Find the separate equation of the lines represented by the following equation:
$x^{2} = x$

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Solution

Equation (joint eqn.) $\Rightarrow x^{2} = x$
$\Rightarrow x^{2} - x = 0$
$∴ x (x - 1) = 0$
$(x - 0) (x - 1) = 0$
Separate equations are $: x = 0$ and $x - 1 = 0$

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