Find Three Ordered Pair Solutions y+3x=9

$y + 3 x = 9$

Step 1

Subtract $3 x$ from both sides of the equation.

$y = 9 - 3 x$

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.

$y = 9 - 3 \cdot 0$

Simplify $9 - 3 \cdot 0$ .

Multiply $- 3$ by $0$ .

$y = 9 + 0$

Add $9$ and $0$ .

$y = 9$

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

$(0, 9)$

Step 4

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

Remove parentheses.

$y = 9 - 3 \cdot 1$

Simplify $9 - 3 \cdot 1$ .

Multiply $- 3$ by $1$ .

$y = 9 - 3$

Subtract $3$ from $9$ .

$y = 6$

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

$(1, 6)$

Step 5

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

Remove parentheses.

$y = 9 - 3 \cdot 2$

Simplify $9 - 3 \cdot 2$ .

Multiply $- 3$ by $2$ .

$y = 9 - 6$

Subtract $6$ from $9$ .

$y = 3$

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

$(2, 3)$

Step 6

These are three possible solutions to the equation.

$(0, 9), (1, 6), (2, 3)$

Step 7