To solve the equation [tex]\( A = xy \)[/tex] for [tex]\( y \)[/tex], you can follow these steps:
1. Start with the given equation:
[tex]\[
A = xy
\][/tex]
2. Isolate y:
To isolate [tex]\( y \)[/tex], you need to get [tex]\( y \)[/tex] on one side of the equation by itself. You can do this by dividing both sides of the equation by [tex]\( x \)[/tex].
3. Perform the division:
[tex]\[
\frac{A}{x} = \frac{xy}{x}
\][/tex]
4. Simplify the right-hand side:
On the right-hand side of the equation, the [tex]\( x \)[/tex] terms cancel each other out:
[tex]\[
\frac{A}{x} = y
\][/tex]
5. Rewrite the equation:
Now you can rewrite the equation with [tex]\( y \)[/tex] on the left side:
[tex]\[
y = \frac{A}{x}
\][/tex]
So, the correct answer is:
[tex]\[
y = \frac{A}{x}
\][/tex]
This corresponds to the third option:
[tex]\[
\boxed{y = \frac{A}{x}}
\][/tex]
