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], we need to isolate [tex]\(x\)[/tex]. Here's the procedure you should follow:

1. The equation we have is [tex]\(\frac{x}{19.3} = 38.6\)[/tex].

2. To get rid of the fraction and solve for [tex]\(x\)[/tex], we multiply both sides of the equation by 19.3. This step is necessary because multiplying by 19.3 will cancel out the division by 19.3 on the left side of the equation.

3. When we multiply both sides by 19.3, we get:

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

4. By performing the multiplication, we find:

[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].