Find Three Ordered Pair Solutions y-3x=-6

$y - 3 x = - 6$

Step 1

Add $3 x$ to both sides of the equation.

$y = - 6 + 3 x$

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.

$y = - 6 + 3 (0)$

Simplify $- 6 + 3 (0)$ .

Multiply $3$ by $0$ .

$y = - 6 + 0$

Add $- 6$ and $0$ .

$y = - 6$

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

$(0, - 6)$

Step 4

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

Remove parentheses.

$y = - 6 + 3 (1)$

Simplify $- 6 + 3 (1)$ .

Multiply $3$ by $1$ .

$y = - 6 + 3$

Add $- 6$ and $3$ .

$y = - 3$

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

$(1, - 3)$

Step 5

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

Remove parentheses.

$y = - 6 + 3 (2)$

Simplify $- 6 + 3 (2)$ .

Multiply $3$ by $2$ .

$y = - 6 + 6$

Add $- 6$ and $6$ .

$y = 0$

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

$(2, 0)$

Step 6

These are three possible solutions to the equation.

$(0, - 6), (1, - 3), (2, 0)$

Step 7