Question

2y - x =4xy and 4/y - 3/x =9 find x , y

Answer 1

Answer:

$\huge \bold \red{ \rm \: ANSWER}$

$\bold \red{ \rm \: given \: equations \: are \: = }$

$2y - x = 4xy......i$

$\frac{4}{y} - \frac{3}{x} = 9.....ii$

let's solve the 2nd equation.....

$\frac{4}{y} - \frac{3}{x} = 9$

$\frac{4x - 3y}{xy} = 9xy$

$4x - 3y = 9xy...ii$

now let's solve both the equations....

i and ii

-x +2y=4xy

4x-3y=9xy......1

to subtract we must make atleast I coffiecient to be equal...so let's make x to be equal....

so -x+2y=4xy is multiplied by 4

4(-x+2y=4xy)

-4x+8y=16xy....2

let's subtract now.....1 and 2

4x-3y=9xy

-4x+8y=16xy

+ + +

__________

5y=25xy

y=25xy/5

=> y=5xy

=> 1/5=xy/y

1/5=x/y

so.... therefore....x=1

and y =5

Answer 2

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Hᴇʀᴇ x=1

ʏ=5

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