Find Three Ordered Pair Solutions -8x-6y=0

$- 8 x - 6 y = 0$

Step 1

Solve the equation for $y$ .

Add $8 x$ to both sides of the equation.

$- 6 y = 8 x$

Divide each term in $- 6 y = 8 x$ by $- 6$ and simplify.

Divide each term in $- 6 y = 8 x$ by $- 6$ .

$\frac{- 6 y}{- 6} = \frac{8 x}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 y}{- 6} = \frac{8 x}{- 6}$

Divide $y$ by $1$ .

$y = \frac{8 x}{- 6}$

Simplify the right side.

Cancel the common factor of $8$ and $- 6$ .

Factor $2$ out of $8 x$ .

$y = \frac{2 (4 x)}{- 6}$

Cancel the common factors.

Factor $2$ out of $- 6$ .

$y = \frac{2 (4 x)}{2 (- 3)}$

Cancel the common factor.

$y = \frac{2 (4 x)}{2 \cdot - 3}$

Rewrite the expression.

$y = \frac{4 x}{- 3}$

Move the negative in front of the fraction.

$y = - \frac{4 x}{3}$

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.

$y = - \frac{4 (0)}{3}$

Simplify $- \frac{4 (0)}{3}$ .

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

Factor $3$ out of $4 (0)$ .

$y = - \frac{3 (4 \cdot (0))}{3}$

Cancel the common factors.

Factor $3$ out of $3$ .

$y = - \frac{3 (4 \cdot (0))}{3 (1)}$

Cancel the common factor.

$y = - \frac{3 (4 \cdot (0))}{3 \cdot 1}$

Rewrite the expression.

$y = - \frac{4 \cdot (0)}{1}$

Divide $4 \cdot (0)$ by $1$ .

$y = - (4 \cdot (0))$

Multiply $- (4 \cdot (0))$ .

Multiply $4$ by $0$ .

$y = - 0$

Multiply $- 1$ 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.

$y = - \frac{4 (1)}{3}$

Multiply $4$ by $1$ .

$y = - \frac{4}{3}$

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

$(1, - \frac{4}{3})$

Step 5

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

Remove parentheses.

$y = - \frac{4 (2)}{3}$

Multiply $4$ by $2$ .

$y = - \frac{8}{3}$

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

$(2, - \frac{8}{3})$

Step 6

These are three possible solutions to the equation.

$(0, 0), (1, - \frac{4}{3}), (2, - \frac{8}{3})$

Step 7

Find Three Ordered Pair Solutions -8x-6y=0

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