Answer: The correct option is
(B) 1 solution.
Step-by-step explanation: We are given to find the number of solutions that the following equation has :
[tex]2x+3=4x+2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the number of solutions, we must try to solve the given equation first.
The solution of equation (i) is as follows :
[tex]2x+3=4x+2\\\\\Rightarrow 4x-2x=3-2\\\\\Rightarrow 2x=1\\\\\Rightarrow x=\dfrac{1}{2}.[/tex]
Since we can find only one value of x from the equation, so there will be only one solution.
Option (B) is CORRECT.
