Pre-Algebra Examples

$- 3 y - 3 x = - 3 y + 9$

Step 1

Solve for $y$ .

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Step 1.1

Move all terms containing $y$ to the left side of the equation.

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Step 1.1.1

Add $3 y$ to both sides of the equation.

$- 3 y - 3 x + 3 y = 9$

Step 1.1.2

Combine the opposite terms in $- 3 y - 3 x + 3 y$ .

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Step 1.1.2.1

Add $- 3 y$ and $3 y$ .

$- 3 x + 0 = 9$

Step 1.1.2.2

Add $- 3 x$ and $0$ .

$- 3 x = 9$

Step 1.2

Divide each term in $- 3 x = 9$ by $- 3$ and simplify.

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Step 1.2.1

Divide each term in $- 3 x = 9$ by $- 3$ .

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

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $- 3$ .

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Step 1.2.2.1.1

Cancel the common factor.

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

Step 1.2.2.1.2

Divide $x$ by $1$ .

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

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Divide $9$ by $- 3$ .

$x = - 3$

Step 1.3

The variable $y$ got canceled.

All real numbers

Step 2

Since $x = - 3$ 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.

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

Step 4

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

Slope: Undefined

y-intercept: No y-intercept

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

Step 5