To solve for [tex]\( x \)[/tex] in the equation:
[tex]\[ 32xy = 1, \][/tex]
we can follow these steps:
1. Isolate [tex]\( x \)[/tex]: Start by isolating [tex]\( x \)[/tex] on one side of the equation. This can be done by dividing both sides of the equation by [tex]\( 32y \)[/tex].
[tex]\[
32xy = 1
\][/tex]
Divide both sides by [tex]\( 32y \)[/tex]:
[tex]\[
x = \frac{1}{32y}
\][/tex]
2. Simplify the expression: The expression is already simplified. This shows that [tex]\( x \)[/tex] is equal to the reciprocal of [tex]\( 32y \)[/tex].
Thus, the solution for [tex]\( x \)[/tex] in terms of [tex]\( y \)[/tex] is:
[tex]\[
x = \frac{1}{32y}
\][/tex]
This provides the value of [tex]\( x \)[/tex] for any non-zero value of [tex]\( y \)[/tex].
