SOLUTION: x+y=a-b , ax-by=a2-b2

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Question 977064: x+y=a-b , ax-by=a2-b2

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%2By=a-b
ax%2Bay=a%5E2-ab
ax=a%5E2-ab-ay
Substitute into eq. 2,
a%5E2-ab-ay-by=a%5E2-b%5E2
-ay-by=-b%5E2%2Bab
%28a%2Bb%29y=b%5E2-ab
y=%28b%5E2-ab%29%2F%28a%2Bb%29%29
So then,
x%2B%28b%5E2-ab%29%2F%28a%2Bb%29%29=a-b
x=%28%28a-b%29%28a%2Bb%29%29%2F%28a%2Bb%29-%28b%5E2-ab%29%2F%28a%2Bb%29
x=%28a%5E2-b%5E2-b%5E2%2Bab%29%2F%28a%2Bb%29
x=%28a%5E2%2Bab-2b%5E2%29%2F%28a%2Bb%29