Find Three Ordered Pair Solutions 9x-7y=0

$9 x - 7 y = 0$

Step 1

Solve the equation for $y$ .

Subtract $9 x$ from both sides of the equation.

$- 7 y = - 9 x$

Divide each term in $- 7 y = - 9 x$ by $- 7$ and simplify.

Divide each term in $- 7 y = - 9 x$ by $- 7$ .

$\frac{- 7 y}{- 7} = \frac{- 9 x}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 y}{- 7} = \frac{- 9 x}{- 7}$

Divide $y$ by $1$ .

$y = \frac{- 9 x}{- 7}$

Simplify the right side.

Dividing two negative values results in a positive value.

$y = \frac{9 x}{7}$

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.

$y = \frac{9 (0)}{7}$

Simplify $\frac{9 (0)}{7}$ .

Cancel the common factor of $0$ and $7$ .

Factor $7$ out of $9 (0)$ .

$y = \frac{7 (9 \cdot (0))}{7}$

Cancel the common factors.

Factor $7$ out of $7$ .

$y = \frac{7 (9 \cdot (0))}{7 (1)}$

Cancel the common factor.

$y = \frac{7 (9 \cdot (0))}{7 \cdot 1}$

Rewrite the expression.

$y = \frac{9 \cdot (0)}{1}$

Divide $9 \cdot (0)$ by $1$ .

$y = 9 \cdot (0)$

Multiply $9$ 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.

$y = \frac{9 (1)}{7}$

Multiply $9$ by $1$ .

$y = \frac{9}{7}$

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

$(1, \frac{9}{7})$

Step 5

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

Remove parentheses.

$y = \frac{9 (2)}{7}$

Multiply $9$ by $2$ .

$y = \frac{18}{7}$

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

$(2, \frac{18}{7})$

Step 6

These are three possible solutions to the equation.

$(0, 0), (1, \frac{9}{7}), (2, \frac{18}{7})$

Step 7

Find Three Ordered Pair Solutions 9x-7y=0

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