# How do you solve -\frac { 6} { x } = - 9?

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1
Feb 15, 2017

$\frac{2}{3}$

#### Explanation:

$- \frac{6}{x} = - 9$

$\therefore - \frac{6}{x} = - \frac{9}{1}$

cross multiply

$\therefore - 9 x = - 6$

multiply both sides by$- 1$

$- 1 \times - 9 x = - 6 \times - 1$

$\therefore 9 x = 6$

$\therefore x = {\cancel{6}}^{2} / {\cancel{9}}^{3}$

$\therefore x = \frac{2}{3}$

Then teach the underlying concepts
Don't copy without citing sources
preview
?

#### Explanation

Explain in detail...

#### Explanation:

I want someone to double check my answer

1
Feb 11, 2017

$x = \frac{2}{3}$

#### Explanation:

To solve for the variable $x$ in the equation $- \frac{6}{x} = - 9$

Begin by multiplying by $x$ on both sides
$\cancel{x} \left(- \frac{6}{\cancel{x}}\right) = \left(- 9\right) x$

$- 6 = - 9 x$

Now divide by $- 9$ on both sides to isolate the variable.

$\frac{\cancel{-} 6}{\cancel{-} 9} = \frac{\cancel{- 9} x}{\cancel{- 9}}$

$\frac{6}{9} = x$

Now reduce for the solution.

$\frac{2}{3} = x$

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