College

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], you should follow these steps:

1. Identify the operation in the equation: The equation involves division, as [tex]\(x\)[/tex] is divided by 19.3.

2. Undo the division by multiplying: To solve for [tex]\(x\)[/tex], you need to undo the division by multiplying both sides of the equation by the same number, which is 19.3.

3. Perform the multiplication: Multiply both sides by 19.3:

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

4. Calculate the product: Compute the value of [tex]\(38.6 \times 19.3\)[/tex], which gives you 744.98.

So, the solution to the equation [tex]\(\frac{x}{19.3} = 38.6\)[/tex] is [tex]\(x = 744.98\)[/tex]. Therefore, the correct procedure and solution are to multiply both sides by 19.3, and the solution is 744.98.