Finite Math Examples

$5 = - \frac{1}{2} \cdot - 5 + b$

Step 1

Rewrite the equation as $- \frac{1}{2} \cdot - 5 + b = 5$ .

$- \frac{1}{2} \cdot - 5 + b = 5$

Step 2

Multiply $- \frac{1}{2} \cdot - 5$ .

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Step 2.1

Multiply $- 5$ by $- 1$ .

$5 (\frac{1}{2}) + b = 5$

Step 2.2

Combine $5$ and $\frac{1}{2}$ .

$\frac{5}{2} + b = 5$

Step 3

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

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Step 3.1

Subtract $\frac{5}{2}$ from both sides of the equation.

$b = 5 - \frac{5}{2}$

Step 3.2

To write $5$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$b = 5 \cdot \frac{2}{2} - \frac{5}{2}$

Step 3.3

Combine $5$ and $\frac{2}{2}$ .

$b = \frac{5 \cdot 2}{2} - \frac{5}{2}$

Step 3.4

Combine the numerators over the common denominator.

$b = \frac{5 \cdot 2 - 5}{2}$

Step 3.5

Simplify the numerator.

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Step 3.5.1

Multiply $5$ by $2$ .

$b = \frac{10 - 5}{2}$

Step 3.5.2

Subtract $5$ from $10$ .

$b = \frac{5}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$b = \frac{5}{2}$

Decimal Form:

$b = 2.5$

Mixed Number Form:

$b = 2 \frac{1}{2}$