Question

Question
Which expression is equivalent to 5(a−3b)−4a+b
?(1 point)
Responses

9a−b
9 A minus b

−a−2b
negative A minus 2 b

9a−9b
9 A minus 9 b

a−14b
A minus 14 b

Answer 1

To simplify the expression \( 5(a - 3b) - 4a + b \), we'll follow the steps of distributing and combining like terms.

1. Distribute \(5\) into the parentheses:

\[
5(a - 3b) = 5a - 15b
\]

2. Substitute this back into the expression:

\[
5a - 15b - 4a + b
\]

3. Now, combine like terms:

- For the \(a\) terms: \(5a - 4a = 1a \) (or just \(a\))
- For the \(b\) terms: \(-15b + b = -14b\)

4. Putting it all together:

\[
a - 14b
\]

Thus, the simplified expression that is equivalent to \( 5(a−3b)−4a+b \) is:

\[
\boxed{a - 14b}
\]

The correct response is:

**a−14b** (A minus 14 b)