The given pair of linear equations is
x + 3y = 5 or x + 3y – 5 = 0
and 2x – y = 3 or 2x – y – 3 = 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 = 1, b1 = 3 and c1 = – 5
and a2 = 2, b2 = – 1 and c2 = – 3
The lines representing the given pair of linear equations will intersect at a point.
Here, the lines intersecting at point C i.e. (2,1)
Hence, the unique solution is x = 2 and y = 1.