Question

Solve ax + by = a-b and bx – ay = a+b

Answer 1

Answer: x=1 y=1

Explanation:

ax+by=a−b .......... (1)

bx−ay=a+b .......... (2)

Multiply equation (1) with a and equation (2) with b ,

a

2

x+aby=a

2

−ab ..........(3)

b

2

x−aby=ab+b

2

......... (4)

Adding (3) and (4), we get,

(a

2

+b

2

)x=a

2

+b

2

⇒x=1

Now, from (1),

ax+by=a−b

a+by=a−b

by=−b

y=−1