Q) Solve the following pair of linear equations:

ax + by = c 

bx + ay = 1 + c

Ans: 

Given the equations:

a x + b y = c ….. (i)
b x + a y = 1 + c ….. (ii)

Let’s multiply equation (i) with a and equation (ii) with b and we get:

a2 x + ab y = a c ….. (iii)
b2 x + ab y = b + b c ….. (iv)

Let’s subtract equation (iv) from equation (iii), we get:

a² x – b² x  = ac – b – b c

∴ x (a² – b² ) = c (a – b) – b

Let’s put   in equation (i), we get:

Therefore,

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