Finite Math Examples

$y = \frac{8}{3} x + 3$

Step 1

Combine $\frac{8}{3}$ and $x$ .

$y = \frac{8 x}{3} + 3$

Step 2

Choose any value for $x$ that is in the domain to plug into the equation.

Step 3

Choose $0$ to substitute in for $x$ to find the ordered pair.

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Step 3.1

Remove parentheses.

$y = \frac{8 (0)}{3} + 3$

Step 3.2

Simplify $\frac{8 (0)}{3} + 3$ .

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Step 3.2.1

Multiply $8$ by $0$ .

$y = \frac{0}{3} + 3$

Step 3.2.2

Divide $0$ by $3$ .

$y = 0 + 3$

Step 3.2.3

Add $0$ and $3$ .

$y = 3$

Step 3.3

Use the $x$ and $y$ values to form the ordered pair.

$(0, 3)$

Step 4

Choose $1$ to substitute in for $x$ to find the ordered pair.

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Step 4.1

Remove parentheses.

$y = \frac{8 (1)}{3} + 3$

Step 4.2

Simplify $\frac{8 (1)}{3} + 3$ .

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Step 4.2.1

Multiply $8$ by $1$ .

$y = \frac{8}{3} + 3$

Step 4.2.2

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

$y = \frac{8}{3} + 3 \cdot \frac{3}{3}$

Step 4.2.3

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

$y = \frac{8}{3} + \frac{3 \cdot 3}{3}$

Step 4.2.4

Combine the numerators over the common denominator.

$y = \frac{8 + 3 \cdot 3}{3}$

Step 4.2.5

Simplify the numerator.

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Step 4.2.5.1

Multiply $3$ by $3$ .

$y = \frac{8 + 9}{3}$

Step 4.2.5.2

Add $8$ and $9$ .

$y = \frac{17}{3}$

Step 4.3

Use the $x$ and $y$ values to form the ordered pair.

$(1, \frac{17}{3})$

Step 5

Choose $2$ to substitute in for $x$ to find the ordered pair.

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Step 5.1

Remove parentheses.

$y = \frac{8 (2)}{3} + 3$

Step 5.2

Simplify $\frac{8 (2)}{3} + 3$ .

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Step 5.2.1

Multiply $8$ by $2$ .

$y = \frac{16}{3} + 3$

Step 5.2.2

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

$y = \frac{16}{3} + 3 \cdot \frac{3}{3}$

Step 5.2.3

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

$y = \frac{16}{3} + \frac{3 \cdot 3}{3}$

Step 5.2.4

Combine the numerators over the common denominator.

$y = \frac{16 + 3 \cdot 3}{3}$

Step 5.2.5

Simplify the numerator.

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Step 5.2.5.1

Multiply $3$ by $3$ .

$y = \frac{16 + 9}{3}$

Step 5.2.5.2

Add $16$ and $9$ .

$y = \frac{25}{3}$

Step 5.3

Use the $x$ and $y$ values to form the ordered pair.

$(2, \frac{25}{3})$

Step 6

These are three possible solutions to the equation.

$(0, 3), (1, \frac{17}{3}), (2, \frac{25}{3})$

Step 7