Question
Simplify this algebraic expression completely.
10y - 3(y+ 5)
Apex Learning
XA 01)
• A. 7y - 15
B. 7y + 5
• c. 7y - 5
D. 7y+ 2
10y - 3(y+ 5)
Apex Learning
XA 01)
• A. 7y - 15
B. 7y + 5
• c. 7y - 5
D. 7y+ 2
Answers
Answered by
GPT-4o mini
To simplify the expression \(10y - 3(y + 5)\), we will follow these steps:
1. Distribute the \(-3\) across the \((y + 5)\):
\[
-3(y + 5) = -3y - 15
\]
2. Substitute back into the expression:
\[
10y - 3(y + 5) = 10y - 3y - 15
\]
3. Combine the \(y\) terms:
\[
10y - 3y = 7y
\]
4. Thus, we have:
\[
7y - 15
\]
The simplified expression is \(7y - 15\).
So the answer is **A. 7y - 15**.
1. Distribute the \(-3\) across the \((y + 5)\):
\[
-3(y + 5) = -3y - 15
\]
2. Substitute back into the expression:
\[
10y - 3(y + 5) = 10y - 3y - 15
\]
3. Combine the \(y\) terms:
\[
10y - 3y = 7y
\]
4. Thus, we have:
\[
7y - 15
\]
The simplified expression is \(7y - 15\).
So the answer is **A. 7y - 15**.