How do you solve the following system: #-5x − y = 14 , y + 4x = 16 #? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer megs_mac · Stefan V. Apr 17, 2018 #x=-30, y=136# Explanation: You have to substitute the #y# in one equation for the one in the other equation: #-5x-y=14# #y+4x=16 =>y=-4x+16# So #-5x-(-4x+16)=14# #-1x-16=14# #-1x=30# #x=-30# Now you can plug in the #x# you found to either equation to find the #y#. #-5(-30)-y=14# #150-y=14# #y=136# 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 1295 views around the world You can reuse this answer Creative Commons License