Pre-Algebra Examples

$y = \frac{3}{5} x - 5$

Step 1

Combine $\frac{3}{5}$ and $x$ .

$y = \frac{3 x}{5} - 5$

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.

$y = \frac{3 (0)}{5} - 5$

Step 3.2

Simplify $\frac{3 (0)}{5} - 5$ .

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Step 3.2.1

Multiply $3$ by $0$ .

$y = \frac{0}{5} - 5$

Step 3.2.2

Divide $0$ by $5$ .

$y = 0 - 5$

Step 3.2.3

Subtract $5$ from $0$ .

$y = - 5$

Step 3.3

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

$(0, - 5)$

Step 4

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

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Step 4.1

Remove parentheses.

$y = \frac{3 (1)}{5} - 5$

Step 4.2

Simplify $\frac{3 (1)}{5} - 5$ .

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Step 4.2.1

Multiply $3$ by $1$ .

$y = \frac{3}{5} - 5$

Step 4.2.2

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

$y = \frac{3}{5} - 5 \cdot \frac{5}{5}$

Step 4.2.3

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

$y = \frac{3}{5} + \frac{- 5 \cdot 5}{5}$

Step 4.2.4

Combine the numerators over the common denominator.

$y = \frac{3 - 5 \cdot 5}{5}$

Step 4.2.5

Simplify the numerator.

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Step 4.2.5.1

Multiply $- 5$ by $5$ .

$y = \frac{3 - 25}{5}$

Step 4.2.5.2

Subtract $25$ from $3$ .

$y = \frac{- 22}{5}$

Step 4.2.6

Move the negative in front of the fraction.

$y = - \frac{22}{5}$

Step 4.3

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

$(1, - \frac{22}{5})$

Step 5

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

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Step 5.1

Remove parentheses.

$y = \frac{3 (2)}{5} - 5$

Step 5.2

Simplify $\frac{3 (2)}{5} - 5$ .

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Step 5.2.1

Multiply $3$ by $2$ .

$y = \frac{6}{5} - 5$

Step 5.2.2

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

$y = \frac{6}{5} - 5 \cdot \frac{5}{5}$

Step 5.2.3

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

$y = \frac{6}{5} + \frac{- 5 \cdot 5}{5}$

Step 5.2.4

Combine the numerators over the common denominator.

$y = \frac{6 - 5 \cdot 5}{5}$

Step 5.2.5

Simplify the numerator.

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Step 5.2.5.1

Multiply $- 5$ by $5$ .

$y = \frac{6 - 25}{5}$

Step 5.2.5.2

Subtract $25$ from $6$ .

$y = \frac{- 19}{5}$

Step 5.2.6

Move the negative in front of the fraction.

$y = - \frac{19}{5}$

Step 5.3

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

$(2, - \frac{19}{5})$

Step 6

These are three possible solutions to the equation.

$(0, - 5), (1, - \frac{22}{5}), (2, - \frac{19}{5})$

Step 7