Question

Solve x+y=a+b,ax-by=a2-b2

Answer 1

Hi there here's your answer

Hope it helps

Answer 2

Answer:

The solution of the equations is x=a and y=b.

Step-by-step explanation:

Given : Equations $x+y=a+b$ and $ax-by=a^2-b^2$

To find : Solve the equations ?

Solution :

Let $x+y=a+b$ .......(1)

and $ax-by=a^2-b^2$ ......(2)

Substitute x from (1) in equation (2),

$a(a+b-y)-by=a^2-b^2$

$a^2+ab-ay-by=a^2-b^2$

$ab-ay-by=-b^2$

$ab-y(a+b)=-b^2$

$y(a+b)=ab+b^2$

$y(a+b)=b(a+b)$

$y=b$

Substitute y in equation (1),

$x+b=a+b$

$x=a+b-b$

$x=a$

Therefore, The solution of the equations is x=a and y=b.