Find Three Ordered Pair Solutions x-y=6

$x - y = 6$

Step 1

Solve the equation for $y$ .

Subtract $x$ from both sides of the equation.

$- y = 6 - x$

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

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

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

Simplify the left side.

Dividing two negative values results in a positive value.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Divide $6$ by $- 1$ .

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

Dividing two negative values results in a positive value.

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

Divide $x$ by $1$ .

$y = - 6 + x$

Step 2

Choose any value for $x$ that is in the domain to plug into the equation.

Step 3

Choose $0$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

$y = - 6 + 0$

Add $- 6$ and $0$ .

$y = - 6$

Use the $x$ and $y$ values to form the ordered pair.

$(0, - 6)$

Step 4

Choose $1$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

$y = - 6 + 1$

Add $- 6$ and $1$ .

$y = - 5$

Use the $x$ and $y$ values to form the ordered pair.

$(1, - 5)$

Step 5

Choose $2$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

$y = - 6 + 2$

Add $- 6$ and $2$ .

$y = - 4$

Use the $x$ and $y$ values to form the ordered pair.

$(2, - 4)$

Step 6

These are three possible solutions to the equation.

$(0, - 6), (1, - 5), (2, - 4)$

Step 7

Find Three Ordered Pair Solutions x-y=6

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