Pre-Algebra Examples

$5 x - 5 y \geq 70$

Step 1

Subtract $5 x$ from both sides of the inequality.

$- 5 y \geq 70 - 5 x$

Step 2

Divide each term in $- 5 y \geq 70 - 5 x$ by $- 5$ and simplify.

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Step 2.1

Divide each term in $- 5 y \geq 70 - 5 x$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 5 y}{- 5} \leq \frac{70}{- 5} + \frac{- 5 x}{- 5}$

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.

$\frac{- 5 y}{- 5} \leq \frac{70}{- 5} + \frac{- 5 x}{- 5}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y \leq \frac{70}{- 5} + \frac{- 5 x}{- 5}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Divide $70$ by $- 5$ .

$y \leq - 14 + \frac{- 5 x}{- 5}$

Step 2.3.1.2

Cancel the common factor of $- 5$ .

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Step 2.3.1.2.1

Cancel the common factor.

$y \leq - 14 + \frac{- 5 x}{- 5}$

Step 2.3.1.2.2

Divide $x$ by $1$ .

$y \leq - 14 + x$