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

$- 4 x + 2 y = 2$

Step 1

Solve the equation for $y$ .

Add $4 x$ to both sides of the equation.

$2 y = 2 + 4 x$

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

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

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Divide $2$ by $2$ .

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

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

Factor $2$ out of $4 x$ .

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $2 x$ by $1$ .

$y = 1 + 2 x$

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.

$y = 1 + 2 (0)$

Simplify $1 + 2 (0)$ .

Multiply $2$ by $0$ .

$y = 1 + 0$

Add $1$ and $0$ .

$y = 1$

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

$(0, 1)$

Step 4

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

Remove parentheses.

$y = 1 + 2 (1)$

Simplify $1 + 2 (1)$ .

Multiply $2$ by $1$ .

$y = 1 + 2$

Add $1$ and $2$ .

$y = 3$

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.

$y = 1 + 2 (2)$

Simplify $1 + 2 (2)$ .

Multiply $2$ by $2$ .

$y = 1 + 4$

Add $1$ and $4$ .

$y = 5$

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

$(2, 5)$

Step 6

These are three possible solutions to the equation.

$(0, 1), (1, 3), (2, 5)$

Step 7

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

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