Pre-Algebra Examples

$9 = 6 x$

Step 1

Solve for $y$ .

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Step 1.1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$6 x = 9$

Step 1.2

Divide each term in $6 x = 9$ by $6$ and simplify.

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Step 1.2.1

Divide each term in $6 x = 9$ by $6$ .

$\frac{6 x}{6} = \frac{9}{6}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $6$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{6 x}{6} = \frac{9}{6}$

Step 1.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{9}{6}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Cancel the common factor of $9$ and $6$ .

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Step 1.2.3.1.1

Factor $3$ out of $9$ .

$x = \frac{3 (3)}{6}$

Step 1.2.3.1.2

Cancel the common factors.

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Step 1.2.3.1.2.1

Factor $3$ out of $6$ .

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

Step 1.2.3.1.2.2

Cancel the common factor.

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

Step 1.2.3.1.2.3

Rewrite the expression.

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

Step 2

Since $x = \frac{3}{2}$ 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.

$\begin{array}{c} x & y \\ \frac{3}{2} & 0 \\ \frac{3}{2} & 1 \end{array}$

Step 4

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

Slope: Undefined

y-intercept: No y-intercept

$\begin{array}{c} x & y \\ \frac{3}{2} & 0 \\ \frac{3}{2} & 1 \end{array}$

Step 5