Find Three Ordered Pair Solutions 2y-3x=0

$2 y - 3 x = 0$

Step 1

Solve the equation for $y$ .

Add $3 x$ to both sides of the equation.

$2 y = 3 x$

Divide each term in $2 y = 3 x$ by $2$ and simplify.

Divide each term in $2 y = 3 x$ by $2$ .

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

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.

$y = \frac{3 (0)}{2}$

Simplify $\frac{3 (0)}{2}$ .

Cancel the common factor of $0$ and $2$ .

Factor $2$ out of $3 (0)$ .

$y = \frac{2 (3 \cdot (0))}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$y = \frac{2 (3 \cdot (0))}{2 (1)}$

Cancel the common factor.

$y = \frac{2 (3 \cdot (0))}{2 \cdot 1}$

Rewrite the expression.

$y = \frac{3 \cdot (0)}{1}$

Divide $3 \cdot (0)$ by $1$ .

$y = 3 \cdot (0)$

Multiply $3$ 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.

$y = \frac{3 (1)}{2}$

Multiply $3$ by $1$ .

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

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

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

Step 5

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

Remove parentheses.

$y = \frac{3 (2)}{2}$

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $3$ by $1$ .

$y = 3$

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

$(2, 3)$

Step 6

These are three possible solutions to the equation.

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

Step 7

Find Three Ordered Pair Solutions 2y-3x=0

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