Finite Math Examples

$y - (3) = \frac{8}{5} \cdot (x - 0)$

Step 1

Rewrite the equation as $\frac{8}{5} \cdot (x - 0) = y - (3)$ .

$\frac{8}{5} \cdot (x - 0) = y - (3)$

Step 2

Multiply both sides of the equation by $\frac{5}{8}$ .

$\frac{5}{8} (\frac{8}{5} \cdot (x - 0)) = \frac{5}{8} (y - (3))$

Step 3

Simplify both sides of the equation.

Tap for more steps...

Step 3.1

Simplify the left side.

Tap for more steps...

Step 3.1.1

Simplify $\frac{5}{8} (\frac{8}{5} \cdot (x - 0))$ .

Tap for more steps...

Step 3.1.1.1

Subtract $0$ from $x$ .

$\frac{5}{8} (\frac{8}{5} \cdot x) = \frac{5}{8} (y - (3))$

Step 3.1.1.2

Combine $\frac{8}{5}$ and $x$ .

$\frac{5}{8} \cdot \frac{8 x}{5} = \frac{5}{8} (y - (3))$

Step 3.1.1.3

Cancel the common factor of $5$ .

Tap for more steps...

Step 3.1.1.3.1

Cancel the common factor.

$\frac{5}{8} \cdot \frac{8 x}{5} = \frac{5}{8} (y - (3))$

Step 3.1.1.3.2

Rewrite the expression.

$\frac{1}{8} (8 x) = \frac{5}{8} (y - (3))$

Step 3.1.1.4

Cancel the common factor of $8$ .

Tap for more steps...

Step 3.1.1.4.1

Factor $8$ out of $8 x$ .

$\frac{1}{8} (8 (x)) = \frac{5}{8} (y - (3))$

Step 3.1.1.4.2

Cancel the common factor.

$\frac{1}{8} (8 x) = \frac{5}{8} (y - (3))$

Step 3.1.1.4.3

Rewrite the expression.

$x = \frac{5}{8} (y - (3))$

Step 3.2

Simplify the right side.

Tap for more steps...

Step 3.2.1

Simplify $\frac{5}{8} (y - (3))$ .

Tap for more steps...

Step 3.2.1.1

Multiply $- 1$ by $3$ .

$x = \frac{5}{8} (y - 3)$

Step 3.2.1.2

Apply the distributive property.

$x = \frac{5}{8} y + \frac{5}{8} \cdot - 3$

Step 3.2.1.3

Combine $\frac{5}{8}$ and $y$ .

$x = \frac{5 y}{8} + \frac{5}{8} \cdot - 3$

Step 3.2.1.4

Multiply $\frac{5}{8} \cdot - 3$ .

Tap for more steps...

Step 3.2.1.4.1

Combine $\frac{5}{8}$ and $- 3$ .

$x = \frac{5 y}{8} + \frac{5 \cdot - 3}{8}$

Step 3.2.1.4.2

Multiply $5$ by $- 3$ .

$x = \frac{5 y}{8} + \frac{- 15}{8}$

Step 3.2.1.5

Move the negative in front of the fraction.

$x = \frac{5 y}{8} - \frac{15}{8}$