Question

(iv) √2x + √5y = 0, √6x + √15y = 0​

Answer 1

Answer:

All values of x and y are solutions of this equation.

Step-by-step explanation:

We have:

$\sqrt{2} x + \sqrt{5} y = 0 \: \: \: ...(1)$

$\sqrt{6} x + \sqrt{15} y = 0 \: \: \: ...(2)$

Multiply equation (1) by √3

$\sqrt{3} \sqrt{2} x + \sqrt{3} \sqrt{5} y = \sqrt{5} \times 0 \\ \sqrt{6} x + \sqrt{15} y = 0 \: \: \: ...(3)$

Notice that (3) and (2) are equivalent and (1) nad (3) are same. Thus, the two equations will have infinite solutions.