math help pls.

Question

e) Solve and show how to check the answer.

Answer 1

e)

Rewrite the expression with common denominator.

Apply cross product.

By using zero product property : If AB = 0 then A = 0 ; B = 0.

( x + 2 ) = 0   and  ( 3x - 8 ) = 0

x = - 2    and   3x = 8

x = - 2    and   x = 8/3

Solution : x = - 2 , 8/3.

 

Answer checking :

Substitute x = -2

Answer x = -2 is verified.

 

Substitute x = 8/3

Answer x = 8/3 is verified.