Precalculus Examples

$1.7 t - 2.95 v = 5$

Step 1

Add $2.95 v$ to both sides of the equation.

$1.7 t = 5 + 2.95 v$

Step 2

Divide each term in $1.7 t = 5 + 2.95 v$ by $1.7$ and simplify.

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Step 2.1

Divide each term in $1.7 t = 5 + 2.95 v$ by $1.7$ .

$\frac{1.7 t}{1.7} = \frac{5}{1.7} + \frac{2.95 v}{1.7}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $1.7$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{1.7 t}{1.7} = \frac{5}{1.7} + \frac{2.95 v}{1.7}$

Step 2.2.1.2

Divide $t$ by $1$ .

$t = \frac{5}{1.7} + \frac{2.95 v}{1.7}$

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 $5$ by $1.7$ .

$t = 2.94117647 + \frac{2.95 v}{1.7}$

Step 2.3.1.2

Factor $2.95$ out of $2.95 v$ .

$t = 2.94117647 + \frac{2.95 (v)}{1.7}$

Step 2.3.1.3

Factor $1.7$ out of $1.7$ .

$t = 2.94117647 + \frac{2.95 (v)}{1.7 (1)}$

Step 2.3.1.4

Separate fractions.

$t = 2.94117647 + \frac{2.95}{1.7} \cdot \frac{v}{1}$

Step 2.3.1.5

Divide $2.95$ by $1.7$ .

$t = 2.94117647 + 1.73529411 \frac{v}{1}$

Step 2.3.1.6

Divide $v$ by $1$ .

$t = 2.94117647 + 1.73529411 v$