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Answer :
To solve the equation [tex]\(\frac{x}{19.3} = 38.6\)[/tex], we'll follow these steps:
1. Identify the operation: The equation involves division, where [tex]\(x\)[/tex] is divided by 19.3.
2. Undo the division: To isolate [tex]\(x\)[/tex], perform the opposite operation, which is multiplication. Multiply both sides of the equation by 19.3 to cancel out the division on the left side.
[tex]\[
19.3 \times \frac{x}{19.3} = 38.6 \times 19.3
\][/tex]
3. Simplify the equation: On the left side, multiplying by 19.3 cancels with the division, leaving:
[tex]\[
x = 38.6 \times 19.3
\][/tex]
4. Calculate the result: Multiply 38.6 by 19.3 to find the value of [tex]\(x\)[/tex].
[tex]\[
x = 744.98
\][/tex]
Therefore, the solution is that [tex]\(x = 744.98\)[/tex]. The correct procedure is to multiply both sides of the equation by 19.3, and the solution is 744.98.
1. Identify the operation: The equation involves division, where [tex]\(x\)[/tex] is divided by 19.3.
2. Undo the division: To isolate [tex]\(x\)[/tex], perform the opposite operation, which is multiplication. Multiply both sides of the equation by 19.3 to cancel out the division on the left side.
[tex]\[
19.3 \times \frac{x}{19.3} = 38.6 \times 19.3
\][/tex]
3. Simplify the equation: On the left side, multiplying by 19.3 cancels with the division, leaving:
[tex]\[
x = 38.6 \times 19.3
\][/tex]
4. Calculate the result: Multiply 38.6 by 19.3 to find the value of [tex]\(x\)[/tex].
[tex]\[
x = 744.98
\][/tex]
Therefore, the solution is that [tex]\(x = 744.98\)[/tex]. The correct procedure is to multiply both sides of the equation by 19.3, and the solution is 744.98.
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