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What procedure can be used to solve the equation [tex]\frac{x}{19.3} = 38.6[/tex], and what is the solution?

A. Multiply [tex]\frac{x}{19.3}[/tex] by 19.3; the solution is 38.6.

B. Multiply [tex]\frac{x}{19.3}[/tex] by 19.3; the solution is 372.49.

C. Multiply both sides by 19.3; the solution is 38.6.

D. Multiply both sides by 19.3; the solution is 744.98.

Answer :

To solve the equation [tex]\(\frac{x}{19.3} = 38.6\)[/tex], we want to isolate [tex]\(x\)[/tex]. Here's a step-by-step procedure to find the solution:

1. Identify what needs to be done: The given equation is [tex]\(\frac{x}{19.3} = 38.6\)[/tex]. To solve for [tex]\(x\)[/tex], we need to eliminate the fraction by getting [tex]\(x\)[/tex] on its own.

2. Multiply both sides by 19.3: By doing so, the denominator on the left side cancels out, isolating [tex]\(x\)[/tex]. It looks like this:

[tex]\[
x = 38.6 \times 19.3
\][/tex]

3. Calculate the product: Proceed by calculating the multiplication:

[tex]\[
x = 744.98
\][/tex]

So, the solution to the equation [tex]\(\frac{x}{19.3} = 38.6\)[/tex] is [tex]\(x = 744.98\)[/tex].

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