Question

The value of x obtained on solving the following equations m/x-n/y=a and m/x+n/y=b
a. a+b/2m
b. 2m/a+b
c. a+b/2n
d. 2n/a+b

Answer 1

The required 'option b) $\dfrac{2m}{a+b}$' is correct.

Step-by-step explanation:

The given equations are:

$\dfrac{m}{x} -\dfrac{n}{y} =a$                    ...... (1)

and, $\dfrac{m}{x} +\dfrac{n}{y} =b$            ...... (2)

To find, the value of x = ?

Adding equations (1) and (2), we get

$\dfrac{m}{x} -\dfrac{n}{y} +\dfrac{m}{x} +\dfrac{n}{y}$ = a + b

⇒ $\dfrac{m}{x} +\dfrac{m}{x}=a+b$

⇒ $\dfrac{m+m}{x}=a+b$

⇒ $\dfrac{2m}{x}=a+b$

⇒ $x=\dfrac{2m}{a+b}$

∴ The value of $x=\dfrac{2m}{a+b}$

Thus, the required 'option b) $\dfrac{2m}{a+b}$' is correct.

Answer 2

Answer:

The required 'option b) \dfrac{2m}{a+b}a+b2m ' is correct.