What are x and y if #2y+x= - 4# and #y-x= - 5#? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer De Rono Oct 27, 2015 #x=2,y=-3# Explanation: Note that #y-x=-5# #implies y =x-5# Put value of #y# in #2y+x=-4# #2(x-5)+x = -4# #implies 2x-10+x=-4# #implies 3x=6# #implies x=2# So #y = 2-5 =-3# 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 2127 views around the world You can reuse this answer Creative Commons License