Find Three Ordered Pair Solutions 5x-3y=0

$5 x - 3 y = 0$

Step 1

Solve the equation for $y$ .

Subtract $5 x$ from both sides of the equation.

$- 3 y = - 5 x$

Divide each term in $- 3 y = - 5 x$ by $- 3$ and simplify.

Divide each term in $- 3 y = - 5 x$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{- 5 x}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{- 5 x}{- 3}$

Divide $y$ by $1$ .

$y = \frac{- 5 x}{- 3}$

Simplify the right side.

Dividing two negative values results in a positive value.

$y = \frac{5 x}{3}$

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.

$y = \frac{5 (0)}{3}$

Simplify $\frac{5 (0)}{3}$ .

Cancel the common factor of $0$ and $3$ .

Factor $3$ out of $5 (0)$ .

$y = \frac{3 (5 \cdot (0))}{3}$

Cancel the common factors.

Factor $3$ out of $3$ .

$y = \frac{3 (5 \cdot (0))}{3 (1)}$

Cancel the common factor.

$y = \frac{3 (5 \cdot (0))}{3 \cdot 1}$

Rewrite the expression.

$y = \frac{5 \cdot (0)}{1}$

Divide $5 \cdot (0)$ by $1$ .

$y = 5 \cdot (0)$

Multiply $5$ 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.

$y = \frac{5 (1)}{3}$

Multiply $5$ by $1$ .

$y = \frac{5}{3}$

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

$(1, \frac{5}{3})$

Step 5

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

Remove parentheses.

$y = \frac{5 (2)}{3}$

Multiply $5$ by $2$ .

$y = \frac{10}{3}$

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

$(2, \frac{10}{3})$

Step 6

These are three possible solutions to the equation.

$(0, 0), (1, \frac{5}{3}), (2, \frac{10}{3})$

Step 7

Find Three Ordered Pair Solutions 5x-3y=0

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