How do you solve 2x+y=7 and x+2y=2? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Cem Sentin Jun 2, 2018 x=4 and y=-1 Explanation: 2*(2x+y)-(x+2y)=2*7-2 4x+2y-x-2y=14-2 3x=12, so x=4 Thus, 4+2y=2 2y=-2, so y=-1 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 5000 views around the world You can reuse this answer Creative Commons License