Question

if x+4/y=4 and y+6/x=6, find x, y​

Answer 1

Answer:

Firstly from given condition we will make two equation in two variable in the form of x and y by solving them as given below》

$\frac{x + 4}{y} = 4 \\ \implies x + 4 = 4y \\ \implies x - 4y = - 4 \: \: \: \: \: \: \: .............(i)$

Also

$\frac{y + 6}{x} = 6 \\ \implies y + 6 = 6x \\ \implies 6x - y = 6 \: \: \: \: \: \: \: \: \: \: ..............(ii)$

Now, solving equation(¡) and equation(ii) simultaneously we get》

$x = \frac{28}{23} \: and \: y = \frac{30}{23}$

We can also verify our answer by putting these values of x and y in both equations .