Question
Simplify the following expression.
(35x + 69y) + (43x - 17y)
A.
104x + 52y
B.
104x + 86y
C.
78x + 52y
D.
78x + 86y
Answers
GPT-4o mini
To simplify the expression \((35x + 69y) + (43x - 17y)\), we can first combine the like terms for \(x\) and \(y\).
1. Combine the \(x\) terms:
\[
35x + 43x = 78x
\]
2. Combine the \(y\) terms:
\[
69y - 17y = 52y
\]
Now, putting it all together, we have:
\[
(35x + 69y) + (43x - 17y) = 78x + 52y
\]
Thus, the simplified expression is \(78x + 52y\).
The correct answer is:
**C. 78x + 52y**
1. Combine the \(x\) terms:
\[
35x + 43x = 78x
\]
2. Combine the \(y\) terms:
\[
69y - 17y = 52y
\]
Now, putting it all together, we have:
\[
(35x + 69y) + (43x - 17y) = 78x + 52y
\]
Thus, the simplified expression is \(78x + 52y\).
The correct answer is:
**C. 78x + 52y**