Question

solve the following system of equations by elimination method x+y=a-b
ax-by=a²+b² ​

Answer 1

Step-by-step explanation:

x+y=a-b

(x +y)²=(a-b)²

x²+y²+2xy=a²+b²-2ab

pta nhi yaar iskke baad

Answer 2

Step-by-step explanation:

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

Step-by-step explanation:

Given : Equations x+y=a+b and ax-by=a²-b²

Solution :

Let x+y=a+b first equestion

and ax-by=a²-b² second equestion

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

a(a+b-y)-by=a²-b²

a^2+ab-ay-by=a²-b²

ab-ay-by=-b²

ab-y(a+b)=-b²

y(a+b)=ab+b²

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.