Finite Math Examples

$(8 x - 3 y) = 1$

Step 1

Solve the equation for $y$ .

Tap for more steps...

Step 1.1

Subtract $8 x$ from both sides of the equation.

$- 3 y = 1 - 8 x$

Step 1.2

Divide each term in $- 3 y = 1 - 8 x$ by $- 3$ and simplify.

Tap for more steps...

Step 1.2.1

Divide each term in $- 3 y = 1 - 8 x$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{1}{- 3} + \frac{- 8 x}{- 3}$

Step 1.2.2

Simplify the left side.

Tap for more steps...

Step 1.2.2.1

Cancel the common factor of $- 3$ .

Tap for more steps...

Step 1.2.2.1.1

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{1}{- 3} + \frac{- 8 x}{- 3}$

Step 1.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{1}{- 3} + \frac{- 8 x}{- 3}$

Step 1.2.3

Simplify the right side.

Tap for more steps...

Step 1.2.3.1

Simplify each term.

Tap for more steps...

Step 1.2.3.1.1

Move the negative in front of the fraction.

$y = - \frac{1}{3} + \frac{- 8 x}{- 3}$

Step 1.2.3.1.2

Dividing two negative values results in a positive value.

$y = - \frac{1}{3} + \frac{8 x}{3}$

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