Pre-Algebra Examples

$y = \frac{1}{5} x + 8$

Step 1

Combine $\frac{1}{5}$ and $x$ .

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

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.

$y = \frac{0}{5} + 8$

Step 3.2

Simplify $\frac{0}{5} + 8$ .

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Step 3.2.1

Divide $0$ by $5$ .

$y = 0 + 8$

Step 3.2.2

Add $0$ and $8$ .

$y = 8$

Step 3.3

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

$(0, 8)$

Step 4

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

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Step 4.1

Remove parentheses.

$y = \frac{1}{5} + 8$

Step 4.2

Simplify $\frac{1}{5} + 8$ .

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Step 4.2.1

To write $8$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$y = \frac{1}{5} + 8 \cdot \frac{5}{5}$

Step 4.2.2

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

$y = \frac{1}{5} + \frac{8 \cdot 5}{5}$

Step 4.2.3

Combine the numerators over the common denominator.

$y = \frac{1 + 8 \cdot 5}{5}$

Step 4.2.4

Simplify the numerator.

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Step 4.2.4.1

Multiply $8$ by $5$ .

$y = \frac{1 + 40}{5}$

Step 4.2.4.2

Add $1$ and $40$ .

$y = \frac{41}{5}$

Step 4.3

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

$(1, \frac{41}{5})$

Step 5

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

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Step 5.1

Remove parentheses.

$y = \frac{2}{5} + 8$

Step 5.2

Simplify $\frac{2}{5} + 8$ .

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Step 5.2.1

To write $8$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$y = \frac{2}{5} + 8 \cdot \frac{5}{5}$

Step 5.2.2

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

$y = \frac{2}{5} + \frac{8 \cdot 5}{5}$

Step 5.2.3

Combine the numerators over the common denominator.

$y = \frac{2 + 8 \cdot 5}{5}$

Step 5.2.4

Simplify the numerator.

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Step 5.2.4.1

Multiply $8$ by $5$ .

$y = \frac{2 + 40}{5}$

Step 5.2.4.2

Add $2$ and $40$ .

$y = \frac{42}{5}$

Step 5.3

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

$(2, \frac{42}{5})$

Step 6

These are three possible solutions to the equation.

$(0, 8), (1, \frac{41}{5}), (2, \frac{42}{5})$

Step 7