| x | = | y | x^2 | = | xy (multiply both sides by x) |
| x^2 - y^2 | = | xy - y^2 (subtract y^2 from both sides) |
| (x + y)(x - y) | = | y(x - y) (factored) |
| x + y | = | y (divide both sides by (x - y)) |
| y + y | = | y (equation 1. says x = y) |
| 2y | = | y |
| 2 | = | 1 |
Why is this? (Highlight below for answer)
Because x = y, x - y = 0. Therefore, when we divide both sides of the equation by x - y, we are dividing by zero and math does what it's not supposed to b/c we did what we weren't supposed to.
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