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# Fractions within Fractions

Pro Problems > Math > Algebra > Equations > Systems of Equations

## Fractions within Fractions

Find all ordered pairs (x,y) such that:

1 +
2
x
+
1
x2
-
4
y2
1 +
1
x
+
2
y
= 1

1 +
2
x
+
1
x2
-
4
y2
1 +
1
x
-
2
y
= 2

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Problem by BogusBoy

## Solution

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