Question

Directions: Find the value of x

PLS HELP QUICK

Answer 1

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.