How do solve the following linear system?: 3y = 15 -6x , 8x+2y=2 3y=15−6x,8x+2y=2? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Mahek ☮ · EZ as pi Mar 24, 2018 therefore color(red)(x=-2 and y=9 Explanation: 3y=15-6x y=(15-6x)/3 y=5-2x Put the value of y in eq(2) 8x+2y=2 8x + 2(5-2x)=2 8x +10-4x=2 8x-4x=2-10 4x=-8 color(magenta)(x=-2 Put x=-2 in eq1 3y=15-6x 3y= 15-6(-2) 3y = 15+12 3y= 27 y=27/3 color(magenta)(y=9 therefore color(red)(x=-2 and y=9 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 1645 views around the world You can reuse this answer Creative Commons License