Question

solve for x and y:2x+5y÷xy= 6;4x-5y ÷xy=-3​

Answer 1

Answer:

x = 1 , y = 2

Solution:

Here,

The given equations are :

(2x + 5y)/xy = 6 ---------(1)

(4x - 5y)/xy = -3 ----------(2)

Eq-(1) can be rewritten as ;

=> (2x + 5y)/xy = 6

=> 2x/xy + 5y/xy = 6

=> 2/y + 5/x = 6 ----------(3)

Eq-(2) can be rewritten as ;

=> (4x - 5y)/xy = -3

=> 4x/xy - 5y/xy = -3

=> 4/y - 5/x = -3 ----------(4)

Now,

Adding eq-(3) and (4) , we get ;

=> 2/y + 5/x + 4/y - 5/x = 6 + (-3)

=> 2/y + 4/y = 6 - 3

=> (2 + 4)/y = 3

=> 6/y = 3

=> y/6 = 1/3

=> y = 6/3

=> y = 2

Now,

Putting y = 2 in eq-(3) , we get ;

=> 2/y + 5/x = 6

=> 2/2 + 5/x = 6

=> 1 + 5/x = 6

=> 5/x = 6 - 1

=> 5/x = 5

=> x/5 = 1/5

=> x = 5/5

=> x = 1

Hence, x = 1 , y = 2

Answer 2

All answers are right

Please mark as brainliest

Hope it helps you