Finite Math Examples

$- 4 = \frac{2}{3} \cdot (- 10) + b$

Step 1

Simplify each term.

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Step 1.1

Multiply $\frac{2}{3} (- 10)$ .

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Step 1.1.1

Combine $\frac{2}{3}$ and $- 10$ .

$- 4 = \frac{2 \cdot - 10}{3} + b$

Step 1.1.2

Multiply $2$ by $- 10$ .

$- 4 = \frac{- 20}{3} + b$

Step 1.2

Move the negative in front of the fraction.

$- 4 = - \frac{20}{3} + b$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$b = \frac{8}{3}$

Step 3