Question

4x+6/y=15 and6x+8/y=14​

Answer 1

Answer:

(4xy+6)/y=15

4xy+6=15y

15y-4xy=6...........(1)

(6xy+8)/y=14

6xy+8=14y

14y-6xy=8.............(2)

Now multiply 6 in (1) and 4 in (2)

90y-24xy=36..............(3)

56y-24xy=32..............(4)

Now subtract (3)-(4)

34xy=4

xy=4/34=2/17

Now putting xy value in (1)

15y-4×2/17=6

15y=6+8/17

15y=(102+8)/17

15y=110/17

y=22/51

As we know,

xy=2/17

x×22/51=2/17

x=2/17×51/22

x=3/11