Question

x+y = a+b , ax - by = a²- b² find the value of x and y​

Answer 1

Answer:

x=a,y=b

Step-by-step explanation:

Answer:

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

Answer 2

EXPLANATION.

⇒ x + y = a + b. - - - - - (1).

⇒ ax - by = a² - b². - - - - - (2).

As we know that,

From equation (1) and (2), we get.

Multiply equation (1) by b.

Multiply equation (2) by 1.

⇒ x + y = a + b. - - - - - (1). x b.

⇒ ax - by = a² - b². - - - - - (2). x 1.

We get,

⇒ bx + by = ab + b². - - - - - (3).

⇒ ax - by = a² - b². - - - - - (4).

Adding equation (3) & (4), we get.

⇒ bx + ax = ab + a².

⇒ x(b + a) = a(b + a).

⇒ x = a.

Put the value of x = a in the equation (1), we get.

⇒ x + y = a + b.

⇒ a + y = a + b.

⇒ y = b.

Values of x = a and y = b.