Find Three Ordered Pair Solutions 4x+2y=0

$4 x + 2 y = 0$

Step 1

Solve the equation for $y$ .

Subtract $4 x$ from both sides of the equation.

$2 y = - 4 x$

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

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

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

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

Factor $2$ out of $- 4 x$ .

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $- 2 x$ 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.

$y = - 2 \cdot 0$

Multiply $- 2$ by $0$ .

$y = 0$

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

$(0, 0)$

Step 4

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

Remove parentheses.

$y = - 2 \cdot 1$

Multiply $- 2$ by $1$ .

$y = - 2$

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

$(1, - 2)$

Step 5

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

Remove parentheses.

$y = - 2 \cdot 2$

Multiply $- 2$ by $2$ .

$y = - 4$

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

$(2, - 4)$

Step 6

These are three possible solutions to the equation.

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

Step 7

Find Three Ordered Pair Solutions 4x+2y=0

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