Finite Math Examples

$8 x = 5 y + 9$

Step 1

Solve the equation for $y$ .

Tap for more steps...

Step 1.1

Rewrite the equation as $5 y + 9 = 8 x$ .

$5 y + 9 = 8 x$

Step 1.2

Subtract $9$ from both sides of the equation.

$5 y = 8 x - 9$

Step 1.3

Divide each term in $5 y = 8 x - 9$ by $5$ and simplify.

Tap for more steps...

Step 1.3.1

Divide each term in $5 y = 8 x - 9$ by $5$ .

$\frac{5 y}{5} = \frac{8 x}{5} + \frac{- 9}{5}$

Step 1.3.2

Simplify the left side.

Tap for more steps...

Step 1.3.2.1

Cancel the common factor of $5$ .

Tap for more steps...

Step 1.3.2.1.1

Cancel the common factor.

$\frac{5 y}{5} = \frac{8 x}{5} + \frac{- 9}{5}$

Step 1.3.2.1.2

Divide $y$ by $1$ .

$y = \frac{8 x}{5} + \frac{- 9}{5}$

Step 1.3.3

Simplify the right side.

Tap for more steps...

Step 1.3.3.1

Move the negative in front of the fraction.

$y = \frac{8 x}{5} - \frac{9}{5}$

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