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

Question

?(1 point)
Responses
a−14b
A minus 14 b
−a−2b
negative A minus 2 b
9a−b
9 A minus b
9a−9b

Answer 1

To simplify the expression \(5(a - 3b) - 4a + b\), we start by distributing the \(5\) in the first term:

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

Now we can substitute this back into the expression:

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

Next, we combine like terms. For the \(a\) terms:

\[ 5a - 4a = 1a = a \]

And for the \(b\) terms:

\[ -15b + b = -14b \]

So putting it all together, we have:

\[ a - 14b \]

Thus, the expression \(5(a - 3b) - 4a + b\) simplifies to:

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