Algebra Examples

$y - 3 = \frac{1}{3} (x - 2)$

Solve the equation for $y$ .

Tap for more steps...

Simplify $\frac{1}{3} (x - 2)$ .

Tap for more steps...

Rewrite.

$y - 3 = 0 + 0 + \frac{1}{3} (x - 2)$

Simplify by adding zeros.

$y - 3 = \frac{1}{3} (x - 2)$

Apply the distributive property.

$y - 3 = \frac{1}{3} x + \frac{1}{3} \cdot - 2$

Combine $\frac{1}{3}$ and $x$ .

$y - 3 = \frac{x}{3} + \frac{1}{3} \cdot - 2$

Combine $\frac{1}{3}$ and $- 2$ .

$y - 3 = \frac{x}{3} + \frac{- 2}{3}$

Move the negative in front of the fraction.

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

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

Tap for more steps...

Add $3$ to both sides of the equation.

$y = \frac{x}{3} - \frac{2}{3} + 3$

To write $3$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y = \frac{x}{3} - \frac{2}{3} + 3 \cdot \frac{3}{3}$

Combine $3$ and $\frac{3}{3}$ .

$y = \frac{x}{3} - \frac{2}{3} + \frac{3 \cdot 3}{3}$

Combine the numerators over the common denominator.

$y = \frac{x}{3} + \frac{- 2 + 3 \cdot 3}{3}$

Simplify the numerator.

Tap for more steps...

Multiply $3$ by $3$ .

$y = \frac{x}{3} + \frac{- 2 + 9}{3}$

Add $- 2$ and $9$ .

$y = \frac{x}{3} + \frac{7}{3}$

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be $0$ or $1$ for each of its variables. In this case, the degree of variable $y$ is $1$ and the degree of variable $x$ is $1$ .

Linear