The variables $p$ and $r$ are related by $p=\dfrac{3r+2}{4r-1}$, where $r\ne\dfrac14$. Calcu

Question

The variables $p$ and $r$ are related by $p=\dfrac{3r+2}{4r-1}$, where $r\ne\dfrac14$. Calculate $p$ when $r=\dfrac12$. Make $r$ the subject of the formula, stating the value of $p$ that must be excluded.

Accepted Answer

(a) $p=\dfrac72$. (b) $r=\dfrac{p+2}{4p-3}$, where $p\ne\dfrac34$; the original formula requires $r\ne\dfrac14$.

Evaluating and rearranging a rational formula

Evaluating and rearranging a rational formula

Solution:

Solution locked