Question

Solve for respective values of x and y :

15/x + 16/y =9 and 21/x + 20/y = 12

Answer 1

Answer:

(x,y)=(3,4)

Step-by-step explanation:

Replacing (1\x) by a & (1/y) by b, we get

15a+16b=9 (1)

21a+20b=12. (2)

On using Cramer's rule,

D=(-36)

Da=(-12)

Db=(-9)

a=Da\D=(-12)/(-36)

=12\36

[a=1\3]

b=Db/D=(-9)/(-36)

b=9/36

[b=1\4]

As we know,

a=1\x

1\3=1\x

x=3

We also know that,

b=1\y

1\4=1\y

y=4