Find Three Ordered Pair Solutions x=6-y

$x = 6 - y$

Step 1

Solve the equation for $y$ .

Rewrite the equation as $6 - y = x$ .

$6 - y = x$

Subtract $6$ from both sides of the equation.

$- y = x - 6$

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

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

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

Simplify the left side.

Dividing two negative values results in a positive value.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Move the negative one from the denominator of $\frac{x}{- 1}$ .

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

Rewrite $- 1 \cdot x$ as $- x$ .

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

Divide $- 6$ by $- 1$ .

$y = - x + 6$

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.

$y = - (0) + 6$

Simplify $- (0) + 6$ .

Multiply $- 1$ by $0$ .

$y = 0 + 6$

Add $0$ and $6$ .

$y = 6$

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.

$y = - (1) + 6$

Simplify $- (1) + 6$ .

Multiply $- 1$ by $1$ .

$y = - 1 + 6$

Add $- 1$ and $6$ .

$y = 5$

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.

$y = - (2) + 6$

Simplify $- (2) + 6$ .

Multiply $- 1$ by $2$ .

$y = - 2 + 6$

Add $- 2$ and $6$ .

$y = 4$

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=6-y

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