How do you solve the following system: y = 3x – 12, 2x – 4y = 8? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Özgür Özer Dec 30, 2015 x=4, y=0 Explanation: color(white)xxy=3x-12,2x-4y=8 color(white)xx2x-4y=8<=>y=(x-4)/2 =>color(red)(3x-12)=(x-4)/2 =>color(blue)(x-4)=(x-4)/2 =>x-4=0 =>x-4color(green)(+4)=0color(green)(+4) =>x=4 =>y=(color(red)4-4)/2 =>y=0 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 1434 views around the world You can reuse this answer Creative Commons License