Question

The co-ordinates of the point of intersection of lines ax + by = 9 and bx + ay = 5 is (3, –1). Find the values of a and b.

Answer 1

Point of intersection will satisfy both the equations.

3a – b = 9   ...(1) × 3

3b – a = 5  ....(2)

– 3b + 9a = 27

`(3b - a = 5)/(8a = 32)`

a = 4

On putting value of a in equation (2)

3b – 4 = 5

3b = 9

b = 3