Question

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

Answer 1

Answer:

x = a and y = -b

Step-by-step explanation:

elimination method:

x-y=a+b

=> b(x-y)=b(a+b) [multiplying both sides by b]

=> bx-by=ab+b^2 ----(1)

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

-----------------------------------

ax+bx = ab+a^2

=> x(a+b) = a(a+b)

=> x = a(a+b)/(a+b)

=> x = a

putting x in (1),

x-y=a+b

=> a-y=a+b

=> y = a-a-b

=> y = -b