Find Three Ordered Pair Solutions 2x-2y=-4

$2 x - 2 y = - 4$

Step 1

Solve the equation for $y$ .

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

$- 2 y = - 4 - 2 x$

Divide each term in $- 2 y = - 4 - 2 x$ by $- 2$ and simplify.

Divide each term in $- 2 y = - 4 - 2 x$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{- 4}{- 2} + \frac{- 2 x}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{- 4}{- 2} + \frac{- 2 x}{- 2}$

Divide $y$ by $1$ .

$y = \frac{- 4}{- 2} + \frac{- 2 x}{- 2}$

Simplify the right side.

Simplify each term.

Divide $- 4$ by $- 2$ .

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

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

$y = 2 + x$

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.

$y = 2 + 0$

Add $2$ and $0$ .

$y = 2$

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

$(0, 2)$

Step 4

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

Remove parentheses.

$y = 2 + 1$

Add $2$ and $1$ .

$y = 3$

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

$(1, 3)$

Step 5

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

Remove parentheses.

$y = 2 + 2$

Add $2$ 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.

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

Step 7

Find Three Ordered Pair Solutions 2x-2y=-4

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