Is there any x for which 2x 34x 6 2 If so determine such

Is there any x for which 2x + 3/4x + 6 = 2? If so determine such value. If not explain why such x-value doesn\'t exist.

Solution

Solution:

(2x+3)/(4x+6) =2 ... (A)

Multiply (4x+6) on both side

2x+3 = 8x+12

6x = -9

x = -3/2

Now if we plug x = -3/2 into the left side of equation A

we get 0/0 form therefore

x = -3/2 is not solution of the given equaition A

therefore there no any value of x exist

Answer: