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

$2 x + 4 y = - 2$

Step 1

Solve the equation for $y$ .

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

$4 y = - 2 - 2 x$

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

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

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

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Cancel the common factor of $- 2$ and $4$ .

Factor $2$ out of $- 2$ .

$y = \frac{2 (- 1)}{4} + \frac{- 2 x}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$y = \frac{2 \cdot - 1}{2 \cdot 2} + \frac{- 2 x}{4}$

Cancel the common factor.

$y = \frac{2 \cdot - 1}{2 \cdot 2} + \frac{- 2 x}{4}$

Rewrite the expression.

$y = \frac{- 1}{2} + \frac{- 2 x}{4}$

Move the negative in front of the fraction.

$y = - \frac{1}{2} + \frac{- 2 x}{4}$

Cancel the common factor of $- 2$ and $4$ .

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

$y = - \frac{1}{2} + \frac{2 (- x)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Move the negative in front of the fraction.

$y = - \frac{1}{2} - \frac{x}{2}$

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.

$y = - \frac{1}{2} - \frac{0}{2}$

Simplify $- \frac{1}{2} - \frac{0}{2}$ .

Combine the numerators over the common denominator.

$y = \frac{- 1 + 0}{2}$

Add $- 1$ and $0$ .

$y = \frac{- 1}{2}$

Move the negative in front of the fraction.

$y = - \frac{1}{2}$

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

$(0, - \frac{1}{2})$

Step 4

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

Remove parentheses.

$y = - \frac{1}{2} - \frac{1}{2}$

Simplify $- \frac{1}{2} - \frac{1}{2}$ .

Combine the numerators over the common denominator.

$y = \frac{- 1 - 1}{2}$

Simplify the expression.

Subtract $1$ from $- 1$ .

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

Divide $- 2$ by $2$ .

$y = - 1$

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.

$y = - \frac{1}{2} - \frac{2}{2}$

Simplify $- \frac{1}{2} - \frac{2}{2}$ .

Combine the numerators over the common denominator.

$y = \frac{- 1 - 2}{2}$

Simplify the expression.

Subtract $2$ from $- 1$ .

$y = \frac{- 3}{2}$

Move the negative in front of the fraction.

$y = - \frac{3}{2}$

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

$(2, - \frac{3}{2})$

Step 6

These are three possible solutions to the equation.

$(0, - \frac{1}{2}), (1, - 1), (2, - \frac{3}{2})$

Step 7

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

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