Question

x a + y b =2,ax- by =a 2 - b2.​

Answer 1

Step-by-step explanation:

+

b

y

=2;ax−by=a

2

−b

2

a

x

+

b

y

=2

⇒ay+bx=2ab _________ (1)

ax−by=a

2

−b

2

_______ (2)

From (1) & (2)

Multiply (1) by 'a' (2) by 'b'

abx+a

2

y=2a

2

b

abx−b

2

y=ba

2

−b

3

- + -

________________________________

y(a

2

+b

2

)=2a

2

−ba

2

+b

3

⇒y(a

2

+b

2

)=a

2

b+b

3

⇒y=b [put in equation - 1]

We get

ay+bx=2ab

⇒a(b)+bx=2ab

⇒bx=2ab−ab

⇒bx=ab

⇒x=ab/b

⇒x=a

Answer 2

Step-by-step explanation:

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