Question

(h) Solve for the respective values of x and y:
17/x+19/y=18 and 16/x+14/y=15.
(1) 1,2 (2) 2, 1 (3) 2, 2
(4) 3,3 (5) None of these​

Answer 1

Step-by-step explanation:

Let the 1/x be A

and 1/y be B

THEN,

17A+19B=18...............(1)

16A+14B=15...............(2)

1st we added eq(1)and eq(2)

23(A+B)=23

SO,(A+B)=1................(3)

Now we subtract the eq(1)and eq(2)

A+5B=3............(4)

NOW,WE SUBTRACT THE EQ(3) AND EQ(4)

A+B-A-5B=-2

=-4B= -2

=B=1/2

PUT THE VALUE OF B IN EQ(1)

A+B=1

A=1-1/2

A=1/2

NOW,

B=1/2

1/X=1/2

X=2

A=1/2

1/y=1/2

Y=2

ANS..............