Question

convert the following equation in two simultaneous equations and solve under root x upon Y equal to 4 ,1 upon X + 1 upon Y equal to one upon X into Y​

Answer 1

The simultaneous equations are x - 16y = 0 and x + y = 1.

The solution of under root x upon Y equal to 4 ,1 upon X + 1 upon Y equal to one upon X into Y​ is y = 1/17 and x = 16/17.

Given,

√(x/y) = 4

1/x + 1/y = 1/xy

√(x/y) = 4

squaring on both sides, we get,

x/y = 4² = 16

x = 16y

x - 16y = 0 ............a

Now consider,

1/x + 1/y = 1/xy

(y + x) / xy = 1 / xy

x + y = 1 ............b

Equations a and b are the required simultaneous equations.

solving equations a and b, we get,

from (a), x - 16y = 0 ⇒ x = 16y

using this value of x in equation (b), we get,

y = 1/17

x = 16y

x = 16/17

Answer 2

ANS

TWO SIMULTANEOUS EQUATIONS ARE X -16Y= 0 AND X+Y=1