Question

Solve 2/√x+3/√y=2,4/√x-9/√y=-1

Answer 1

Step-by-step explanation:

let 1/√x=a

1/√y=b

we can rewrite the eqns as

2a+3b=2..........eqn1

4a+9b=-1............eqn2

to cancel out Or eliminate "a" terms multiply eqn1 by 2

we get,

2(2a+3b=2)

4a+6b=4

now subtract the eqns

4a+6b=4

4a+9b=-1

_______

0a-3b=5

therefore b=-5/3

substuite b=-5/3 in eqn1

2a+3(-5/3)=2

2a-5=2

a=7/2

now w. k. t.,,

1/√x=a

1/√x=7/2

2/7=√x

4/49=x

1/√y=b

1/√y=-5/3

√y=-3/5

y=9/25

therefore (x, y) =(4/49, 9/25)

hope this helps u!