\(\textbf{c)}\:\:\)Riješi sustav linearnih jednadžbi
  \begin{equation*}  \begin{cases}\frac{3y-x-5}{5}=y-x-1\\ \frac{1-x}{5}-\frac{1-2y}{6})=\frac 12\end{cases}\end{equation*}

 

Množiti da eliminiramo razlomke i srediti

\begin{equation*}  \begin{cases}\frac{3y-x-5}{5}=y-x-1/\cdot 5\\ \frac{1-x}{5}-\frac{1-2y}{6})=\frac 12/\cdot 30\end{cases}\end{equation*}

\begin{equation*}  \begin{cases}3y-x-5=5(y-x-1)\\ 6(1-x)-5(1-2y)=15\end{cases}\end{equation*}

\begin{equation*}  \begin{cases}3y-x-5=5y-5x-5\\ 6-6x-5+10y=30\end{cases}\end{equation*}

\begin{equation*}  \begin{cases}4x-2y=0\\ -6x+10y=14\end{cases}\end{equation*}

Dobili smo standardni sustav. Samo odaberite metodu. Rješenje je: \(\color{red}{(1,\:2)}\)

Ostali se rade na isti način.