Pre-Algebra Examples

$y = \frac{2}{3} x$

Step 1

Rewrite the equation as $\frac{2}{3} x = y$ .

$\frac{2}{3} x = y$

Step 2

Multiply both sides of the equation by $\frac{3}{2}$ .

$\frac{3}{2} (\frac{2}{3} x) = \frac{3}{2} y$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $\frac{3}{2} (\frac{2}{3} x)$ .

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Step 3.1.1.1

Combine $\frac{2}{3}$ and $x$ .

$\frac{3}{2} \cdot \frac{2 x}{3} = \frac{3}{2} y$

Step 3.1.1.2

Cancel the common factor of $3$ .

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Step 3.1.1.2.1

Cancel the common factor.

$\frac{3}{2} \cdot \frac{2 x}{3} = \frac{3}{2} y$

Step 3.1.1.2.2

Rewrite the expression.

$\frac{1}{2} (2 x) = \frac{3}{2} y$

$\frac{1}{2} (2 x) = \frac{3}{2} y$

Step 3.1.1.3

Cancel the common factor of $2$ .

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Step 3.1.1.3.1

Factor $2$ out of $2 x$ .

$\frac{1}{2} (2 (x)) = \frac{3}{2} y$

Step 3.1.1.3.2

Cancel the common factor.

$\frac{1}{2} (2 x) = \frac{3}{2} y$

Step 3.1.1.3.3

Rewrite the expression.

$x = \frac{3}{2} y$

$x = \frac{3}{2} y$

$x = \frac{3}{2} y$

$x = \frac{3}{2} y$

Step 3.2

Simplify the right side.

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Step 3.2.1

Combine $\frac{3}{2}$ and $y$ .

$x = \frac{3 y}{2}$

$x = \frac{3 y}{2}$

$x = \frac{3 y}{2}$

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