To find an ordered pair [tex]\((x, y)\)[/tex] that is a solution to the given equation [tex]\(x - 3y = 9\)[/tex], we can choose any value for [tex]\(x\)[/tex] and then solve for [tex]\(y\)[/tex].
Let's choose [tex]\(x = 0\)[/tex].
1. Substitute [tex]\(x = 0\)[/tex] into the equation:
[tex]\[
0 - 3y = 9
\][/tex]
2. Simplify the equation:
[tex]\[
-3y = 9
\][/tex]
3. Solve for [tex]\(y\)[/tex] by dividing both sides of the equation by [tex]\(-3\)[/tex]:
[tex]\[
y = \frac{9}{-3}
\][/tex]
4. Simplifying the division:
[tex]\[
y = -3
\][/tex]
So, when [tex]\(x = 0\)[/tex], [tex]\(y \)[/tex] is equal to [tex]\(-3\)[/tex].
Therefore, the ordered pair [tex]\((x, y)\)[/tex] that is a solution to the equation [tex]\(x - 3y = 9\)[/tex] is:
[tex]\[
(x, y) = (0, -3)
\][/tex]
