Question

(i)
If (3,-1) is the point of intersection of lines ax + by = 9 and bx + ay = 5.
Find the values of a and b.​

Answer 1

Answer:

a = 4

b = 3

Step-by-step explanation:

(3 , -1) is the point of intersection of lines ax + by = 9 and bx + ay = 5

It means that (3 , -1) is a solution of both the lines

putting x = 3 and y = -1 in both the equation

we have ,

equation 1 :- 3a - b = 9

equation 2 :- 3b - a = 5 or -a + 3b = 5

from equation (1)

3a - b = 9

b = 3a - 9

putting value of b in equation 2

-a + 3b = 5

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

-a + 9a - 27 = 5

8a = 5 + 27

8a = 32

a = 4

since we have

b = 3a - 9

b = 3 × 4 - 9

b = 12 - 9

b = 3

hope that this will help you