Pre-Algebra Examples

$\frac{2}{7} = \frac{x}{21}$

Step 1

Solve for $y$ .

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Step 1.1

Multiply both sides by $21$ .

$\frac{2}{7} \cdot 21 = \frac{x}{21} \cdot 21$

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

Simplify $\frac{2}{7} \cdot 21$ .

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Step 1.2.1.1.1

Cancel the common factor of $7$ .

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Step 1.2.1.1.1.1

Factor $7$ out of $21$ .

$\frac{2}{7} \cdot (7 (3)) = \frac{x}{21} \cdot 21$

Step 1.2.1.1.1.2

Cancel the common factor.

$\frac{2}{7} \cdot (7 \cdot 3) = \frac{x}{21} \cdot 21$

Step 1.2.1.1.1.3

Rewrite the expression.

$2 \cdot 3 = \frac{x}{21} \cdot 21$

Step 1.2.1.1.2

Multiply $2$ by $3$ .

$6 = \frac{x}{21} \cdot 21$

Step 1.2.2

Simplify the right side.

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Step 1.2.2.1

Cancel the common factor of $21$ .

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Step 1.2.2.1.1

Cancel the common factor.

$6 = \frac{x}{21} \cdot 21$

Step 1.2.2.1.2

Rewrite the expression.

$6 = x$

Step 1.3

Rewrite the equation as $x = 6$ .

$x = 6$

Step 2

Since $x = 6$ 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.

$\begin{array}{c} x & y \\ 6 & 0 \\ 6 & 1 \end{array}$

Step 4

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

Slope: Undefined

y-intercept: No y-intercept

$\begin{array}{c} x & y \\ 6 & 0 \\ 6 & 1 \end{array}$

Step 5