The given pair of linear equations is
3x + 2y = 14 or 3x + 2y – 14 = 0
and x – 4y = – 14 or x – 4y + 14 = 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 = 2 and c1 = – 14
and a2 = 1, b2 = – 4 and c2 = 14
The lines representing the given pair of linear equations will intersect at a point.
Here, the lines intersecting at point B i.e. (2,4)
Hence, the unique solution is x = 2 and y = 4.