College

Which procedure can be used to solve the equation [tex]16h = 38.4[/tex], and what is the solution?

A. Divide [tex]16h[/tex] by 16; the solution is 38.4.
B. Multiply [tex]16h[/tex] by 16; the solution is 38.4.
C. Divide both sides by 16; the solution is 2.4.
D. Multiply both sides by 16; the solution is 614.4.

Answer :

To solve the equation [tex]\(16h = 38.4\)[/tex], we can use the following procedure:

1. The goal is to isolate the variable [tex]\(h\)[/tex]. To do this, we need to get [tex]\(h\)[/tex] by itself on one side of the equation.

2. Currently, [tex]\(h\)[/tex] is multiplied by 16, so we should do the opposite operation to eliminate the 16 from the left side. This means we will divide both sides of the equation by 16.

3. Divide both sides:
[tex]\[
\frac{16h}{16} = \frac{38.4}{16}
\][/tex]

4. Simplify both sides:
- On the left side, [tex]\( \frac{16h}{16} \)[/tex] simplifies to [tex]\( h \)[/tex].
- On the right side, [tex]\( \frac{38.4}{16} \)[/tex] simplifies to 2.4.

5. Therefore, the solution to the equation is [tex]\( h = 2.4 \)[/tex].

In summary, when you divide both sides of the equation [tex]\(16h = 38.4\)[/tex] by 16, you find that the solution is [tex]\( h = 2.4 \)[/tex].