How do you solve the system −3x + y = 2 and 4x + 2y = 4? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Elvan Burcu K. May 29, 2015 -3x + y =3 => y = 3 +3x ; 4x + 2y = 4 => 4x + 2*(3+3x)= 4 => 4x+6+6x=4 => 10x +6 =4 => 10x =-2 => x=-2/10=-1/5 y=3+3x => y=3+3*(-1/5) => y= 3-3/5 => y= 15/5 - 3/5 y= 12/5 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 2332 views around the world You can reuse this answer Creative Commons License