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 \( \boxed{a - 14b} \).