Algebra Examples

$- 5 y = 5 x + 10$

Step 1

Divide each term in $- 5 y = 5 x + 10$ by $- 5$ and simplify.

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Step 1.1

Divide each term in $- 5 y = 5 x + 10$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{5 x}{- 5} + \frac{10}{- 5}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $- 5$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{5 x}{- 5} + \frac{10}{- 5}$

Step 1.2.1.2

Divide $y$ by $1$ .

$y = \frac{5 x}{- 5} + \frac{10}{- 5}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Simplify each term.

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Step 1.3.1.1

Cancel the common factor of $5$ and $- 5$ .

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Step 1.3.1.1.1

Factor $5$ out of $5 x$ .

$y = \frac{5 (x)}{- 5} + \frac{10}{- 5}$

Step 1.3.1.1.2

Move the negative one from the denominator of $\frac{x}{- 1}$ .

$y = - 1 \cdot x + \frac{10}{- 5}$

Step 1.3.1.2

Rewrite $- 1 \cdot x$ as $- x$ .

$y = - x + \frac{10}{- 5}$

Step 1.3.1.3

Divide $10$ by $- 5$ .

$y = - x - 2$

Step 2

When solving for $y$ , $y = - x - 2$ , so $y$ doesn't vary directly with $x$ .

$y$ doesn't vary directly with $x$