Question

the coordinates of the point of intersection of lines AX + B Y = 9 and b x + A Y =5 is (3,-1) find the values of a and b​

Answer 1

given,

AX+BY=9

A(3)+B(-1)=9

3A-B=9........(2)......x1

BX+AY=5

3B-A=5.......(1)....x3

solving 1 and 2

3A-B=9

-3A+9B=15

8B=24

B=24/8

B=3

substituting B=3 in (1)

3A-B=9

3A-3=9

3A=12

A=4