Finite Math Examples

$42 x - 8 y = 80$

Step 1

Simplify.

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Step 1.1

Subtract $42 x$ from both sides of the equation.

$- 8 y = 80 - 42 x$

Step 1.2

Divide each term in $- 8 y = 80 - 42 x$ by $- 8$ and simplify.

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Step 1.2.1

Divide each term in $- 8 y = 80 - 42 x$ by $- 8$ .

$\frac{- 8 y}{- 8} = \frac{80}{- 8} + \frac{- 42 x}{- 8}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $- 8$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{- 8 y}{- 8} = \frac{80}{- 8} + \frac{- 42 x}{- 8}$

Step 1.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{80}{- 8} + \frac{- 42 x}{- 8}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Simplify each term.

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Step 1.2.3.1.1

Divide $80$ by $- 8$ .

$y = - 10 + \frac{- 42 x}{- 8}$

Step 1.2.3.1.2

Cancel the common factor of $- 42$ and $- 8$ .

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Step 1.2.3.1.2.1

Factor $- 2$ out of $- 42 x$ .

$y = - 10 + \frac{- 2 (21 x)}{- 8}$

Step 1.2.3.1.2.2

Cancel the common factors.

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Step 1.2.3.1.2.2.1

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

$y = - 10 + \frac{- 2 (21 x)}{- 2 (4)}$

Step 1.2.3.1.2.2.2

Cancel the common factor.

$y = - 10 + \frac{- 2 (21 x)}{- 2 \cdot 4}$

Step 1.2.3.1.2.2.3

Rewrite the expression.

$y = - 10 + \frac{21 x}{4}$

Step 2

Since $y = - 10 + \frac{21 x}{4}$ is not a rational expression, there are no asymptotes.

No Asymptotes

Step 3