How do you solve the following linear system: #y - 2x = -6 , 7x - y = 3 #? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer jk.13 Mar 17, 2018 #(x,y) = (-9/5, -48/5)# Explanation: #y=2x-6# solve for y in terms of x #7x-(2x-6)=3# plug in above equation to y #7x-2x+12=3# distribute #5x=-9# isolate #x=-9/5# solve #y-2(-9/5)=-6# plug back into original equation #y+18/5=-6# multiply #y=-48/5# isolate #(x,y) = (-9/5, -48/5)# 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 1243 views around the world You can reuse this answer Creative Commons License