How do solve the following linear system?: # -9x + 6y = -2 , 4x-2y=-2 #? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Eswer S. · Alan P. Dec 7, 2015 #x=-8/3 and y=-13/3# Explanation: #-9x+6y=-2# (Consider this as equation 1) #4x-2y=-2# (Consider this as equation 2) #x=(2+6y)/9# (From equation 1) Substitute this in equation 2 #4((2+6y)/9)-2y=-2# #8+24y-18y=-18# #8+6y=-18# #6y=-26# #y=-26/6=-13/3# Substitute this in equation 1 #-9x+6(-26/6)=-2# #-9x-26=-2# #x=-24/9=-8/3# 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 1497 views around the world You can reuse this answer Creative Commons License