Solution


Here we have \(2x= 2y +1\)

or \(y = x -0.5.\)

This is equation of a straight line on a two dimensional plane all the points that lie on the line satisfy the equation.


A) \(x > y\) For all the points on the line x is > y as \(y = x -0.5.\)
B) \(x < y\) Not true as option A is true
C) \(x = y\) Not true as option A is true
D) \(x = y + 1\) x > y so for no values of x and y this will hold. In terms is geometry \(x = y + 1\) is a line parallel to \(y = x -0.5.\)
E) \(9x + 12y = 36\) Holds true as there is one point that exist as solution of \(y = x -0.5.\) and \(9x + 12y = 36\).


Hence options A and E holds true