How do you solve the system of equations y= 3x + 12 and 2x - 2y = - 4? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer xPrrox ยท Stefan V. Jun 20, 2018 Substitution. Explanation: y=3x+12 " " " "(1) 2x-2y =-4 -2y=-4-2x So y=(-4-2x)/-2 y= 2+x" " " "(2) Sub (2) into (1) 3x+ 12= 2 +x 2x=-10 x=-5 Sub x=-5 into (1) (I would normally sub it into a given equation as I may have done a mistake in my new equation) y= 3(-5)+12 y=-3 Therefore, y= -3 and x= -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 3465 views around the world You can reuse this answer Creative Commons License