Question

(i)
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

Answer:

a=4, b=3

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Since, The co-ordinates of the point of intersection of lines ax + by = 9 and

bx + ay = 5 is (3, -1).

therefore, (x,y) = (3,-1)

x= 3, y= -1

therefore, 3a - b = 9. -------. eqn. 1

- a + 3b = 5. -------- eqn. 2

add both the equations.....

3a - b - a + 3b = 9 + 5

2a + 2b = 14

dividing the whole eqn by 2....

a + b = 7 ------- eqn 3

subtract both the equations...

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

3a - b + a - 3b = 4

4a - 4b = 4

dividing the whole eqn by 4.....

a - b = 1 -----. eqn 4

add eqn 3 and eqn 4....

a + b + a - b = 7 + 1

2a = 8

a = 4

substitute the value of a in eqn 4...

a - b = 1

4 - b = 1

b = 4 - 1 = 3

b = 3

therefore, a= 4, b = 3.