 2015 x=2, y=5 Explanation: 5x-y=5 =>y=5x-5 =>-x+3(5x-5)=13 =>14x=28 =>x=2 =>y=5 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 3602 views around the world You can reuse this answer Creative Commons License