Let's solve the given equation for [tex]\(a\)[/tex].
The equation is:
[tex]\[ 3ab = 6 \][/tex]
To isolate [tex]\(a\)[/tex], we need to solve for [tex]\(a\)[/tex] in terms of [tex]\(b\)[/tex].
First, we can divide both sides of the equation by 3:
[tex]\[ ab = \frac{6}{3} \][/tex]
This simplifies to:
[tex]\[ ab = 2 \][/tex]
Next, we need to isolate [tex]\(a\)[/tex], so we divide both sides of the equation by [tex]\(b\)[/tex]:
[tex]\[ a = \frac{2}{b} \][/tex]
So, the value of [tex]\(a\)[/tex] in terms of [tex]\(b\)[/tex] is:
[tex]\[ a = \frac{2}{b} \][/tex]
Therefore, the correct answer is:
(A) [tex]\(\frac{2}{b}\)[/tex]
