How do you solve the following system?: # 7y=4- 2x , 3x + y = -1 # Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer VinÃcius Ferraz Nov 13, 2015 #(-11/19, 14/19) in mathbb{Q times Q}# Explanation: #y = -1 - 3x# #7(-1-3x) = 4 - 2x# #-7 - 4 = - 2x + 21x# #-frac{11}{19} = x# #y = -1 -3(-11/19) = frac{-19+33}{19}# 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 908 views around the world You can reuse this answer Creative Commons License