Question

Rewrite each equation as a system of equations excluding the value(s) of xx that lead to a denominator of zero. Then, solve the equation for xx.

a. 25x=1/x
b. 1/5x=10

Answer 1

a.x=1/5

b.x=1/50

Explanation:

a.

Given data in the question:-

`25x=1/x`

To find the value of x.

Solution:-

`25x=1/x\\25x^2=1\\x^2=1/25\\x=√(1/25)\\ x=1/5`

b.

Given data in the question:-

`1/5x=10`

We have to find the value of x.

Solution:-

`1/5x=10\\1/(5*10)=x\\1/50=x`