Pre-Algebra Examples

$115 = 240 - 15 x$

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.

$240 - 15 x = 115$

Step 1.2

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

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Step 1.2.1

Subtract $240$ from both sides of the equation.

$- 15 x = 115 - 240$

Step 1.2.2

Subtract $240$ from $115$ .

$- 15 x = - 125$

Step 1.3

Divide each term in $- 15 x = - 125$ by $- 15$ and simplify.

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Step 1.3.1

Divide each term in $- 15 x = - 125$ by $- 15$ .

$\frac{- 15 x}{- 15} = \frac{- 125}{- 15}$

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Cancel the common factor of $- 15$ .

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Step 1.3.2.1.1

Cancel the common factor.

$\frac{- 15 x}{- 15} = \frac{- 125}{- 15}$

Step 1.3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 125}{- 15}$

Step 1.3.3

Simplify the right side.

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Step 1.3.3.1

Cancel the common factor of $- 125$ and $- 15$ .

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Step 1.3.3.1.1

Factor $- 5$ out of $- 125$ .

$x = \frac{- 5 (25)}{- 15}$

Step 1.3.3.1.2

Cancel the common factors.

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Step 1.3.3.1.2.1

Factor $- 5$ out of $- 15$ .

$x = \frac{- 5 \cdot 25}{- 5 \cdot 3}$

Step 1.3.3.1.2.2

Cancel the common factor.

$x = \frac{- 5 \cdot 25}{- 5 \cdot 3}$

Step 1.3.3.1.2.3

Rewrite the expression.

$x = \frac{25}{3}$

Step 2

Since $x = \frac{25}{3}$ 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.

$\begin{array}{c} x & y \\ \frac{25}{3} & 0 \\ \frac{25}{3} & 1 \end{array}$

Step 4

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

Slope: Undefined

y-intercept: No y-intercept

$\begin{array}{c} x & y \\ \frac{25}{3} & 0 \\ \frac{25}{3} & 1 \end{array}$

Step 5