Question

Solve the following equations:-
√3x + √2y = √3
√5x + √3y = √3

Answer 1

Hi ,

√3x - √2y = √3 -----( 1 )

√5x + √3y = √3 ----( 2 )

Do [ ( 1 ) × √5 - ( 2 ) × √3 ]


√15x - √10y = √15

√15x + 3 y = 3
_______________
-y( 3 + √10 ) = √15 - 3

Therefore ,

y = ( √15 - 3 )/[ -( 3 + √10 ) ]

y = ( 3 - √15 )/( 3 + √10 )

Do [ ( 1 ) × √3 + ( 2 ) × √2 ],

3x - √6 y = 3

√10 x + √6 y = √6
_________________

( 3 + √10 )x = 3 + √6

x = ( 3 + √6 )/( 3 + √10 )

Therefore ,

x = ( 3 + √6 )/( 3 + √10 ) ,

y = ( 3 - √15 )/( 3 + √10 )

I hope this helps you.

: )