X+y =a-b,ax-by=a2+b2substitution method
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x + y = a - b
x = a - b - y ...(i)
ax - by = a^2 + b^2
Put (i):
a^2 - ab - ay = a^2 + b^2
=> -y ( a + b ) = b ( a + b )
=> y = -b
x = a - b + b
=> x = a
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