Question

which ordered pair (x,y) is a solution to the equation 3x+2y=11?

Answer 1

To find an ordered pair \((x, y)\) that is a solution to the equation \(3x + 2y = 11\), we can choose a value for \(x\) and solve for \(y\), or vice versa.

Let's choose \(x = 1\):

\[
3(1) + 2y = 11
\]
\[
3 + 2y = 11
\]
\[
2y = 11 - 3
\]
\[
2y = 8
\]
\[
y = 4
\]

So one solution is \((1, 4)\).

You can check this solution by plugging \(x = 1\) and \(y = 4\) back into the original equation:

\[
3(1) + 2(4) = 3 + 8 = 11
\]

Thus, the ordered pair \((1, 4)\) is indeed a solution to the equation \(3x + 2y = 11\).