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

$- x + 2 y = 0$

Step 1

Solve the equation for $y$ .

Add $x$ to both sides of the equation.

$2 y = x$

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

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

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

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.

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

Divide $0$ by $2$ .

$y = 0$

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.

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

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

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

Step 5

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

Remove parentheses.

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

Divide $2$ by $2$ .

$y = 1$

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

$(2, 1)$

Step 6

These are three possible solutions to the equation.

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

Step 7