Pre-Algebra Examples

$4 x + 6 x = 96$

Step 1

Divide each term in $10 x = 96$ by $10$ and simplify.

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Step 1.1

Divide each term in $10 x = 96$ by $10$ .

$\frac{10 x}{10} = \frac{96}{10}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $10$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{10 x}{10} = \frac{96}{10}$

Step 1.2.1.2

Divide $x$ by $1$ .

$x = \frac{96}{10}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Cancel the common factor of $96$ and $10$ .

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Step 1.3.1.1

Factor $2$ out of $96$ .

$x = \frac{2 (48)}{10}$

Step 1.3.1.2

Cancel the common factors.

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Step 1.3.1.2.1

Factor $2$ out of $10$ .

$x = \frac{2 \cdot 48}{2 \cdot 5}$

Step 1.3.1.2.2

Cancel the common factor.

$x = \frac{2 \cdot 48}{2 \cdot 5}$

Step 1.3.1.2.3

Rewrite the expression.

$x = \frac{48}{5}$

Step 2

Since $x = \frac{48}{5}$ 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.

$\begin{array}{c} x & y \\ \frac{48}{5} & 0 \\ \frac{48}{5} & 1 \end{array}$

Step 4

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

Slope: Undefined

y-intercept: No y-intercept

$\begin{array}{c} x & y \\ \frac{48}{5} & 0 \\ \frac{48}{5} & 1 \end{array}$

Step 5