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Question

Solve for x and y:
xa+yb=2; axby=a2b2

Solution
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Given equations are
xa+yb=2;axby=a2b2
xa+yb=2
ay+bx=2ab _________ (1)
axby=a2b2 _______ (2)
From (1) & (2)
Multiply (1) by 'a' (2) by 'b'
abx+a2y=2a2b
abxb2y=ba2b3
- + -
________________________________
y(a2+b2)=2a2ba2+b3
y(a2+b2)=a2b+b3
y=b [put in equation - 1]
We get
ay+bx=2ab
a(b)+bx=2ab
bx=2abab
bx=ab
x=ab/b
x=a

1201461_1407897_ans_228338072ef94074b93949f78924d3ad.jpg

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