To solve the given equation [tex]\(A = xy\)[/tex] for [tex]\(y\)[/tex], follow these steps:
1. Start with the original equation:
[tex]\[
A = xy
\][/tex]
2. To isolate [tex]\(y\)[/tex], divide both sides of the equation by [tex]\(x\)[/tex]:
[tex]\[
\frac{A}{x} = \frac{xy}{x}
\][/tex]
3. Simplify the right-hand side of the equation:
[tex]\[
\frac{A}{x} = y
\][/tex]
Therefore, the solution for [tex]\(y\)[/tex] is:
[tex]\[
y = \frac{A}{x}
\][/tex]
Among the provided options, this matches with:
[tex]\[
y = \frac{A}{x}
\][/tex]
So, the correct answer is:
[tex]\[
y = \frac{A}{x}
\][/tex]
