Algebra Examples

$x - y = 5$

Step 1

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

$(- 2) - y = 5$

Step 2

Solve the equation for $y$ .

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Step 2.1

Remove parentheses.

$- 2 - y = 5$

Step 2.2

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

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Step 2.2.1

Add $2$ to both sides of the equation.

$- y = 5 + 2$

Step 2.2.2

Add $5$ and $2$ .

$- y = 7$

Step 2.3

Divide each term in $- y = 7$ by $- 1$ and simplify.

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Step 2.3.1

Divide each term in $- y = 7$ by $- 1$ .

$\frac{- y}{- 1} = \frac{7}{- 1}$

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{7}{- 1}$

Step 2.3.2.2

Divide $y$ by $1$ .

$y = \frac{7}{- 1}$

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Divide $7$ by $- 1$ .

$y = - 7$

Step 3

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

$(- 1) - y = 5$

Step 4

Solve the equation for $y$ .

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Step 4.1

Remove parentheses.

$- 1 - y = 5$

Step 4.2

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

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Step 4.2.1

Add $1$ to both sides of the equation.

$- y = 5 + 1$

Step 4.2.2

Add $5$ and $1$ .

$- y = 6$

Step 4.3

Divide each term in $- y = 6$ by $- 1$ and simplify.

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Step 4.3.1

Divide each term in $- y = 6$ by $- 1$ .

$\frac{- y}{- 1} = \frac{6}{- 1}$

Step 4.3.2

Simplify the left side.

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Step 4.3.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{6}{- 1}$

Step 4.3.2.2

Divide $y$ by $1$ .

$y = \frac{6}{- 1}$

Step 4.3.3

Simplify the right side.

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Step 4.3.3.1

Divide $6$ by $- 1$ .

$y = - 6$

Step 5

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

$(0) - y = 5$

Step 6

Solve the equation for $y$ .

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Step 6.1

Subtract $y$ from $0$ .

$- y = 5$

Step 6.2

Divide each term in $- y = 5$ by $- 1$ and simplify.

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Step 6.2.1

Divide each term in $- y = 5$ by $- 1$ .

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

Step 6.2.2

Simplify the left side.

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Step 6.2.2.1

Dividing two negative values results in a positive value.

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

Step 6.2.2.2

Divide $y$ by $1$ .

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

Step 6.2.3

Simplify the right side.

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Step 6.2.3.1

Divide $5$ by $- 1$ .

$y = - 5$

Step 7

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

$(1) - y = 5$

Step 8

Solve the equation for $y$ .

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Step 8.1

Remove parentheses.

$1 - y = 5$

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 $1$ from both sides of the equation.

$- y = 5 - 1$

Step 8.2.2

Subtract $1$ from $5$ .

$- y = 4$

Step 8.3

Divide each term in $- y = 4$ by $- 1$ and simplify.

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Step 8.3.1

Divide each term in $- y = 4$ by $- 1$ .

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

Step 8.3.2

Simplify the left side.

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Step 8.3.2.1

Dividing two negative values results in a positive value.

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

Step 8.3.2.2

Divide $y$ by $1$ .

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

Step 8.3.3

Simplify the right side.

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Step 8.3.3.1

Divide $4$ by $- 1$ .

$y = - 4$

Step 9

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

$(2) - y = 5$

Step 10

Solve the equation for $y$ .

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Step 10.1

Remove parentheses.

$2 - y = 5$

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.

$- y = 5 - 2$

Step 10.2.2

Subtract $2$ from $5$ .

$- y = 3$

Step 10.3

Divide each term in $- y = 3$ by $- 1$ and simplify.

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Step 10.3.1

Divide each term in $- y = 3$ by $- 1$ .

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

Step 10.3.2

Simplify the left side.

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Step 10.3.2.1

Dividing two negative values results in a positive value.

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

Step 10.3.2.2

Divide $y$ by $1$ .

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

Step 10.3.3

Simplify the right side.

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Step 10.3.3.1

Divide $3$ by $- 1$ .

$y = - 3$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - 7 \\ - 1 & - 6 \\ 0 & - 5 \\ 1 & - 4 \\ 2 & - 3 \end{array}$

Step 12