How do you solve x + y = 4 and x – y = 6? Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer achyut · Stefan V. May 1, 2018 x=5 and y = -1 Explanation: We have, x+y=4 or x=4-y" "(1) Now, we have x-y=6 or (4-y)-y=6" "[from (1)] or 4-2y=6 -2y=6-4 -2y=2 y= -1# So x+y=4 or x-1=4 x=4+1 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 22529 views around the world You can reuse this answer Creative Commons License