Question

8/N 610
Solve the following questions (Any one) :
)
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

ax+by=9....... eqn.1

bx+ay=5........eqn.2

x=3;y=-1

therefore,

3a+(-1b)=9

3b+(-1a)=5

3a-b=9.....eqn 3

3b-a=5.....eqn 4

multiplying eqn 3 by 3

9a-3b=27....eqn 5

Adding eqn 4 and 5

9a-3b+(3b-a) =27+5

8a=32

a=4