Question

4x +6/y =15 and 6x - 8/y = 14

Answer 1

Hey!!!!

We have

=> 4x + 6/y = 15

and

=> 6x - 8/y = 14

Let 1/y = a

Thus equations become

=> (4x + 6a = 15)3
and
=> (6x - 8a = 14)2

Now the equations become

=> 12x + 18a = 45
and
=> 12x - 16a = 28

Subtract the second from first

=> 12x + 18a - (12x - 16a) = 45 - 28
=> 34a = 17
=> a = 1/2
Thus
=> y = 2

Using y in any equation

=> 4x + 6/2 = 15

=> 4x = 12

=> x = 3

Hope this helps ✌️

Answer 2

heyy dear !!

..solution:

▶to find x and y

◼By method of elimination:

4x+6/y=15.....1)

6x-8/y=14...... 2)

on multiplying eq .1) by 6 and eq.2) by 4 we have:

24x+36/y=90
24x-32/y=56

on solving both we have :

36/y+32/y=34
(36+32)/y=34
34y=68

y=2

on putting value of y in eq.1) we have:

4x=12
x=3

x=3,y=2

hope it helps✌✴