Linear Algebra Examples

$\frac{x}{3} = \frac{6}{9}$

Step 1

Multiply both sides of the equation by $3$ .

$3 \frac{x}{3} = 3 (\frac{6}{9})$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $3$ .

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Step 2.1.1.1

Cancel the common factor.

$3 \frac{x}{3} = 3 (\frac{6}{9})$

Step 2.1.1.2

Rewrite the expression.

$x = 3 (\frac{6}{9})$

$x = 3 (\frac{6}{9})$

$x = 3 (\frac{6}{9})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $3 (\frac{6}{9})$ .

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Step 2.2.1.1

Cancel the common factor of $3$ .

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Step 2.2.1.1.1

Factor $3$ out of $9$ .

$x = 3 \frac{6}{3 (3)}$

Step 2.2.1.1.2

Cancel the common factor.

$x = 3 \frac{6}{3 \cdot 3}$

Step 2.2.1.1.3

Rewrite the expression.

$x = \frac{6}{3}$

$x = \frac{6}{3}$

Step 2.2.1.2

Divide $6$ by $3$ .

$x = 2$

$x = 2$

$x = 2$

$x = 2$

Step 3

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

${x | x = 2}$

Step 4

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$