Answered

What is the value of [tex]$3ab + 5b - 6[tex]$[/tex] when [tex]$[/tex]a = -1[tex]$[/tex] and [tex]$[/tex]b = 3$[/tex]?

A. 0
B. 6
C. 18
D. 24



Answer :

Let's determine the value of the expression \(3ab + 5b - 6\) given the values \(a = -1\) and \(b = 3\).

We start by substituting \(a = -1\) and \(b = 3\) into the expression \(3ab + 5b - 6\):

1. Substituting the values:
[tex]\[ 3(-1)(3) + 5(3) - 6 \][/tex]

2. Simplifying inside the parentheses and performing the multiplication:
[tex]\[ 3 \cdot (-1) \cdot 3 = -9 \][/tex]

3. So, now the expression becomes:
[tex]\[ -9 + 5 \cdot 3 - 6 \][/tex]

4. Next, we handle the multiplication:
[tex]\[ 5 \cdot 3 = 15 \][/tex]

5. Now, substitute back into the expression:
[tex]\[ -9 + 15 - 6 \][/tex]

6. Finally, we perform the addition and subtraction from left to right:
[tex]\[ -9 + 15 = 6 \][/tex]
[tex]\[ 6 - 6 = 0 \][/tex]

Therefore, the value of the expression [tex]\(3ab + 5b - 6\)[/tex] when [tex]\(a = -1\)[/tex] and [tex]\(b = 3\)[/tex] is [tex]\(\boxed{0}\)[/tex].