Finite Math Examples

$8 = \frac{35}{2} + b$

Step 1

Rewrite the equation as $\frac{35}{2} + b = 8$ .

$\frac{35}{2} + b = 8$

Step 2

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

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Step 2.1

Subtract $\frac{35}{2}$ from both sides of the equation.

$b = 8 - \frac{35}{2}$

Step 2.2

To write $8$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$b = 8 \cdot \frac{2}{2} - \frac{35}{2}$

Step 2.3

Combine $8$ and $\frac{2}{2}$ .

$b = \frac{8 \cdot 2}{2} - \frac{35}{2}$

Step 2.4

Combine the numerators over the common denominator.

$b = \frac{8 \cdot 2 - 35}{2}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $8$ by $2$ .

$b = \frac{16 - 35}{2}$

Step 2.5.2

Subtract $35$ from $16$ .

$b = \frac{- 19}{2}$

Step 2.6

Move the negative in front of the fraction.

$b = - \frac{19}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$b = - \frac{19}{2}$

Decimal Form:

$b = - 9.5$

Mixed Number Form:

$b = - 9 \frac{1}{2}$