Find Three Ordered Pair Solutions 3x-3y=-9

$3 x - 3 y = - 9$

Step 1

Solve the equation for $y$ .

Subtract $3 x$ from both sides of the equation.

$- 3 y = - 9 - 3 x$

Divide each term in $- 3 y = - 9 - 3 x$ by $- 3$ and simplify.

Divide each term in $- 3 y = - 9 - 3 x$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{- 9}{- 3} + \frac{- 3 x}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{- 9}{- 3} + \frac{- 3 x}{- 3}$

Divide $y$ by $1$ .

$y = \frac{- 9}{- 3} + \frac{- 3 x}{- 3}$

Simplify the right side.

Simplify each term.

Divide $- 9$ by $- 3$ .

$y = 3 + \frac{- 3 x}{- 3}$

Cancel the common factor of $- 3$ .

Cancel the common factor.

$y = 3 + \frac{- 3 x}{- 3}$

Divide $x$ by $1$ .

$y = 3 + x$

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.

$y = 3 + 0$

Add $3$ and $0$ .

$y = 3$

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

$(0, 3)$

Step 4

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

Remove parentheses.

$y = 3 + 1$

Add $3$ and $1$ .

$y = 4$

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

$(1, 4)$

Step 5

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

Remove parentheses.

$y = 3 + 2$

Add $3$ and $2$ .

$y = 5$

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

$(2, 5)$

Step 6

These are three possible solutions to the equation.

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

Step 7

Find Three Ordered Pair Solutions 3x-3y=-9

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