Finite Math Examples

$0.0001 x + 0.0002 y = 8000$

Step 1

Subtract $0.0001 x$ from both sides of the equation.

$0.0002 y = 8000 - 0.0001 x$

Step 2

Divide each term in $0.0002 y = 8000 - 0.0001 x$ by $0.0002$ and simplify.

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Step 2.1

Divide each term in $0.0002 y = 8000 - 0.0001 x$ by $0.0002$ .

$\frac{0.0002 y}{0.0002} = \frac{8000}{0.0002} + \frac{- 0.0001 x}{0.0002}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $0.0002$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{0.0002 y}{0.0002} = \frac{8000}{0.0002} + \frac{- 0.0001 x}{0.0002}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{8000}{0.0002} + \frac{- 0.0001 x}{0.0002}$

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 $8000$ by $0.0002$ .

$y = 40000000 + \frac{- 0.0001 x}{0.0002}$

Step 2.3.1.2

Move the negative in front of the fraction.

$y = 40000000 - \frac{0.0001 x}{0.0002}$

Step 2.3.1.3

Factor $0.0001$ out of $0.0001 x$ .

$y = 40000000 - \frac{0.0001 (x)}{0.0002}$

Step 2.3.1.4

Factor $0.0002$ out of $0.0002$ .

$y = 40000000 - \frac{0.0001 (x)}{0.0002 (1)}$

Step 2.3.1.5

Separate fractions.

$y = 40000000 - (\frac{0.0001}{0.0002} \cdot \frac{x}{1})$

Step 2.3.1.6

Divide $0.0001$ by $0.0002$ .

$y = 40000000 - (0.5 \frac{x}{1})$

Step 2.3.1.7

Cancel the common factor of $0.5$ .

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Step 2.3.1.7.1

Factor $0.5$ out of $1$ .

$y = 40000000 - (0.5 \frac{x}{0.5 \cdot 2})$

Step 2.3.1.7.2

Cancel the common factor.

$y = 40000000 - (0.5 \frac{x}{0.5 \cdot 2})$

Step 2.3.1.7.3

Rewrite the expression.

$y = 40000000 - \frac{x}{2}$