Pre-Algebra Examples

$\frac{x}{5} - \frac{y}{6} = 1$

Step 1

Add $\frac{y}{6}$ to both sides of the equation.

$\frac{x}{5} = 1 + \frac{y}{6}$

Step 2

Multiply both sides of the equation by $5$ .

$5 \frac{x}{5} = 5 (1 + \frac{y}{6})$

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

Cancel the common factor of $5$ .

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Step 3.1.1.1

Cancel the common factor.

$5 \frac{x}{5} = 5 (1 + \frac{y}{6})$

Step 3.1.1.2

Rewrite the expression.

$x = 5 (1 + \frac{y}{6})$

$x = 5 (1 + \frac{y}{6})$

$x = 5 (1 + \frac{y}{6})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $5 (1 + \frac{y}{6})$ .

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Step 3.2.1.1

Apply the distributive property.

$x = 5 \cdot 1 + 5 \frac{y}{6}$

Step 3.2.1.2

Multiply $5$ by $1$ .

$x = 5 + 5 \frac{y}{6}$

Step 3.2.1.3

Combine $5$ and $\frac{y}{6}$ .

$x = 5 + \frac{5 y}{6}$

$x = 5 + \frac{5 y}{6}$

$x = 5 + \frac{5 y}{6}$

$x = 5 + \frac{5 y}{6}$

Step 4

Reorder $5$ and $\frac{5 y}{6}$ .

$x = \frac{5 y}{6} + 5$

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