SOLUTION: a/x + b/x = a/2 + b/3 x - y = -1 Solve the equation with substitution method?

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Question 875429: a/x + b/x = a/2 + b/3
x - y = -1
Solve the equation with substitution method?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
a%2Fx+%2B+b%2Fx+=+a%2F2+%2B+b%2F3

x - y = -1
x=y-1
a%2Fx+%2B+b%2Fx+=+a%2F2+%2B+b%2F3
%28a%2F%28y-1%29%29+%2B+%28b%2F%28y-1%29%29+=+%283a%2B2b%29%2F6

%28a%2Bb%29%2F%28y-1%29=%283a%2B2b%29%2F6

y=%28%286%28a%2Bb%29%29%2F%282a%2B3b%29%29%2B1

y=+%286a%2B6b%2B2a%2B3b%29%2F%282a%2B3b%29


y=+%288a%2B9b%29%2F%282a%2B3b%29



x=y-1
x=+%28%288a%2B9b%29%2F%282a%2B3b%29%29-1

x=%288a%2B9b-2a-3b%29%2F%282a%2B3b%29

x=%286%28a-b%29%29%2F%282a%2B3b%29