Answer: The correct option is (B) 6.
Step-by-step explanation: We are given to select the x co-ordinate of the point of intersection of the following lines.
[tex]3x+5y=78~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\2x-y=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
To find the x co-ordinate of the point of intersection, we need to solve the given system of equation to find the point of intersection.
From equation (ii), we have
[tex]2x=y\\\\\Rightarrow y=2x~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]
Substituting the value of y from equation (iii) in equation (i), we get
[tex]3x+5(2x)=78\\\\\Rightarrow 3x+10x=78\\\\\Rightarrow 13x=78\\\\\Rightarrow x=\dfrac{78}{13}\\\\\Rightarrow x=6.[/tex]
Thus, the x co-ordinate of the point of intersection of the given lines is 6.
Option (B) is CORRECT.
