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Line 2: | Line 2: | ||
x = y. | x = y. | ||
Then x2 = xy. | |||
Subtract the same thing from both sides: | Then x2 = xy. | ||
Subtract the same thing from both sides: | |||
x2 – y2 = xy – y2. | x2 – y2 = xy – y2. | ||
Dividing by (x-y), obtain | Dividing by (x-y), obtain | ||
x + y = y. | x + y = y. | ||
Since x = y, we see that | Since x = y, we see that | ||
2 y = y. | 2 y = y. | ||
Thus 2 = 1, since we started with y nonzero. | Thus 2 = 1, since we started with y nonzero. | ||
Subtracting 1 from both sides, | Subtracting 1 from both sides, | ||
1 = 0. | 1 = 0. | ||
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