The given pair of linear equations is
2x – 3y = 1 or 2x – 3y – 1 = 0
and 3x – 4y = 1 or 3x – 4y – 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 = 2, b1 = – 3 and c1 = – 1
and a2 = 3, b2 = – 4 and c2 = – 1
The lines representing the given pair of linear equations will intersect at a point.
Here, the lines intersecting at point C i.e. ( – 1, – 1)
Hence, the unique solution is x = – 1 and y = – 1.