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.

Question

asked Oct 21, 2020 157k views

1 Answer

Mashea · Answer 1 · 2020-10-27T20:17:10+0000

Answer:

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)