Finite Math Examples

$3 = - \frac{5}{3} \cdot 1 + b$

Step 1

Rewrite the equation as $- \frac{5}{3} \cdot 1 + b = 3$ .

$- \frac{5}{3} \cdot 1 + b = 3$

Step 2

Multiply $- 1$ by $1$ .

$- \frac{5}{3} + b = 3$

Step 3

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

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Step 3.1

Add $\frac{5}{3}$ to both sides of the equation.

$b = 3 + \frac{5}{3}$

Step 3.2

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

$b = 3 \cdot \frac{3}{3} + \frac{5}{3}$

Step 3.3

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

$b = \frac{3 \cdot 3}{3} + \frac{5}{3}$

Step 3.4

Combine the numerators over the common denominator.

$b = \frac{3 \cdot 3 + 5}{3}$

Step 3.5

Simplify the numerator.

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Step 3.5.1

Multiply $3$ by $3$ .

$b = \frac{9 + 5}{3}$

Step 3.5.2

Add $9$ and $5$ .

$b = \frac{14}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$b = \frac{14}{3}$

Decimal Form:

$b = 4.\overline{6}$

Mixed Number Form:

$b = 4 \frac{2}{3}$