Question

Find x and y
b/a x+a/b y=a2+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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Answer 2

Answer:

The value of x is $x=a*b$ and value of y is $y=a*b$

Step-by-step explanation:

• In the question it is given that
  $\frac{b}{a} * x + \frac{a}{b} * y =a^2+b^2$
  $x+y = 2*a*b$
• On solving the above equation by simultaneous linear method we get
  $\frac{b}{a} * x + \frac{a}{b} * y =a^2+b^2 * (1)$
  $x+y = 2*a*b *(\frac{b}{a} )$
• On furthur solving we get
  $\frac{b}{a} * x + \frac{a}{b} * y =a^2+b^2$
• $\frac{b}{a} * x + \frac{b}{a} * y = 2 *b^2$
• On substracting the above 2 equations we get
  $y*(a^2-b^2)= a*b*(a^2-b^2)\\y=a*b$
• On putting the value of y in any of the above equation we are getting the value of x as
  $x=a*b$
• Hence the value of x is $x=a*b$ and value of y is $y=a*b$
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