Given:
The given system of equations is
[tex]4x-y=2[/tex]
[tex]4x-y=5[/tex]
To find:
The solution of the given system of equations.
Solution:
We have,
[tex]4x-y=2[/tex] ...(i)
[tex]4x-y=5[/tex] ...(ii)
Left hand sides of both equations are equal. So, after equalization of (i) and (ii), we get
[tex]2=5[/tex]
This statement is false for any value of x and y. It means the given system of equation has no solution.
Therefore, the correct option is C.
