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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], you need to find the value of [tex]\(h\)[/tex]. Here's a step-by-step procedure to solve it:

1. Understand the Equation: You have [tex]\(16h = 38.4\)[/tex]. This means 16 times some number [tex]\(h\)[/tex] gives you 38.4.

2. Isolate [tex]\(h\)[/tex]: To find the value of [tex]\(h\)[/tex], you need to get [tex]\(h\)[/tex] by itself on one side of the equation. You can do this by performing the same operation on both sides of the equation.

3. Divide Both Sides by 16: Since [tex]\(16h\)[/tex] means 16 times [tex]\(h\)[/tex], you can undo this multiplication by dividing both sides of the equation by 16:
[tex]\[
h = \frac{38.4}{16}
\][/tex]

4. Calculate the Division: Divide 38.4 by 16 to find the value of [tex]\(h\)[/tex].
[tex]\[
h = 2.4
\][/tex]

So, the correct procedure is to divide both sides by 16, and the solution to the equation [tex]\(16h = 38.4\)[/tex] is [tex]\(h = 2.4\)[/tex].

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