Pre-Algebra Examples

$\frac{x}{3} = \frac{12}{7}$

Step 1

Solve for $y$ .

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Step 1.1

Multiply both sides by $3$ .

$\frac{x}{3} \cdot 3 = \frac{12}{7} \cdot 3$

Step 1.2

Simplify.

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Step 1.2.1

Simplify the left side.

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Step 1.2.1.1

Cancel the common factor of $3$ .

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Step 1.2.1.1.1

Cancel the common factor.

$\frac{x}{3} \cdot 3 = \frac{12}{7} \cdot 3$

Step 1.2.1.1.2

Rewrite the expression.

$x = \frac{12}{7} \cdot 3$

Step 1.2.2

Simplify the right side.

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Step 1.2.2.1

Multiply $\frac{12}{7} \cdot 3$ .

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Step 1.2.2.1.1

Combine $\frac{12}{7}$ and $3$ .

$x = \frac{12 \cdot 3}{7}$

Step 1.2.2.1.2

Multiply $12$ by $3$ .

$x = \frac{36}{7}$

Step 2

Since $x = \frac{36}{7}$ 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.

$\begin{array}{c} x & y \\ \frac{36}{7} & 0 \\ \frac{36}{7} & 1 \end{array}$

Step 4

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

Slope: Undefined

y-intercept: No y-intercept

$\begin{array}{c} x & y \\ \frac{36}{7} & 0 \\ \frac{36}{7} & 1 \end{array}$

Step 5