Finite Math Examples

$7 x = - 5 y$

Step 1

Rewrite the equation as $- 5 y = 7 x$ .

$- 5 y = 7 x$

Step 2

Divide each term in $- 5 y = 7 x$ by $- 5$ and simplify.

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Step 2.1

Divide each term in $- 5 y = 7 x$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{7 x}{- 5}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 5$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{7 x}{- 5}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{7 x}{- 5}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Move the negative in front of the fraction.

$y = - \frac{7 x}{5}$