Finite Math Examples

$r = 23.4 t + 210$

Step 1

Rewrite the equation as $23.4 t + 210 = r$ .

$23.4 t + 210 = r$

Step 2

Subtract $210$ from both sides of the equation.

$23.4 t = r - 210$

Step 3

Divide each term in $23.4 t = r - 210$ by $23.4$ and simplify.

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Step 3.1

Divide each term in $23.4 t = r - 210$ by $23.4$ .

$\frac{23.4 t}{23.4} = \frac{r}{23.4} + \frac{- 210}{23.4}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $23.4$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{23.4 t}{23.4} = \frac{r}{23.4} + \frac{- 210}{23.4}$

Step 3.2.1.2

Divide $t$ by $1$ .

$t = \frac{r}{23.4} + \frac{- 210}{23.4}$

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 $1$ .

$t = \frac{1 r}{23.4} + \frac{- 210}{23.4}$

Step 3.3.1.2

Factor $23.4$ out of $23.4$ .

$t = \frac{1 r}{23.4 (1)} + \frac{- 210}{23.4}$

Step 3.3.1.3

Separate fractions.

$t = \frac{1}{23.4} \cdot \frac{r}{1} + \frac{- 210}{23.4}$

Step 3.3.1.4

Divide $1$ by $23.4$ .

$t = 0.\overline{042735} \frac{r}{1} + \frac{- 210}{23.4}$

Step 3.3.1.5

Divide $r$ by $1$ .

$t = 0.\overline{042735} r + \frac{- 210}{23.4}$

Step 3.3.1.6

Divide $- 210$ by $23.4$ .

$t = 0.\overline{042735} r - 8.\overline{974358}$