Question

Consider the rational equation 1/R=(1/x)+(1/y).Solve this equation for R, and write R as a single rational expression in lowest terms.

Answer 1

R =
`(xy)/(y+x)`

Explanation:

Given rational equation in the question as:

`(1)/(R)=(1)/(x)+(1)/(y)`

To solve:

R as a single rational expression

Now considering the equation

⇒
`(1)/(R)=(1)/(x)+(1)/(y)`

or

⇒
`(1)/(R)=(y+x)/(xy)`

or

⇒ on rearranging the above equation to find the value of R as a single rational expression, we get

R =
`(xy)/(y+x)`