Finite Math Examples

$0.9 x - 0.2 y = - 0.08$

Step 1

Add $0.2 y$ to both sides of the equation.

$0.9 x = - 0.08 + 0.2 y$

Step 2

Divide each term in $0.9 x = - 0.08 + 0.2 y$ by $0.9$ and simplify.

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Step 2.1

Divide each term in $0.9 x = - 0.08 + 0.2 y$ by $0.9$ .

$\frac{0.9 x}{0.9} = \frac{- 0.08}{0.9} + \frac{0.2 y}{0.9}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $0.9$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{0.9 x}{0.9} = \frac{- 0.08}{0.9} + \frac{0.2 y}{0.9}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 0.08}{0.9} + \frac{0.2 y}{0.9}$

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 $- 0.08$ by $0.9$ .

$x = - 0.0\overline{8} + \frac{0.2 y}{0.9}$

Step 2.3.1.2

Factor $0.2$ out of $0.2 y$ .

$x = - 0.0\overline{8} + \frac{0.2 (y)}{0.9}$

Step 2.3.1.3

Factor $0.9$ out of $0.9$ .

$x = - 0.0\overline{8} + \frac{0.2 (y)}{0.9 (1)}$

Step 2.3.1.4

Separate fractions.

$x = - 0.0\overline{8} + \frac{0.2}{0.9} \cdot \frac{y}{1}$

Step 2.3.1.5

Divide $0.2$ by $0.9$ .

$x = - 0.0\overline{8} + 0.\overline{2} \frac{y}{1}$

Step 2.3.1.6

Divide $y$ by $1$ .

$x = - 0.0\overline{8} + 0.\overline{2} y$