# Solve the follow

(a+c) x - (a-c)y = 2ab … (i)
(a+b) x - (a-b)y = 2ab … (ii)
Multiplying (ii) by (a+c) and (i) by (a+b), and subtracting,
(a+b)(a+c) x - (a+b)(a-c)y = 2ab(a+b) … (iii)
(a+b)(a+c) x - (a-b)(a+c)y = 2ab(a+c) … (iv)
Subtracting (iii) and (iv)
-(a+b)(a-c)y + (a-b)(a+c)y = 2ab(a + b) – 2ab(a + c)
(-a 2 - ab+ ac+ bc+ a 2 + ac – ab – bc )y = 2ab(a + b – a – c)
-2a(b - c)y = 2ab(b - c)
y = -b;
Substituting y = -b in (i),

(a + c)x
(a-c)(-b) = 2ab;
(a+ c)x
= 2ab-ab+bc
= ab + bc
= b(a +c)
x = b
. . . The solution set is {b, -b}.

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