To solve the equation [tex]\( \frac{16}{x} = -16 \)[/tex], follow these steps:
1. Understand the given equation:
[tex]\[
\frac{16}{x} = -16
\][/tex]
2. Isolate [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], we need to eliminate the fraction. Multiply both sides of the equation by [tex]\( x \)[/tex]:
[tex]\[
16 = -16x
\][/tex]
3. Solve for [tex]\( x \)[/tex]:
Now, divide both sides of the equation by [tex]\(-16\)[/tex] to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{16}{-16}
\][/tex]
4. Simplify the fraction:
Simplify [tex]\( \frac{16}{-16} \)[/tex]:
[tex]\[
x = -1
\][/tex]
Therefore, [tex]\( x \)[/tex] is equal to [tex]\(-1\)[/tex]. The correct answer is:
[tex]\[
\boxed{-1}
\][/tex]
Thus (b) is the correct choice.
