Question

$find \: the \: value \: of \: x \: and \: y \: \\ \sqrt{2}x - \sqrt{3}y = 0 \\ \sqrt{5}x + \sqrt{2}y = 0$
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Answer 1

Given : -

√2 x - √3 y = 0

√5 x + √2 y = 0

To find : -

value of x

Solution : -

√2 x - √3 y = 0 ..........(1 )

√5 x + √2 y = 0,..........(2)

eq 1 multiply by 2

√4x - √ 6y = 0 ..........(3)

eq 2 multiple by 3

√15x + √6y = 0........... (4)

add eq (3) and (4)

⠀√4x - √ 6y = 0

+ √15x + √6y = 0

--------------------------------

2x + √15x = 0

x = 0 / 2√15

X = 0

put value x = 0 in equation (1)

√2(0)-√3y = 0

y = 0 / √3

y = 0

x = 0 and y = 0