How do you solve #5m+n=43# and #m-2n=13# using substitution? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Carl S. Apr 3, 2018 #m = 9# #n=-2# Explanation: #5m + n = 43 => n = 43-5m # #m-2(43-5m )=13# #m-86+10m =13# #11m-86=13# #11m=99# #m=99/11=9# #n = 43-5m# #n = 43-5 times 9 =-2# Double check: #5 times 9 + (- 2) = 43# #9-2times(-2)=9+4 = 13# 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 1473 views around the world You can reuse this answer Creative Commons License