Question

solve 1/x-3 +1/x-7=1/x-1 + 1/x-9

Answer 1

Here is ur answer frnd....

Answer 2

Answer:

The value of x is 5.

Step-by-step explanation:

The given equation is

$\frac{1}{x-3}+\frac{1}{x-7}=\frac{1}{x-1}+\frac{1}{x-9}$

$\frac{x-7+x-3}{(x-3)(x-7)}=\frac{x-9+x-1}{(x-1)(x-9)}$

$\frac{2x-10}{(x^2-10x+21}=\frac{2x-10}{(x^2-10x+9}$

$(2x-10)(x^2-10x+9)=(2x-10)(x^2-10x+21)$

$(2x-10)(x^2-10x)+(2x-10)9=(2x-10)(x^2-10x)+(2x-10)21$

$18x-90=42x-210$

$24x=120$

$x=5$

Therefore value of x is 5.