Pre-Algebra Examples

$y = 20 - \frac{2}{3} y$

Step 1

Rewrite in slope-intercept form.

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Step 1.1

The slope-intercept form is

$y = m x + b$ , where

$m$ is the slope and

$b$ is the y-intercept.

$y = m x + b$

Step 1.2

Simplify the right side.

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Step 1.2.1

Simplify each term.

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Step 1.2.1.1

Combine

$y$ and

$\frac{2}{3}$ .

$y = 20 - \frac{y \cdot 2}{3}$

Step 1.2.1.2

Move

$2$ to the left of

$y$ .

$y = 20 - \frac{2 y}{3}$

Step 1.3

Graph each side of the equation. The solution is the x-value of the point of intersection.

$y \approx 12$

Step 2

The equation is not linear, so a constant slope does not exist.

Not Linear

Step 3