Linear Algebra Examples

$3 x = \frac{16}{21}$

Step 1

Divide each term in $3 x = \frac{16}{21}$ by $3$ and simplify.

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Step 1.1

Divide each term in $3 x = \frac{16}{21}$ by $3$ .

$\frac{3 x}{3} = \frac{\frac{16}{21}}{3}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $3$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{\frac{16}{21}}{3}$

Step 1.2.1.2

Divide $x$ by $1$ .

$x = \frac{\frac{16}{21}}{3}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Multiply the numerator by the reciprocal of the denominator.

$x = \frac{16}{21} \cdot \frac{1}{3}$

Step 1.3.2

Multiply $\frac{16}{21} \cdot \frac{1}{3}$ .

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Step 1.3.2.1

Multiply $\frac{16}{21}$ by $\frac{1}{3}$ .

$x = \frac{16}{21 \cdot 3}$

Step 1.3.2.2

Multiply $21$ by $3$ .

$x = \frac{16}{63}$

Step 2

The domain is the set of all valid $x$ values.

${x | x = \frac{16}{63}}$

Step 3