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=−83andy=−133 Explanation: −9x+6y=−2 (Consider this as equation 1) 4x−2y=−2 (Consider this as equation 2) x=2+6y9 (From equation 1) Substitute this in equation 2 4(2+6y9)−2y=−2 8+24y−18y=−18 8+6y=−18 6y=−26 y=−266=−133 Substitute this in equation 1 −9x+6(−266)=−2 −9x−26=−2 x=−249=−83 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=14x−14 and y=198x+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 1699 views around the world You can reuse this answer Creative Commons License