Pre-Algebra Examples

$19 - \frac{4}{5} x = 14$

Step 1

Solve for $y$ .

Tap for more steps...

Step 1.1

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

Tap for more steps...

Step 1.1.1

Subtract $19$ from both sides of the equation.

$- \frac{4 x}{5} = 14 - 19$

Step 1.1.2

Subtract $19$ from $14$ .

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

Step 1.2

Multiply both sides of the equation by $- \frac{5}{4}$ .

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

Step 1.3

Simplify both sides of the equation.

Tap for more steps...

Step 1.3.1

Simplify the left side.

Tap for more steps...

Step 1.3.1.1

Simplify $- \frac{5}{4} (- \frac{4 x}{5})$ .

Tap for more steps...

Step 1.3.1.1.1

Cancel the common factor of $5$ .

Tap for more steps...

Step 1.3.1.1.1.1

Move the leading negative in $- \frac{5}{4}$ into the numerator.

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

Step 1.3.1.1.1.2

Move the leading negative in $- \frac{4 x}{5}$ into the numerator.

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

Step 1.3.1.1.1.3

Factor $5$ out of $- 5$ .

$\frac{5 (- 1)}{4} \cdot \frac{- 4 x}{5} = - \frac{5}{4} \cdot - 5$

Step 1.3.1.1.1.4

Cancel the common factor.

$\frac{5 \cdot - 1}{4} \cdot \frac{- 4 x}{5} = - \frac{5}{4} \cdot - 5$

Step 1.3.1.1.1.5

Rewrite the expression.

$\frac{- 1}{4} (- 4 x) = - \frac{5}{4} \cdot - 5$

Step 1.3.1.1.2

Cancel the common factor of $4$ .

Tap for more steps...

Step 1.3.1.1.2.1

Factor $4$ out of $- 4 x$ .

$\frac{- 1}{4} (4 (- x)) = - \frac{5}{4} \cdot - 5$

Step 1.3.1.1.2.2

Cancel the common factor.

$\frac{- 1}{4} (4 (- x)) = - \frac{5}{4} \cdot - 5$

Step 1.3.1.1.2.3

Rewrite the expression.

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

Step 1.3.1.1.3

Multiply.

Tap for more steps...

Step 1.3.1.1.3.1

Multiply $- 1$ by $- 1$ .

$1 x = - \frac{5}{4} \cdot - 5$

Step 1.3.1.1.3.2

Multiply $x$ by $1$ .

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

Step 1.3.2

Simplify the right side.

Tap for more steps...

Step 1.3.2.1

Multiply $- \frac{5}{4} \cdot - 5$ .

Tap for more steps...

Step 1.3.2.1.1

Multiply $- 5$ by $- 1$ .

$x = 5 (\frac{5}{4})$

Step 1.3.2.1.2

Combine $5$ and $\frac{5}{4}$ .

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

Step 1.3.2.1.3

Multiply $5$ by $5$ .

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

Step 2

Since $x = \frac{25}{4}$ 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.

$\begin{array}{c} x & y \\ \frac{25}{4} & 0 \\ \frac{25}{4} & 1 \end{array}$

Step 4

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

Slope: Undefined

y-intercept: No y-intercept

$\begin{array}{c} x & y \\ \frac{25}{4} & 0 \\ \frac{25}{4} & 1 \end{array}$

Step 5