The given pair of linear equations is
3x + y – 11 = 0
and x – y – 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 = – 11
and a2 = 1, b2 = – 1 and c2 = – 1
The lines representing the given pair of linear equations will intersect at a point.
Now, table for 3x + y – 11 = 0 or y = 11 – 3x
Here, the lines intersecting at point B i.e. (3,2)
Hence, the unique solution is x = 3 and y = 2.