The given pair of linear equations is
3x + y = 2 or 3x + y – 2 = 0
and 6x + 2y = 1 or 6x + 2y – 1 = 0
On comparing the given equations with standard form of pair of linear equations i.e. a1 x + b1y + c1 = 0 and a2 x + b2y + c2 = 0, we get
a1 = 3, b1 = 1 and c1 = – 2
and a2 = 6, b2 = 2 and c2 = – 1
The lines representing the given pair of linear equations are parallel.