Question

1/x+1/y=1/4 and 1/x-1/y=3/4 = then x =
A)1/4
B)1/2
C)1
D 2
E) 4​

Answer 1

Step-by-step explanation:

let 1÷x=p and 1÷y=q ,

then,

p+q=1÷4 ... eq. (1)

p-q=3÷4... eq.(2)

multiplying by 4 in both eq.

then,

elemeting any variable,

we get

8q= -2

then

q= -1÷4

then substitute q in eq. (1)

4p+4q=1

4p+4× -1÷4=1

then we get,

p=1÷2

p=1÷x

so, x=2