Solve any one of the folliowing subquestions:n The coordinates of the

1.	Solve any one of the folliowing subquestions:n The coordinates of the point of intersection of the lines ax-by-7 and bx + ay = 5 is (3,1) Find the values ofand b
Answer» Given equations are : ax + by = 7..........(1)bx + ay = 5 .........(2) according to question, (3,1) is the point of intersection of given equations. so, (3,1) will satisfy both of given equations. put (3,1) in equation (1), 3a + b = 7 ........(3) put (3,1) in equation (2), 3b + a = 5......... (4) multiplying 3 with equation (3) and then subtracting equation (4), 3(3a + b) - (3b + a) = 3 × 7 - 5 9a + 3b - 3b - a = 21 - 5 8a = 16 => a = 2 , put it in equation (3) b = 7 - 3a = 7 - 6 = 1 hence, a = 2 and b = 1

Solve any one of the folliowing subquestions:n The coordinates of the point of intersection of the lines ax-by-7 and bx + ay = 5 is (3,1) Find the values ofand b

Answer»

Given equations are : ax + by = 7..........(1)bx + ay = 5 .........(2)

according to question, (3,1) is the point of intersection of given equations. so, (3,1) will satisfy both of given equations.

put (3,1) in equation (1), 3a + b = 7 ........(3)

put (3,1) in equation (2), 3b + a = 5......... (4)

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

3(3a + b) - (3b + a) = 3 × 7 - 5

9a + 3b - 3b - a = 21 - 5

8a = 16 => a = 2 , put it in equation (3)

b = 7 - 3a = 7 - 6 = 1

hence, a = 2 and b = 1