find x and y
if x/a+y/b=2, ax-by=a^2-b^2
with step by step explanation.
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Answer: x=a
Step-by-step explanation:
=x/a + y/b=2 , ax - by=a^2-b^2
=x/a + y/b = 2
=ay + x b=2ab
=ax - by=a^2 - b^2
=from 1 and 2
=multiply 1 by "a" 2 by "b"
=abx + a^2y=2a^2b
=abx - b^2y=ba - b^3
----------------------------------
=y(a^2 + b^2)=2a^2b - ba^2 + b^3
=y(a^2 + b^2)=a^2b+b^3
=y(a^2+b^2)=b(a^2+b^2)
=y=b [put in ------1]
We get
=ay + xb=2ab
=a(b) + xb=2ab
=xb=2ab - ab
=x= ab/b
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