[tex]\qquad\qquad\displaystyle \huge Answer[/tex]
Let's check if (3 , 6) is the point of intersection of the given lines ~
[tex] \qquad \displaystyle \: y = 4x - 2[/tex]
and
[tex] \qquad \displaystyle \: y = \frac{1}{2} x + 5[/tex]
If the point is the point of intersection of these two lines, then it should satisfy both the equations ~
let's try each of them, using x coordinate of point.
[tex] \qquad \displaystyle \: y = 4(3) - 2[/tex]
[tex] \qquad \displaystyle \: y = 12 - 2[/tex]
[tex] \qquad \displaystyle \: y = 10[/tex]
So, the point didn't actually satisfy one of the equation. hence we can infer that the given statement is wrong.
