How do you solve by substitution # x - 5y=10# and #-2x+y=7#? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Alberto M. Jun 13, 2015 #y=-3, x=-5# Explanation: by substitution #x=10+5y => -2(10+5y)+y=7 => -9y=27 => y=-3# So #x+5*3=10 => x=-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 2827 views around the world You can reuse this answer Creative Commons License