Solve the following pair of linear equation for x and y: b/a x + a/b y = a2+b2and x + y = 2ab
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Solution for x and y.
bx / a ay / b = a2 + b2 ----- eq 1
x+y = 2ab ------- eq 2
from eq1 ----- b2x + a2 ab = a2 + b2
→ b2 x a2y = a3 b - a2y
→ b2 (x-ab) = a2 (ab - y)
from eq2 ----- b2 (x - x/2 + y/2)
= a2 (x/2 + y/2 - y)
→ b2 ( x/2 - y/2) = a2 (x/2 + y/2)
→ b2 x - b2y = a2x - a2y
→ x = y --------
put the value of x in eq2 ----- 2y = 2ab.
y=ab=x
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