Question

x-y=2a
ax+by=a^2+b^2

Answer 1

Step-by-step explanation:

x=2a+y ______(1)

ax + by = a^2 + b^2 _____(2)

substituting value of x in equation 2

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

2a^2+ay+by=a^2+b^2

a^2 - b^2 = - (ay+by) ______(3)

combining equation (1) and (3)

a^2 - b^2 + a^2 + b^2 = ax + by - ay - by

2a^2 = a (x-y)

2a^2 / a = x-y

2a = x-y

OR

a = x-y / 2