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

$3 x - 3 y = 0$

Step 1

Solve the equation for $y$ .

Subtract $3 x$ from 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 $- 3$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

$y = x$

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.

$y = 0$

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.

$y = 1$

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.

$y = 2$

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