Question

Solve p/-1+ 17 = 13 for p.

Answer 1

Answer: 208

Step-by-step explanation:

$\frac{p}{-1+17} =13$

$\frac{p}{16} =13$

$(16)\frac{p}{16} =13(16)$

$p=13*16$

$p=208$

Answer 2

$\large\displaystyle\text{ \begin{gathered}\sf \frac{p}{-1}+17=13 \end{gathered} }$

$\large\displaystyle\text{ \begin{gathered}\sf \bf{Apply \ the \ properties \ of \ fractions: \frac{a}{-b}=-\frac{a}{b}. } \end{gathered} }$

$\large\displaystyle\text{ \begin{gathered}\sf \bf{=-\frac{P}{1} } \end{gathered} }$

$\large\displaystyle\text{ \begin{gathered}\sf \bf{Apply\:the\:rule \:\frac{a}{1}=a} \end{gathered} }$

• $\large\displaystyle\text{ \begin{gathered}\sf \bf{=-P} \end{gathered} }$

• $\large\displaystyle\text{ \begin{gathered}\sf \bf{-P+17=13} \end{gathered} }$

$\large\displaystyle\text{ \begin{gathered}\sf \bf{Subtract \ 17 \ from \ both \ sides. } \end{gathered} }$

• $\large\displaystyle\text{ \begin{gathered}\sf \bf{-P+17-17=13-17} \end{gathered} }$

$\large\displaystyle\text{ \begin{gathered}\sf \bf{Simplify } \end{gathered} }$

• $\large\displaystyle\text{ \begin{gathered}\sf \bf{-P=-4} \end{gathered} }$

$\large\displaystyle\text{ \begin{gathered}\sf \bf{Divide\:both\:sides\:by\:-1} \end{gathered} }$

• $\large\displaystyle\text{ \begin{gathered}\sf \bf{\frac{-p}{1}=\frac{-4}{-1} } \end{gathered} }$

$\large\displaystyle\text{ \begin{gathered}\sf \bf{Simplify } \end{gathered} }$

• $\boxed{\large\displaystyle\text{ \begin{gathered}\sf \bf{P=4} \end{gathered} }}$