Algebra Examples

$x y = 12$

Step 1

Substitute $- 2$ for $x$ and find the result for $y$ .

$(- 2) \cdot y = 12$

Step 2

Divide each term in $- 2 \cdot y = 12$ by $- 2$ and simplify.

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Step 2.1

Divide each term in $- 2 \cdot y = 12$ by $- 2$ .

$\frac{- 2 \cdot y}{- 2} = \frac{12}{- 2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 2 \cdot y}{- 2} = \frac{12}{- 2}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{12}{- 2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $12$ by $- 2$ .

$y = - 6$

Step 3

Substitute $- 1$ for $x$ and find the result for $y$ .

$(- 1) \cdot y = 12$

Step 4

Divide each term in $- 1 \cdot y = 12$ by $- 1$ and simplify.

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Step 4.1

Divide each term in $- 1 \cdot y = 12$ by $- 1$ .

$\frac{- 1 \cdot y}{- 1} = \frac{12}{- 1}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{12}{- 1}$

Step 4.2.2

Divide $y$ by $1$ .

$y = \frac{12}{- 1}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $12$ by $- 1$ .

$y = - 12$

Step 5

Substitute $1$ for $x$ and find the result for $y$ .

$(1) \cdot y = 12$

Step 6

Multiply $y$ by $1$ .

$y = 12$

Step 7

Substitute $2$ for $x$ and find the result for $y$ .

$(2) \cdot y = 12$

Step 8

Solve the equation for $y$ .

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Step 8.1

Multiply $2$ by $y$ .

$2 \cdot y = 12$

Step 8.2

Divide each term in $2 \cdot y = 12$ by $2$ and simplify.

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Step 8.2.1

Divide each term in $2 \cdot y = 12$ by $2$ .

$\frac{2 \cdot y}{2} = \frac{12}{2}$

Step 8.2.2

Simplify the left side.

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Step 8.2.2.1

Cancel the common factor of $2$ .

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Step 8.2.2.1.1

Cancel the common factor.

$\frac{2 \cdot y}{2} = \frac{12}{2}$

Step 8.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{12}{2}$

Step 8.2.3

Simplify the right side.

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Step 8.2.3.1

Divide $12$ by $2$ .

$y = 6$

Step 9

This is a table of possible values to use when graphing the equation.

$\begin{array}{c} x & y \\ - 2 & - 6 \\ - 1 & - 12 \\ 1 & 12 \\ 2 & 6 \end{array}$

Step 10