Question

Solve the following pair of linear equations for the x and y
(b/a)x+(a/b)y= a +b2 ; x+y =2ab.​

Answer 1

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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