Which expression is equivalent to 5(a−3b)−4a+b

Question

?(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

Answer 1

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

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

2. Now, substitute this back into the original expression: \[ 5a - 15b - 4a + b \]

3. Combine like terms:

   • Combine the \(a\) terms: \(5a - 4a = 1a\) or simply \(a\).
   • Combine the \(b\) terms: \(-15b + b = -14b\).

4. Putting it all together, we get: \[ a - 14b \]

So, the expression \(5(a - 3b) - 4a + b\) simplifies to \(a - 14b\).

The equivalent expression is: \[ \boxed{a - 14b} \]