Question

Which expression is equivalent to 5(a−3b)−4a+b?(1 point)Responsesa−14bA minus 14 b9a−b9 A minus b9a−9b9 A minus 9 b−a−2b

Answer 1

To simplify the expression \( 5(a - 3b) - 4a + b \), we will follow these steps:

1. Distribute \( 5 \) into \( (a - 3b) \):
\[
5(a - 3b) = 5a - 15b
\]

2. Substitute this back into the expression:
\[
5a - 15b - 4a + b
\]

3. Combine like terms:
- Combine the \( a \) terms:
\[
5a - 4a = a
\]
- Combine the \( b \) terms:
\[
-15b + b = -14b
\]

4. Now, putting it all together, we have:
\[
a - 14b
\]

Thus, the expression \( 5(a - 3b) - 4a + b \) simplifies to \( \boxed{a - 14b} \).