How do you solve the following system: #3x+2y =0, -5x − y = 14 #? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Play223 · Stefan V. Jun 4, 2018 #x=-4# #y=6# Explanation: #{(3x+2y=0), (-5x-y=14):}# Do #3x+2y=0# #2(-5x-y=14)# #3x+2y=0# #-10x-2y=28# Add the two equations #-7x=28# So #x=28/-7# #x=-4# Use #x = -4# in the first equation #3(-4)+2y=0# #-12+2y=0# #2y=12# #y=12/2=6# 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 1848 views around the world You can reuse this answer Creative Commons License