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

Answer:

R =  $\frac{xy}{y+x}$

Step-by-step explanation:

Given rational equation in the question as:

$\frac{1}{R}=\frac{1}{x}+\frac{1}{y}$

To solve:

R as a single rational expression

Now considering the equation

⇒ $\frac{1}{R}=\frac{1}{x}+\frac{1}{y}$

or

⇒ $\frac{1}{R}=\frac{y+x}{xy}$

or

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

R =  $\frac{xy}{y+x}$