Finite Math Examples

$6 x - 7 y \leq 28$

Step 1

Subtract $6 x$ from both sides of the inequality.

$- 7 y \leq 28 - 6 x$

Step 2

Divide each term in $- 7 y \leq 28 - 6 x$ by $- 7$ and simplify.

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Step 2.1

Divide each term in $- 7 y \leq 28 - 6 x$ by $- 7$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 7 y}{- 7} \geq \frac{28}{- 7} + \frac{- 6 x}{- 7}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 7$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 7 y}{- 7} \geq \frac{28}{- 7} + \frac{- 6 x}{- 7}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y \geq \frac{28}{- 7} + \frac{- 6 x}{- 7}$

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 $28$ by $- 7$ .

$y \geq - 4 + \frac{- 6 x}{- 7}$

Step 2.3.1.2

Dividing two negative values results in a positive value.

$y \geq - 4 + \frac{6 x}{7}$