Algebra Examples

x - y = 5

$x - y = 5$

Step 1

Solve the equation for

y

$y$ .

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Step 1.1

Subtract

x

$x$ from both sides of the equation.

- y = 5 - x

$- y = 5 - x$

Step 1.2

Divide each term in

- y = 5 - x

$- y = 5 - x$ by

- 1

$- 1$ and simplify.

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Step 1.2.1

Divide each term in

- y = 5 - x

$- y = 5 - x$ by

- 1

$- 1$ .

\frac{- y}{- 1} = \frac{5}{- 1} + \frac{- x}{- 1}

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

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Dividing two negative values results in a positive value.

\frac{y}{1} = \frac{5}{- 1} + \frac{- x}{- 1}

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

Step 1.2.2.2

Divide

y

$y$ by

1

$1$ .

y = \frac{5}{- 1} + \frac{- x}{- 1}

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

y = \frac{5}{- 1} + \frac{- x}{- 1}

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

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Simplify each term.

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Step 1.2.3.1.1

Divide

5

$5$ by

- 1

$- 1$ .

y = - 5 + \frac{- x}{- 1}

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

Step 1.2.3.1.2

Dividing two negative values results in a positive value.

y = - 5 + \frac{x}{1}

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

Step 1.2.3.1.3

Divide

x

$x$ by

1

$1$ .

y = - 5 + x

$y = - 5 + x$

y = - 5 + x

$y = - 5 + x$

y = - 5 + x

$y = - 5 + x$

y = - 5 + x

$y = - 5 + x$

y = - 5 + x

$y = - 5 + x$

Step 2

Choose any value for

x

$x$ that is in the domain to plug into the equation.

Step 3

Choose

0

$0$ to substitute in for

x

$x$ to find the ordered pair.

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Step 3.1

Remove parentheses.

y = - 5 + 0

$y = - 5 + 0$

Step 3.2

Add

- 5

$- 5$ and

0

$0$ .

y = - 5

$y = - 5$

Step 3.3

Use the

x

$x$ and

y

$y$ values to form the ordered pair.

(0, - 5)

$(0, - 5)$

(0, - 5)

$(0, - 5)$

Step 4

Choose

1

$1$ to substitute in for

x

$x$ to find the ordered pair.

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Step 4.1

Remove parentheses.

y = - 5 + 1

$y = - 5 + 1$

Step 4.2

Add

- 5

$- 5$ and

1

$1$ .

y = - 4

$y = - 4$

Step 4.3

Use the

x

$x$ and

y

$y$ values to form the ordered pair.

(1, - 4)

$(1, - 4)$

(1, - 4)

$(1, - 4)$

Step 5

Choose

2

$2$ to substitute in for

x

$x$ to find the ordered pair.

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Step 5.1

Remove parentheses.

y = - 5 + 2

$y = - 5 + 2$

Step 5.2

Add

- 5

$- 5$ and

2

$2$ .

y = - 3

$y = - 3$

Step 5.3

Use the

x

$x$ and

y

$y$ values to form the ordered pair.

(2, - 3)

$(2, - 3)$

(2, - 3)

$(2, - 3)$

Step 6

These are three possible solutions to the equation.

(0, - 5), (1, - 4), (2, - 3)

$(0, - 5), (1, - 4), (2, - 3)$

Step 7