Answer: the correct option is
(b) 0.
Step-by-step explanation: We are given to find the number of solutions for the following linear equation :
![9x-16=9x-23~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)](https://tex.z-dn.net/?f=9x-16%3D9x-23~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%28i%29)
To find the number of solutions of the given equation, we must try to solve the equation and find the value of x.
From equation (i), we have
![9x-16=9x-23\\\\\Rightarrow 9x-9x=-23+16\\\\\Rightarrow 0=-7,](https://tex.z-dn.net/?f=9x-16%3D9x-23%5C%5C%5C%5C%5CRightarrow%209x-9x%3D-23%2B16%5C%5C%5C%5C%5CRightarrow%200%3D-7%2C)
which can never be possible.
Thus, the given equation has NO solution.
Option (b) is CORRECT.