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Directions: Find the value of x

PLS HELP QUICK

Directions: Find the value of x PLS HELP QUICK-example-1

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x equals 24.5 in the equation
\( (7)/(x) = (6)/(27-6) \), which simplifies to
\( (7)/(x) = (2)/(7) \), leading to
\( x = (49)/(2) \).

To find the value of x in the given equation
\((7)/(x) = (6)/(27-6)\), you can follow these steps:

1. Simplify the expression on the right side of the equation:


\((6)/(27-6) = (6)/(21) = (2)/(7)\)

2. Now, the equation becomes
\((7)/(x) = (2)/(7)\).

3. Cross-multiply to solve for x:


\(7 * 7 = 2 * x\)

49 = 2x

4. Divide both sides by 2 to solve for x:


\(x = (49)/(2)\)

So, the value of x is
\((49)/(2)\) or 24.5.

Breaking down the equation
\( (7)/(x) = (6)/(27-6) \), simplification results in
\( (7)/(x) = (2)/(7) \). Upon cross-multiplication, we find
\( x = (49)/(2) \), equivalent to 24.5. This solution aligns with the initial equation, validating the accuracy of the obtained value for x.

User Bayrinat
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