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 1289 views around the world You can reuse this answer Creative Commons License