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

Answer 1

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

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

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

3. Combine like terms:

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

Thus, combining these results, we get: \[ a - 14b \]

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

So, the answer is \(a - 14b\).