Finite Math Examples

$y = 0.8 x + 5$

Step 1

Rewrite the equation as $0.8 x + 5 = y$ .

$0.8 x + 5 = y$

Step 2

Subtract $5$ from both sides of the equation.

$0.8 x = y - 5$

Step 3

Divide each term in $0.8 x = y - 5$ by $0.8$ and simplify.

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Step 3.1

Divide each term in $0.8 x = y - 5$ by $0.8$ .

$\frac{0.8 x}{0.8} = \frac{y}{0.8} + \frac{- 5}{0.8}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $0.8$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{0.8 x}{0.8} = \frac{y}{0.8} + \frac{- 5}{0.8}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{y}{0.8} + \frac{- 5}{0.8}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Multiply by $1$ .

$x = \frac{1 y}{0.8} + \frac{- 5}{0.8}$

Step 3.3.1.2

Factor $0.8$ out of $0.8$ .

$x = \frac{1 y}{0.8 (1)} + \frac{- 5}{0.8}$

Step 3.3.1.3

Separate fractions.

$x = \frac{1}{0.8} \cdot \frac{y}{1} + \frac{- 5}{0.8}$

Step 3.3.1.4

Divide $1$ by $0.8$ .

$x = 1.25 \frac{y}{1} + \frac{- 5}{0.8}$

Step 3.3.1.5

Divide $y$ by $1$ .

$x = 1.25 y + \frac{- 5}{0.8}$

Step 3.3.1.6

Divide $- 5$ by $0.8$ .

$x = 1.25 y - 6.25$