Finite Math Examples

$y - 8 = \frac{5}{4} \cdot (x - 4)$

Step 1

Simplify $\frac{5}{4} \cdot (x - 4)$ .

Tap for more steps...

Step 1.1

Rewrite.

$y - 8 = 0 + 0 + \frac{5}{4} \cdot (x - 4)$

Step 1.2

Simplify by adding zeros.

$y - 8 = \frac{5}{4} \cdot (x - 4)$

Step 1.3

Apply the distributive property.

$y - 8 = \frac{5}{4} x + \frac{5}{4} \cdot - 4$

Step 1.4

Combine $\frac{5}{4}$ and $x$ .

$y - 8 = \frac{5 x}{4} + \frac{5}{4} \cdot - 4$

Step 1.5

Cancel the common factor of $4$ .

Tap for more steps...

Step 1.5.1

Factor $4$ out of $- 4$ .

$y - 8 = \frac{5 x}{4} + \frac{5}{4} \cdot (4 (- 1))$

Step 1.5.2

Cancel the common factor.

$y - 8 = \frac{5 x}{4} + \frac{5}{4} \cdot (4 \cdot - 1)$

Step 1.5.3

Rewrite the expression.

$y - 8 = \frac{5 x}{4} + 5 \cdot - 1$

Step 1.6

Multiply $5$ by $- 1$ .

$y - 8 = \frac{5 x}{4} - 5$

Step 2

Move all terms not containing $y$ to the right side of the equation.

Tap for more steps...

Step 2.1

Add $8$ to both sides of the equation.

$y = \frac{5 x}{4} - 5 + 8$

Step 2.2

Add $- 5$ and $8$ .

$y = \frac{5 x}{4} + 3$