The given pair of linear equations is
2x – 3y + 13 = 0
and 3x – 2y + 12 = 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 = 13
and a2 = 3, b2 = – 2 and c2 = 12
The lines representing the given pair of linear equations will intersect at a point.
Here, the lines intersecting at point B i.e. ( – 2,3)
Hence, the unique solution is x = – 2 and y = 3.