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. ยท 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 1557 views around the world You can reuse this answer Creative Commons License