Question

What values of the variable cannot possibly be solutions for the given equation, without actually solving the equation?


`(6)/(3x + 2) - (1)/(x - 4) = 0`
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.​

Answer 1

the solution to the equation is 8. Any value apart from 8 is not a solution

Explanation:

Given the equation

6/3x+2 - 1/x-4 = 0

6/3x+2 = 1/x-4

Cross multiply

6(x-4) = 3x+2

6x - 24 = 3x+2

6x-3x = 2 + 24

3x = 24

x = 24/3

x = 8

Hence the solution to the equation is 8. Any value apart from 8 is not a solution