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

$- 6 x - y = 8$

Step 1

Solve the equation for $y$ .

Add $6 x$ to both sides of the equation.

$- y = 8 + 6 x$

Divide each term in $- y = 8 + 6 x$ by $- 1$ and simplify.

Divide each term in $- y = 8 + 6 x$ by $- 1$ .

$\frac{- y}{- 1} = \frac{8}{- 1} + \frac{6 x}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{8}{- 1} + \frac{6 x}{- 1}$

Divide $y$ by $1$ .

$y = \frac{8}{- 1} + \frac{6 x}{- 1}$

Simplify the right side.

Simplify each term.

Divide $8$ by $- 1$ .

$y = - 8 + \frac{6 x}{- 1}$

Move the negative one from the denominator of $\frac{6 x}{- 1}$ .

$y = - 8 - 1 \cdot (6 x)$

Rewrite $- 1 \cdot (6 x)$ as $- (6 x)$ .

$y = - 8 - (6 x)$

Multiply $6$ by $- 1$ .

$y = - 8 - 6 x$

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.

$y = - 8 - 6 \cdot 0$

Simplify $- 8 - 6 \cdot 0$ .

Multiply $- 6$ by $0$ .

$y = - 8 + 0$

Add $- 8$ and $0$ .

$y = - 8$

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

$(0, - 8)$

Step 4

Choose $1$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

$y = - 8 - 6 \cdot 1$

Simplify $- 8 - 6 \cdot 1$ .

Multiply $- 6$ by $1$ .

$y = - 8 - 6$

Subtract $6$ from $- 8$ .

$y = - 14$

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

$(1, - 14)$

Step 5

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

Remove parentheses.

$y = - 8 - 6 \cdot 2$

Simplify $- 8 - 6 \cdot 2$ .

Multiply $- 6$ by $2$ .

$y = - 8 - 12$

Subtract $12$ from $- 8$ .

$y = - 20$

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

$(2, - 20)$

Step 6

These are three possible solutions to the equation.

$(0, - 8), (1, - 14), (2, - 20)$

Step 7

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

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