Find Three Ordered Pair Solutions -3x-3y=0

$- 3 x - 3 y = 0$

Step 1

Solve the equation for $y$ .

Add $3 x$ to both sides of the equation.

$- 3 y = 3 x$

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

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

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

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Cancel the common factor of $3$ and $- 3$ .

Factor $3$ out of $3 x$ .

$y = \frac{3 (x)}{- 3}$

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

$y = - 1 \cdot x$

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

$y = - x$

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.

$y = - (0)$

Multiply $- 1$ by $0$ .

$y = 0$

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

$(0, 0)$

Step 4

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

Remove parentheses.

$y = - (1)$

Multiply $- 1$ by $1$ .

$y = - 1$

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

$(1, - 1)$

Step 5

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

Remove parentheses.

$y = - (2)$

Multiply $- 1$ by $2$ .

$y = - 2$

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

$(2, - 2)$

Step 6

These are three possible solutions to the equation.

$(0, 0), (1, - 1), (2, - 2)$

Step 7

Find Three Ordered Pair Solutions -3x-3y=0

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