Pre-Algebra Examples

$60 x = 5$

Step 1

Divide each term in $60 x = 5$ by $60$ and simplify.

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Step 1.1

Divide each term in $60 x = 5$ by $60$ .

$\frac{60 x}{60} = \frac{5}{60}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $60$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{60 x}{60} = \frac{5}{60}$

Step 1.2.1.2

Divide $x$ by $1$ .

$x = \frac{5}{60}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Cancel the common factor of $5$ and $60$ .

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Step 1.3.1.1

Factor $5$ out of $5$ .

$x = \frac{5 (1)}{60}$

Step 1.3.1.2

Cancel the common factors.

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Step 1.3.1.2.1

Factor $5$ out of $60$ .

$x = \frac{5 \cdot 1}{5 \cdot 12}$

Step 1.3.1.2.2

Cancel the common factor.

$x = \frac{5 \cdot 1}{5 \cdot 12}$

Step 1.3.1.2.3

Rewrite the expression.

$x = \frac{1}{12}$

Step 2

Since $x = \frac{1}{12}$ is a vertical line, there is no y-intercept and the slope is undefined.

Slope: Undefined

y-intercept: No y-intercept

Step 3

Find two points on the line.

$\begin{array}{c} x & y \\ \frac{1}{12} & 0 \\ \frac{1}{12} & 1 \end{array}$

Step 4

Graph the line using the slope, y-intercept, and two points.

Slope: Undefined

y-intercept: No y-intercept

$\begin{array}{c} x & y \\ \frac{1}{12} & 0 \\ \frac{1}{12} & 1 \end{array}$

Step 5