Question #2128f Algebra Systems of Equations and Inequalities Systems Using Substitution 1 Answer Roella W. Feb 24, 2016 #x=2# Explanation: #x^2 + y^2 = 8# #x-y =4# #:.y = x-4# substituting this back into the first equation gives #x^2 + (x-4)^2 = 8# #x^2 +x^2 - 8x +16 = 8# #2x^2 - 8x +8 =0# #x^2 -4x +4 = 0# #(x-2)^2 = 0# #:.x=2# 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 1211 views around the world You can reuse this answer Creative Commons License