Odpowiedź:
[tex]1)\\\\A=3\ \ i\ \ B=3,5\\\\\\\begin{cases}6x-2y=7\\Ax+y=B\end{cases}\\\\\\\begin{cases}6x-2y=7\\3x+y=3,5\ \ /\cdot2\end{cases}\\\\\\+\begin{cases}6x-2y=7\\6x+2y=7\end{cases}\\--------\\12x=14\ \ /:12\\\\x=\frac{14}{12}\\\\x=\frac{7}{6}\\\\Uklad\ \ r\'owna\'n\ \ posiada\ \ rozwiazanie\ \ jest\ \ to\ \ uklad\ \ r\'owna\'n\ \ oznaczony\\\\ZDANIE\ \ JEST\ \ PRAWDZIWE[/tex]
[tex]2)\\\\A=-3\ \ i\ \ B=7\\\\\\\begin{cases}6x-2y=7\\Ax+y=B\end{cases}\\\\\\\begin{cases}6x-2y=7\\-3x+y=7\ \ /\cdot2\end{cases}\\\\\\+\begin{cases}6x-2y=7\\-6x+2y=14\end{cases}\\---------\\0=21\\\\Uklad\ \ r\'owna\'n\ \ sprzeczny\\\\ZDANIE\ \ JEST\ \ FALSZYWE[/tex]
[tex]3)\\\\A=-3\ \ i\ \ B=3,5\\\\\\\begin{cases}6x-2y=7\\Ax+y=B\end{cases}\\\\\\\begin{cases}6x-2y=7\\-3x+y=3,5\ \ /\cdot2\end{cases}\\\\\\+\begin{cases}6x-2y=7\\-6x+2y=7\end{cases}\\---------\\0=14\\\\Uklad\ \ r\'owna\'n\ \ sprzeczny\\\\ZDANIE\ \ JEST\ \ PRAWDZIWE[/tex]
