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Answer :
To solve the equation [tex]\(\frac{x}{19.3} = 38.6\)[/tex], we need to find the value of [tex]\(x\)[/tex]. Here’s how we can do it step by step:
1. Understand the Equation: The equation given is [tex]\(\frac{x}{19.3} = 38.6\)[/tex]. This means that when [tex]\(x\)[/tex] is divided by 19.3, the result is 38.6.
2. Isolate [tex]\(x\)[/tex]: To solve for [tex]\(x\)[/tex], we want to isolate it on one side of the equation. To do this, we can eliminate the division by 19.3 by performing the same operation (multiplication) on both sides of the equation.
3. Multiply Both Sides by 19.3: This step will help us get rid of the fraction. If we multiply both sides of [tex]\(\frac{x}{19.3} = 38.6\)[/tex] by 19.3, the equation becomes:
[tex]\[
x = 38.6 \times 19.3
\][/tex]
4. Calculate the Result: Now, we multiply 38.6 by 19.3 to find the value of [tex]\(x\)[/tex].
- Performing the multiplication:
[tex]\[
x = 38.6 \times 19.3 = 744.98
\][/tex]
5. Solution: The value of [tex]\(x\)[/tex] is 744.98.
Therefore, the correct procedure is to multiply both sides of the equation by 19.3, yielding the solution [tex]\(x = 744.98\)[/tex].
1. Understand the Equation: The equation given is [tex]\(\frac{x}{19.3} = 38.6\)[/tex]. This means that when [tex]\(x\)[/tex] is divided by 19.3, the result is 38.6.
2. Isolate [tex]\(x\)[/tex]: To solve for [tex]\(x\)[/tex], we want to isolate it on one side of the equation. To do this, we can eliminate the division by 19.3 by performing the same operation (multiplication) on both sides of the equation.
3. Multiply Both Sides by 19.3: This step will help us get rid of the fraction. If we multiply both sides of [tex]\(\frac{x}{19.3} = 38.6\)[/tex] by 19.3, the equation becomes:
[tex]\[
x = 38.6 \times 19.3
\][/tex]
4. Calculate the Result: Now, we multiply 38.6 by 19.3 to find the value of [tex]\(x\)[/tex].
- Performing the multiplication:
[tex]\[
x = 38.6 \times 19.3 = 744.98
\][/tex]
5. Solution: The value of [tex]\(x\)[/tex] is 744.98.
Therefore, the correct procedure is to multiply both sides of the equation by 19.3, yielding the solution [tex]\(x = 744.98\)[/tex].
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