Question

How many solutions are there to this equation?

9x - 16 = 9x - 23
a. infinitely many
b. 0
c. 1

Answer 1

There are 0 solutions

Answer 2

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)`

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,`

which can never be possible.

Thus, the given equation has NO solution.

Option (b) is CORRECT.