Pre-Algebra Examples

$- \frac{3}{4} x = 9$

Step 1

Solve for $y$ .

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Step 1.1

Divide each term in $- \frac{3 x}{4} = 9$ by $- 1$ and simplify.

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Step 1.1.1

Divide each term in $- \frac{3 x}{4} = 9$ by $- 1$ .

$\frac{- \frac{3 x}{4}}{- 1} = \frac{9}{- 1}$

Step 1.1.2

Simplify the left side.

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Step 1.1.2.1

Dividing two negative values results in a positive value.

$\frac{\frac{3 x}{4}}{1} = \frac{9}{- 1}$

Step 1.1.2.2

Divide $\frac{3 x}{4}$ by $1$ .

$\frac{3 x}{4} = \frac{9}{- 1}$

Step 1.1.3

Simplify the right side.

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Step 1.1.3.1

Divide $9$ by $- 1$ .

$\frac{3 x}{4} = - 9$

Step 1.2

Multiply both sides of the equation by $\frac{4}{3}$ .

$\frac{4}{3} \cdot \frac{3 x}{4} = \frac{4}{3} \cdot - 9$

Step 1.3

Simplify both sides of the equation.

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Step 1.3.1

Simplify the left side.

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Step 1.3.1.1

Simplify $\frac{4}{3} \cdot \frac{3 x}{4}$ .

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Step 1.3.1.1.1

Cancel the common factor of $4$ .

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Step 1.3.1.1.1.1

Cancel the common factor.

$\frac{4}{3} \cdot \frac{3 x}{4} = \frac{4}{3} \cdot - 9$

Step 1.3.1.1.1.2

Rewrite the expression.

$\frac{1}{3} (3 x) = \frac{4}{3} \cdot - 9$

Step 1.3.1.1.2

Cancel the common factor of $3$ .

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Step 1.3.1.1.2.1

Factor $3$ out of $3 x$ .

$\frac{1}{3} (3 (x)) = \frac{4}{3} \cdot - 9$

Step 1.3.1.1.2.2

Cancel the common factor.

$\frac{1}{3} (3 x) = \frac{4}{3} \cdot - 9$

Step 1.3.1.1.2.3

Rewrite the expression.

$x = \frac{4}{3} \cdot - 9$

Step 1.3.2

Simplify the right side.

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Step 1.3.2.1

Simplify $\frac{4}{3} \cdot - 9$ .

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Step 1.3.2.1.1

Cancel the common factor of $3$ .

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Step 1.3.2.1.1.1

Factor $3$ out of $- 9$ .

$x = \frac{4}{3} \cdot (3 (- 3))$

Step 1.3.2.1.1.2

Cancel the common factor.

$x = \frac{4}{3} \cdot (3 \cdot - 3)$

Step 1.3.2.1.1.3

Rewrite the expression.

$x = 4 \cdot - 3$

Step 1.3.2.1.2

Multiply $4$ by $- 3$ .

$x = - 12$

Step 2

Since $x = - 12$ 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.

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

Step 4

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

Slope: Undefined

y-intercept: No y-intercept

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

Step 5