Algebra Examples

$3 x - y = 3$

Step 1

Solve the equation for $y$ .

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Subtract $3 x$ from both sides of the equation.

$- y = 3 - 3 x$

Divide each term in $- y = 3 - 3 x$ by $- 1$ and simplify.

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Divide each term in $- y = 3 - 3 x$ by $- 1$ .

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

Simplify the left side.

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Dividing two negative values results in a positive value.

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

Divide $y$ by $1$ .

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

Simplify the right side.

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Simplify each term.

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Divide $3$ by $- 1$ .

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

Move the negative one from the denominator of $\frac{- 3 x}{- 1}$ .

$y = - 3 - 1 \cdot (- 3 x)$

Rewrite $- 1 \cdot (- 3 x)$ as $- (- 3 x)$ .

$y = - 3 - (- 3 x)$

Multiply $- 3$ by $- 1$ .

$y = - 3 + 3 x$

Step 2

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