Pre-Algebra Examples

$x = 4 y$

Step 1

Solve the equation for $y$ .

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Step 1.1

Rewrite the equation as $4 y = x$ .

$4 y = x$

Step 1.2

Divide each term in $4 y = x$ by $4$ and simplify.

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Step 1.2.1

Divide each term in $4 y = x$ by $4$ .

$\frac{4 y}{4} = \frac{x}{4}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $4$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{4 y}{4} = \frac{x}{4}$

Step 1.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{x}{4}$

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.

$y = \frac{0}{4}$

Step 3.2

Divide $0$ by $4$ .

$y = 0$

Step 3.3

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

$(0, 0)$

Step 4

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

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Step 4.1

Remove parentheses.

$y = \frac{1}{4}$

Step 4.2

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

$(1, \frac{1}{4})$

Step 5

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

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Step 5.1

Remove parentheses.

$y = \frac{2}{4}$

Step 5.2

Cancel the common factor of $2$ and $4$ .

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Step 5.2.1

Factor $2$ out of $2$ .

$y = \frac{2 (1)}{4}$

Step 5.2.2

Cancel the common factors.

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Step 5.2.2.1

Factor $2$ out of $4$ .

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

Step 5.2.2.2

Cancel the common factor.

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

Step 5.2.2.3

Rewrite the expression.

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

Step 5.3

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

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

Step 6

These are three possible solutions to the equation.

$(0, 0), (1, \frac{1}{4}), (2, \frac{1}{2})$

Step 7