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Solve the following pair of linear equations by substitution method.

$\sqrt{7} x + \sqrt{11} y = 0, \sqrt{3} x - \sqrt{5} y = 0$

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x = 0

and

y = 1

x = 0

and

y = 0

x = 0

and

y = 4

x = 2

and

y = 0

answer is B.

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Detailed Solution

Given equations are

\sqrt{7} x + \sqrt{11} y = 0

…………(1)

3 x − 5 y = 0

……………..(2)
To find variables x and y,
From equation (2),

3 x = 5 y

⇒ y = 3 x 5

………..(3)
Substituting

y = 3 x 5

in equation (1),

7 x + 11 35 x = 0 ⇒ 7 x + 335 x = 0 ⇒ 7 + 335 x = 0 ⇒ x = 0

Substituting the value of x, in equation (3)

y = 350 ⇒ y = 0

Therefore, the solution of above equations is

x = 0

and

= 0

.
Hence, the correct option is 2.

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