To simplify the given expression [tex]\((38x + 61y) - (3x - 11y)\)[/tex], follow these steps:
1. Distribute the negative sign through the second set of parentheses:
[tex]\[
(38x + 61y) - 3x + 11y
\][/tex]
2. Combine the like terms:
- Combine the [tex]\(x\)[/tex] terms: [tex]\(38x - 3x\)[/tex]
- Combine the [tex]\(y\)[/tex] terms: [tex]\(61y + 11y\)[/tex]
3. Perform the simplifications:
- For the [tex]\(x\)[/tex] terms: [tex]\(38x - 3x = 35x\)[/tex]
- For the [tex]\(y\)[/tex] terms: [tex]\(61y + 11y = 72y\)[/tex]
Therefore, the simplified expression is:
[tex]\[
35x + 72y
\][/tex]
The correct answer is:
[tex]\[
\boxed{35x + 72y}
\][/tex]
