Question

The coordinates of the point of intersection of lines ax+by=9 and bx+ay=5 is (3,-1) Find the value of a and b

Answer 1

Answer:

hence, a = 4 and b = 3

Step-by-step explanation:

given equations are :

ax + by = 9..........(1)

bx + ay = 5 .........(2)

as given, (3, -1) is the point of intersection in equation.

so, (3,-1) will satisfy both of given equations.

put (3,-1) in equation (1),

3a - b = 9 ........(3)

put (3,-1) in equation (2),

3b - a = 5......... (4)

multiplying 3 with equation (3) and then adding equation (4),

3(3a - b)+ (3b - a) = 3 × 9 + 5

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

8a = 32

a = 4 , put it in equation (3)

3(4) - b = 9

12-b=9

-b=9-12

b=3

hence, a = 4 and b = 3

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