Algebra Examples

$x = y + 2$

Step 1

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

$- 2 = y + 2$

Step 2

Solve the equation for $y$ .

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Step 2.1

Rewrite the equation as $y + 2 = - 2$ .

$y + 2 = - 2$

Step 2.2

Move all terms not containing $y$ to the right side of the equation.

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Step 2.2.1

Subtract $2$ from both sides of the equation.

$y = - 2 - 2$

Step 2.2.2

Subtract $2$ from $- 2$ .

$y = - 4$

Step 3

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

$- 1 = y + 2$

Step 4

Solve the equation for $y$ .

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Step 4.1

Rewrite the equation as $y + 2 = - 1$ .

$y + 2 = - 1$

Step 4.2

Move all terms not containing $y$ to the right side of the equation.

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Step 4.2.1

Subtract $2$ from both sides of the equation.

$y = - 1 - 2$

Step 4.2.2

Subtract $2$ from $- 1$ .

$y = - 3$

Step 5

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

$0 = y + 2$

Step 6

Solve the equation for $y$ .

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Step 6.1

Rewrite the equation as $y + 2 = 0$ .

$y + 2 = 0$

Step 6.2

Subtract $2$ from both sides of the equation.

$y = - 2$

Step 7

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

$1 = y + 2$

Step 8

Solve the equation for $y$ .

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Step 8.1

Rewrite the equation as $y + 2 = 1$ .

$y + 2 = 1$

Step 8.2

Move all terms not containing $y$ to the right side of the equation.

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Step 8.2.1

Subtract $2$ from both sides of the equation.

$y = 1 - 2$

Step 8.2.2

Subtract $2$ from $1$ .

$y = - 1$

Step 9

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

$2 = y + 2$

Step 10

Solve the equation for $y$ .

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Step 10.1

Rewrite the equation as $y + 2 = 2$ .

$y + 2 = 2$

Step 10.2

Move all terms not containing $y$ to the right side of the equation.

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Step 10.2.1

Subtract $2$ from both sides of the equation.

$y = 2 - 2$

Step 10.2.2

Subtract $2$ from $2$ .

$y = 0$

Step 11

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

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

Step 12