Pre-Algebra Examples

$x + \frac{4}{5} = - 5$

Step 1

Move all terms not containing $x$ to the right side of the equation.

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Step 1.1

Subtract $\frac{4}{5}$ from both sides of the equation.

$x = - 5 - \frac{4}{5}$

Step 1.2

To write $- 5$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$x = - 5 \cdot \frac{5}{5} - \frac{4}{5}$

Step 1.3

Combine $- 5$ and $\frac{5}{5}$ .

$x = \frac{- 5 \cdot 5}{5} - \frac{4}{5}$

Step 1.4

Combine the numerators over the common denominator.

$x = \frac{- 5 \cdot 5 - 4}{5}$

Step 1.5

Simplify the numerator.

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Step 1.5.1

Multiply $- 5$ by $5$ .

$x = \frac{- 25 - 4}{5}$

Step 1.5.2

Subtract $4$ from $- 25$ .

$x = \frac{- 29}{5}$

Step 1.6

Move the negative in front of the fraction.

$x = - \frac{29}{5}$

Step 2

Since $x = - \frac{29}{5}$ 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.

$\begin{array}{c} x & y \\ - \frac{29}{5} & 0 \\ - \frac{29}{5} & 1 \end{array}$

Step 4

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

Slope: Undefined

y-intercept: No y-intercept

$\begin{array}{c} x & y \\ - \frac{29}{5} & 0 \\ - \frac{29}{5} & 1 \end{array}$

Step 5