Question

Solve the following equations for the unknown variables -1/x = -7/2 + 2/x
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Answer 1

Answer:

x=6/7

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Answer 2

Answer:

$\frac{ - 1}{x} = \frac{ - 7}{2} + \frac{2}{x}$

$\frac{ - 1}{x} = \frac{ - 7x + 4}{2x}$

$- 2x = x( - 7x + 4)$

$- 2x = - {7x}^{2} + 4x$

$7 {x}^{2} - 6x = 0$

$x(7x - 6) = 0$

(7x - 6) = 0

$x = \frac{6}{7}$