Precalculus Examples

$y - 5 = \frac{4}{3} \cdot (x + 5)$

Step 1

Simplify $\frac{4}{3} \cdot (x + 5)$ .

Tap for more steps...

Step 1.1

Rewrite.

$y - 5 = 0 + 0 + \frac{4}{3} \cdot (x + 5)$

Step 1.2

Simplify by adding zeros.

$y - 5 = \frac{4}{3} \cdot (x + 5)$

Step 1.3

Apply the distributive property.

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

Step 1.4

Combine $\frac{4}{3}$ and $x$ .

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

Step 1.5

Multiply $\frac{4}{3} \cdot 5$ .

Tap for more steps...

Step 1.5.1

Combine $\frac{4}{3}$ and $5$ .

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

Step 1.5.2

Multiply $4$ by $5$ .

$y - 5 = \frac{4 x}{3} + \frac{20}{3}$

Step 2

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

Tap for more steps...

Step 2.1

Add $5$ to both sides of the equation.

$y = \frac{4 x}{3} + \frac{20}{3} + 5$

Step 2.2

To write $5$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y = \frac{4 x}{3} + \frac{20}{3} + 5 \cdot \frac{3}{3}$

Step 2.3

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

$y = \frac{4 x}{3} + \frac{20}{3} + \frac{5 \cdot 3}{3}$

Step 2.4

Combine the numerators over the common denominator.

$y = \frac{4 x}{3} + \frac{20 + 5 \cdot 3}{3}$

Step 2.5

Simplify the numerator.

Tap for more steps...

Step 2.5.1

Multiply $5$ by $3$ .

$y = \frac{4 x}{3} + \frac{20 + 15}{3}$

Step 2.5.2

Add $20$ and $15$ .

$y = \frac{4 x}{3} + \frac{35}{3}$