Find Three Ordered Pair Solutions 2x-2y=12

$2 x - 2 y = 12$

Step 1

Solve the equation for $y$ .

Subtract $2 x$ from both sides of the equation.

$- 2 y = 12 - 2 x$

Divide each term in $- 2 y = 12 - 2 x$ by $- 2$ and simplify.

Divide each term in $- 2 y = 12 - 2 x$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{12}{- 2} + \frac{- 2 x}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{12}{- 2} + \frac{- 2 x}{- 2}$

Divide $y$ by $1$ .

$y = \frac{12}{- 2} + \frac{- 2 x}{- 2}$

Simplify the right side.

Simplify each term.

Divide $12$ by $- 2$ .

$y = - 6 + \frac{- 2 x}{- 2}$

Cancel the common factor of $- 2$ .

Cancel the common factor.

$y = - 6 + \frac{- 2 x}{- 2}$

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 2x-2y=12

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