Algebra Examples

$y = \frac{1}{x + 3}$

Step 1

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

$y = \frac{1}{(- 2) + 3}$

Step 2

Solve the equation for $y$ .

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Step 2.1

Remove parentheses.

$y = \frac{1}{- 2 + 3}$

Step 2.2

Remove parentheses.

$y = \frac{1}{(- 2) + 3}$

Step 2.3

Simplify $\frac{1}{(- 2) + 3}$ .

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Step 2.3.1

Add $- 2$ and $3$ .

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

Step 2.3.2

Divide $1$ by $1$ .

$y = 1$

Step 3

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

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

Step 4

Solve the equation for $y$ .

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Step 4.1

Remove parentheses.

$y = \frac{1}{- 1 + 3}$

Step 4.2

Remove parentheses.

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

Step 4.3

Add $- 1$ and $3$ .

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

Step 5

Substitute $0$ for $x$ and find the result for $y$ .

$y = \frac{1}{(0) + 3}$

Step 6

Solve the equation for $y$ .

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Step 6.1

Remove parentheses.

$y = \frac{1}{0 + 3}$

Step 6.2

Remove parentheses.

$y = \frac{1}{(0) + 3}$

Step 6.3

Add $0$ and $3$ .

$y = \frac{1}{3}$

Step 7

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

$y = \frac{1}{(1) + 3}$

Step 8

Solve the equation for $y$ .

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Step 8.1

Remove parentheses.

$y = \frac{1}{1 + 3}$

Step 8.2

Remove parentheses.

$y = \frac{1}{(1) + 3}$

Step 8.3

Add $1$ and $3$ .

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

Step 9

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

$y = \frac{1}{(2) + 3}$

Step 10

Solve the equation for $y$ .

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Step 10.1

Remove parentheses.

$y = \frac{1}{2 + 3}$

Step 10.2

Remove parentheses.

$y = \frac{1}{(2) + 3}$

Step 10.3

Add $2$ and $3$ .

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

Step 11

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

$\begin{array}{c} x & y \\ - 2 & 1 \\ - 1 & \frac{1}{2} \\ 0 & \frac{1}{3} \\ 1 & \frac{1}{4} \\ 2 & \frac{1}{5} \end{array}$

Step 12