Question

Find an ordered pair that satisfies the equation negative −2x+3y=9 by letting x=−3.

Answer 1

To find the ordered pair that satisfies the equation \(-2x + 3y = 9\) by letting \(x = -3\), substitute \(-3\) for \(x\) in the equation:

\[
-2(-3) + 3y = 9
\]

Now calculate \(-2(-3)\):

\[
6 + 3y = 9
\]

Next, isolate \(3y\) by subtracting \(6\) from both sides:

\[
3y = 9 - 6
\]
\[
3y = 3
\]

Now, divide by \(3\) to solve for \(y\):

\[
y = 1
\]

So, when \(x = -3\), \(y = 1\). The ordered pair is:

\[
(-3, 1)
\]