Answer:
R = [tex]\frac{xy}{y+x}[/tex]
Step-by-step explanation:
Given rational equation in the question as:
[tex]\frac{1}{R}=\frac{1}{x}+\frac{1}{y}[/tex]
To solve:
R as a single rational expression
Now considering the equation
⇒ [tex]\frac{1}{R}=\frac{1}{x}+\frac{1}{y}[/tex]
or
⇒ [tex]\frac{1}{R}=\frac{y+x}{xy}[/tex]
or
⇒ on rearranging the above equation to find the value of R as a single rational expression, we get
R = [tex]\frac{xy}{y+x}[/tex]
