Finite Math Examples

$- 4 x - y = - 4$

Step 1

Solve the equation for $y$ .

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Step 1.1

Add $4 x$ to both sides of the equation.

$- y = - 4 + 4 x$

Step 1.2

Divide each term in $- y = - 4 + 4 x$ by $- 1$ and simplify.

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Step 1.2.1

Divide each term in $- y = - 4 + 4 x$ by $- 1$ .

$\frac{- y}{- 1} = \frac{- 4}{- 1} + \frac{4 x}{- 1}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{- 4}{- 1} + \frac{4 x}{- 1}$

Step 1.2.2.2

Divide $y$ by $1$ .

$y = \frac{- 4}{- 1} + \frac{4 x}{- 1}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Simplify each term.

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Step 1.2.3.1.1

Divide $- 4$ by $- 1$ .

$y = 4 + \frac{4 x}{- 1}$

Step 1.2.3.1.2

Move the negative one from the denominator of $\frac{4 x}{- 1}$ .

$y = 4 - 1 \cdot (4 x)$

Step 1.2.3.1.3

Rewrite $- 1 \cdot (4 x)$ as $- (4 x)$ .

$y = 4 - (4 x)$

Step 1.2.3.1.4

Multiply $4$ by $- 1$ .

$y = 4 - 4 x$

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