Finite Math Examples

$y = \frac{8}{5} x + \frac{9}{5}$

Step 1

Combine $\frac{8}{5}$ and $x$ .

$y = \frac{8 x}{5} + \frac{9}{5}$

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.

$y = \frac{8 (0)}{5} + \frac{9}{5}$

Step 3.2

Simplify $\frac{8 (0)}{5} + \frac{9}{5}$ .

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Step 3.2.1

Combine the numerators over the common denominator.

$y = \frac{8 (0) + 9}{5}$

Step 3.2.2

Simplify the expression.

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Step 3.2.2.1

Multiply $8$ by $0$ .

$y = \frac{0 + 9}{5}$

Step 3.2.2.2

Add $0$ and $9$ .

$y = \frac{9}{5}$

Step 3.3

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

$(0, \frac{9}{5})$

Step 4

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

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Step 4.1

Remove parentheses.

$y = \frac{8 (1)}{5} + \frac{9}{5}$

Step 4.2

Simplify $\frac{8 (1)}{5} + \frac{9}{5}$ .

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Step 4.2.1

Combine the numerators over the common denominator.

$y = \frac{8 (1) + 9}{5}$

Step 4.2.2

Simplify the expression.

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Step 4.2.2.1

Multiply $8$ by $1$ .

$y = \frac{8 + 9}{5}$

Step 4.2.2.2

Add $8$ and $9$ .

$y = \frac{17}{5}$

Step 4.3

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

$(1, \frac{17}{5})$

Step 5

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

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Step 5.1

Remove parentheses.

$y = \frac{8 (2)}{5} + \frac{9}{5}$

Step 5.2

Simplify $\frac{8 (2)}{5} + \frac{9}{5}$ .

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Step 5.2.1

Combine the numerators over the common denominator.

$y = \frac{8 (2) + 9}{5}$

Step 5.2.2

Simplify the expression.

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Step 5.2.2.1

Multiply $8$ by $2$ .

$y = \frac{16 + 9}{5}$

Step 5.2.2.2

Add $16$ and $9$ .

$y = \frac{25}{5}$

Step 5.2.2.3

Divide $25$ by $5$ .

$y = 5$

Step 5.3

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

$(2, 5)$

Step 6

These are three possible solutions to the equation.

$(0, \frac{9}{5}), (1, \frac{17}{5}), (2, 5)$

Step 7