Sure, let's simplify the given expression step-by-step:
Given expression:
[tex]\[
(38x + 61y) - (3x - 11y)
\][/tex]
First, distribute the negative sign through the second set of parentheses:
[tex]\[
38x + 61y - 3x + 11y
\][/tex]
Next, combine the like terms. Combine the [tex]\(x\)[/tex] terms:
[tex]\[
38x - 3x = 35x
\][/tex]
Then, combine the [tex]\(y\)[/tex] terms:
[tex]\[
61y + 11y = 72y
\][/tex]
Putting it all together, the simplified expression is:
[tex]\[
35x + 72y
\][/tex]
Therefore, the correct answer is:
[tex]\(35 x + 72 y\)[/tex]
So, the correct choice is:
[tex]\(\boxed{35 x + 72 y}\)[/tex]
