Find Three Ordered Pair Solutions 2x+2y=18

$2 x + 2 y = 18$

Step 1

Solve the equation for $y$ .

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

$2 y = 18 - 2 x$

Divide each term in $2 y = 18 - 2 x$ by $2$ and simplify.

Divide each term in $2 y = 18 - 2 x$ by $2$ .

$\frac{2 y}{2} = \frac{18}{2} + \frac{- 2 x}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{18}{2} + \frac{- 2 x}{2}$

Divide $y$ by $1$ .

$y = \frac{18}{2} + \frac{- 2 x}{2}$

Simplify the right side.

Simplify each term.

Divide $18$ by $2$ .

$y = 9 + \frac{- 2 x}{2}$

Cancel the common factor of $- 2$ and $2$ .

Factor $2$ out of $- 2 x$ .

$y = 9 + \frac{2 (- x)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$y = 9 + \frac{2 (- x)}{2 (1)}$

Cancel the common factor.

$y = 9 + \frac{2 (- x)}{2 \cdot 1}$

Rewrite the expression.

$y = 9 + \frac{- x}{1}$

Divide $- x$ by $1$ .

$y = 9 - x$

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.

$y = 9 - (0)$

Subtract $0$ from $9$ .

$y = 9$

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

$(0, 9)$

Step 4

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

Remove parentheses.

$y = 9 - (1)$

Simplify $9 - (1)$ .

Multiply $- 1$ by $1$ .

$y = 9 - 1$

Subtract $1$ from $9$ .

$y = 8$

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

$(1, 8)$

Step 5

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

Remove parentheses.

$y = 9 - (2)$

Simplify $9 - (2)$ .

Multiply $- 1$ by $2$ .

$y = 9 - 2$

Subtract $2$ from $9$ .

$y = 7$

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

$(2, 7)$

Step 6

These are three possible solutions to the equation.

$(0, 9), (1, 8), (2, 7)$

Step 7

Find Three Ordered Pair Solutions 2x+2y=18

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