Finite Math Examples

$8 x + 10 y < 80$

Step 1

Subtract $8 x$ from both sides of the inequality.

$10 y < 80 - 8 x$

Step 2

Divide each term in $10 y < 80 - 8 x$ by $10$ and simplify.

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Step 2.1

Divide each term in $10 y < 80 - 8 x$ by $10$ .

$\frac{10 y}{10} < \frac{80}{10} + \frac{- 8 x}{10}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $10$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{10 y}{10} < \frac{80}{10} + \frac{- 8 x}{10}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y < \frac{80}{10} + \frac{- 8 x}{10}$

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 $80$ by $10$ .

$y < 8 + \frac{- 8 x}{10}$

Step 2.3.1.2

Cancel the common factor of $- 8$ and $10$ .

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Step 2.3.1.2.1

Factor $2$ out of $- 8 x$ .

$y < 8 + \frac{2 (- 4 x)}{10}$

Step 2.3.1.2.2

Cancel the common factors.

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Step 2.3.1.2.2.1

Factor $2$ out of $10$ .

$y < 8 + \frac{2 (- 4 x)}{2 (5)}$

Step 2.3.1.2.2.2

Cancel the common factor.

$y < 8 + \frac{2 (- 4 x)}{2 \cdot 5}$

Step 2.3.1.2.2.3

Rewrite the expression.

$y < 8 + \frac{- 4 x}{5}$

Step 2.3.1.3

Move the negative in front of the fraction.

$y < 8 - \frac{4 x}{5}$