How do you solve the following system: # 8x - y = 13 , 5x+y=-7 #? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Binayaka C. Apr 29, 2018 Solution: # x=6/13, y = -9 4/13# Explanation: #8 x- y = 13 (1) ; 5 x+ y = -7 (2)# Adding equations (1) and (2) we get #13 x = 6 :. x = 6/13# Putting # x= 6/13# in equation (1) we get , # 8*6/13- y = 13 or y= 48/13-13 or y = (48-169)/13# or #y= -121/13 = -9 4/13# Solution: # x=6/13, y = -9 4/13# [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-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 1134 views around the world You can reuse this answer Creative Commons License