Question

If 3 / x + 8 = 4 / 6 - x and x = - k / 2, then find the value of k

Answer 1

$\textbf{- ANSWER -}$

Given,

3/(x + 8) = 4/(6 - x)

or, 3 (6 - x) = 4 (x + 8)

or, 18 - 3x = 4x + 32

or, 4x + 3x = 18 - 32

or, 7x = - 14

or, x = - 14/7

or, - k/2 = - 14/7, since x = - k/2

or, k/2 = 2

or, k = 2 × 2

or, k = 4

Therefore, the value of k is $\textbf{4}$.

#$\textbf{MarkAsBrainliest}$

Answer 2

Heya !!!



Given that X = -K/2 -------(1)


And,



3/ X +8 = 4/6 - X




3/ X + 8 = 4 / 6 - X



3 ( 6 - X) = 4 ( X+8)




18 - 3X = 4X + 32




4X + 3X = 18 -32





7X = -14


X = -14/7




X = -2


-K /2 = -2 [ From (1) ]






- K = -4

K = 4.





HOPE IT WILL HELP YOU...... :-)