Finite Math Examples

$k (x) = 5 x - \frac{5 + 2 x}{7}$

Step 1

Rewrite the function as an equation.

$y = 5 x - \frac{5 + 2 x}{7}$

Step 2

Simplify $5 x - \frac{5 + 2 x}{7}$ .

Tap for more steps...

Step 2.1

To write $5 x$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$y = 5 x \cdot \frac{7}{7} - \frac{5 + 2 x}{7}$

Step 2.2

Simplify terms.

Tap for more steps...

Step 2.2.1

Combine $5 x$ and $\frac{7}{7}$ .

$y = \frac{5 x \cdot 7}{7} - \frac{5 + 2 x}{7}$

Step 2.2.2

Combine the numerators over the common denominator.

$y = \frac{5 x \cdot 7 - (5 + 2 x)}{7}$

Step 2.3

Simplify the numerator.

Tap for more steps...

Step 2.3.1

Multiply $7$ by $5$ .

$y = \frac{35 x - (5 + 2 x)}{7}$

Step 2.3.2

Apply the distributive property.

$y = \frac{35 x - 1 \cdot 5 - (2 x)}{7}$

Step 2.3.3

Multiply $- 1$ by $5$ .

$y = \frac{35 x - 5 - (2 x)}{7}$

Step 2.3.4

Multiply $2$ by $- 1$ .

$y = \frac{35 x - 5 - 2 x}{7}$

Step 2.3.5

Subtract $2 x$ from $35 x$ .

$y = \frac{33 x - 5}{7}$