Question

solve the following equation for the indicated variable:
$x = 16a$, for $a$
options:

1. $a = x + 16$
2. $a = x - 16$
3. $a = 16x$
4. $a = \frac{x}{16}$

Explanation:

Step1: Isolate the variable \(a\)

We have the equation \(x = 16a\). To solve for \(a\), we need to get \(a\) by itself. We can do this by dividing both sides of the equation by 16.

$$ \frac{x}{16}=\frac{16a}{16} $$

Step2: Simplify the equation

Simplifying the right - hand side, \(\frac{16a}{16}=a\), and the left - hand side remains \(\frac{x}{16}\). So we get \(a=\frac{x}{16}\).

Answer:

\(a = \frac{x}{16}\) (corresponding to the fourth option: \(a=\frac{x}{16}\))