Pre-Algebra Examples

$y = \frac{1}{2} x - 8 \cdot 6 \cdot - 10$

Step 1

Simplify each term.

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Step 1.1

Combine $\frac{1}{2}$ and $x$ .

$y = \frac{x}{2} - 8 \cdot 6 \cdot - 10$

Step 1.2

Multiply $- 8 \cdot 6 \cdot - 10$ .

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Step 1.2.1

Multiply $- 8$ by $6$ .

$y = \frac{x}{2} - 48 \cdot - 10$

Step 1.2.2

Multiply $- 48$ by $- 10$ .

$y = \frac{x}{2} + 480$

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.

$y = \frac{0}{2} + 480$

Step 3.2

Simplify $\frac{0}{2} + 480$ .

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Step 3.2.1

Divide $0$ by $2$ .

$y = 0 + 480$

Step 3.2.2

Add $0$ and $480$ .

$y = 480$

Step 3.3

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

$(0, 480)$

Step 4

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

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Step 4.1

Remove parentheses.

$y = \frac{1}{2} + 480$

Step 4.2

Simplify $\frac{1}{2} + 480$ .

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Step 4.2.1

To write $480$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$y = \frac{1}{2} + 480 \cdot \frac{2}{2}$

Step 4.2.2

Combine $480$ and $\frac{2}{2}$ .

$y = \frac{1}{2} + \frac{480 \cdot 2}{2}$

Step 4.2.3

Combine the numerators over the common denominator.

$y = \frac{1 + 480 \cdot 2}{2}$

Step 4.2.4

Simplify the numerator.

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Step 4.2.4.1

Multiply $480$ by $2$ .

$y = \frac{1 + 960}{2}$

Step 4.2.4.2

Add $1$ and $960$ .

$y = \frac{961}{2}$

Step 4.3

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

$(1, \frac{961}{2})$

Step 5

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

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Step 5.1

Remove parentheses.

$y = \frac{2}{2} + 480$

Step 5.2

Simplify $\frac{2}{2} + 480$ .

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Step 5.2.1

Divide $2$ by $2$ .

$y = 1 + 480$

Step 5.2.2

Add $1$ and $480$ .

$y = 481$

Step 5.3

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

$(2, 481)$

Step 6

These are three possible solutions to the equation.

$(0, 480), (1, \frac{961}{2}), (2, 481)$

Step 7