Find Three Ordered Pair Solutions 6x-y=-4

$6 x - y = - 4$

Step 1

Solve the equation for $y$ .

Subtract $6 x$ from both sides of the equation.

$- y = - 4 - 6 x$

Divide each term in $- y = - 4 - 6 x$ by $- 1$ and simplify.

Divide each term in $- y = - 4 - 6 x$ by $- 1$ .

$\frac{- y}{- 1} = \frac{- 4}{- 1} + \frac{- 6 x}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{- 4}{- 1} + \frac{- 6 x}{- 1}$

Divide $y$ by $1$ .

$y = \frac{- 4}{- 1} + \frac{- 6 x}{- 1}$

Simplify the right side.

Simplify each term.

Divide $- 4$ by $- 1$ .

$y = 4 + \frac{- 6 x}{- 1}$

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

$y = 4 - 1 \cdot (- 6 x)$

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

$y = 4 - (- 6 x)$

Multiply $- 6$ by $- 1$ .

$y = 4 + 6 x$

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.

$y = 4 + 6 (0)$

Simplify $4 + 6 (0)$ .

Multiply $6$ by $0$ .

$y = 4 + 0$

Add $4$ and $0$ .

$y = 4$

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

$(0, 4)$

Step 4

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

Remove parentheses.

$y = 4 + 6 (1)$

Simplify $4 + 6 (1)$ .

Multiply $6$ by $1$ .

$y = 4 + 6$

Add $4$ and $6$ .

$y = 10$

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

$(1, 10)$

Step 5

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

Remove parentheses.

$y = 4 + 6 (2)$

Simplify $4 + 6 (2)$ .

Multiply $6$ by $2$ .

$y = 4 + 12$

Add $4$ and $12$ .

$y = 16$

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

$(2, 16)$

Step 6

These are three possible solutions to the equation.

$(0, 4), (1, 10), (2, 16)$

Step 7

Find Three Ordered Pair Solutions 6x-y=-4

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