Finite Math Examples

$(- 2, 4)$ , $y = \frac{1}{3} \cdot (x + 2) + 4$

Step 1

Insert the values of $x = - 2$ and $y = 4$ into the equation to find if the ordered pair is a solution.

$4 = \frac{1}{3} \cdot ((- 2) + 2) + 4$

Step 2

Simplify $\frac{1}{3} \cdot ((- 2) + 2) + 4$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Add $- 2$ and $2$ .

$4 = \frac{1}{3} \cdot 0 + 4$

Step 2.1.2

Multiply $\frac{1}{3}$ by $0$ .

$4 = 0 + 4$

Step 2.2

Add $0$ and $4$ .

$4 = 4$

Step 3

Since $4 = 4$ , the equation will always be true.

Always true

Step 4

Since the equation is always true when the values are used, the ordered pair is a solution.

The ordered pair is a solution to the equation.