Find Three Ordered Pair Solutions 3x=y+6

$3 x = y + 6$

Step 1

Solve the equation for $y$ .

Rewrite the equation as $y + 6 = 3 x$ .

$y + 6 = 3 x$

Subtract $6$ from both sides of the equation.

$y = 3 x - 6$

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.

$y = 3 (0) - 6$

Simplify $3 (0) - 6$ .

Multiply $3$ by $0$ .

$y = 0 - 6$

Subtract $6$ from $0$ .

$y = - 6$

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.

$y = 3 (1) - 6$

Simplify $3 (1) - 6$ .

Multiply $3$ by $1$ .

$y = 3 - 6$

Subtract $6$ from $3$ .

$y = - 3$

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.

$y = 3 (2) - 6$

Simplify $3 (2) - 6$ .

Multiply $3$ by $2$ .

$y = 6 - 6$

Subtract $6$ from $6$ .

$y = 0$

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

Find Three Ordered Pair Solutions 3x=y+6

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