Solve for c
\left\{\begin{matrix}\\c=0\text{, }&\text{unconditionally}\\c\in \mathrm{R}\text{, }&p=\frac{5}{t}\text{ and }t\neq 0\end{matrix}\right.
Solve for p
\left\{\begin{matrix}p=\frac{5}{t}\text{, }&t\neq 0\\p\in \mathrm{R}\text{, }&c=0\end{matrix}\right.
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5c-ptc=0
Subtract ptc from both sides.
-cpt+5c=0
Reorder the terms.
\left(-pt+5\right)c=0
Combine all terms containing c.
\left(5-pt\right)c=0
The equation is in standard form.
c=0
Divide 0 by 5-pt.
ptc=5c
Swap sides so that all variable terms are on the left hand side.
ctp=5c
The equation is in standard form.
\frac{ctp}{ct}=\frac{5c}{ct}
Divide both sides by tc.
p=\frac{5c}{ct}
Dividing by tc undoes the multiplication by tc.
p=\frac{5}{t}
Divide 5c by tc.
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