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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=-10-4x\\5x-y=\frac{-35}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+y=\frac{13}{19}\\-6x+6y=\frac{150}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{263}{9}-5x\\5x+6y=\frac{104}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+2y=\frac{-415}{221}\\x+3y=\frac{-529}{221}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-2y=\frac{-25}{133}\\5x=-y+\frac{-659}{266}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-4y=\frac{-95}{4}\\4x+y=2\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-y=\frac{-22}{5}\\5x=-4y+\frac{44}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+5y=\frac{-100}{9}\\-x=6y+3\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{-132}{17}+4x\\-5x-y=\frac{-737}{68}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{16}{5}+6x\\-x+4y=\frac{37}{10}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+6y=\frac{-47}{17}\\x-y=\frac{-13}{102}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-4y=-6\\6x+y=-2\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=-10-4x\\5x-y=\frac{-35}{2}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{5}{6})\}\)
2. \(\left\{\begin{matrix}x+y=\frac{13}{19}\\-6x+6y=\frac{150}{19}\end{matrix}\right.\qquad V=\{(\frac{-6}{19},1)\}\)
3. \(\left\{\begin{matrix}-y=\frac{263}{9}-5x\\5x+6y=\frac{104}{3}\end{matrix}\right.\qquad V=\{(6,\frac{7}{9})\}\)
4. \(\left\{\begin{matrix}-3x+2y=\frac{-415}{221}\\x+3y=\frac{-529}{221}\end{matrix}\right.\qquad V=\{(\frac{1}{13},\frac{-14}{17})\}\)
5. \(\left\{\begin{matrix}-2x-2y=\frac{-25}{133}\\5x=-y+\frac{-659}{266}\end{matrix}\right.\qquad V=\{(\frac{-9}{14},\frac{14}{19})\}\)
6. \(\left\{\begin{matrix}5x-4y=\frac{-95}{4}\\4x+y=2\end{matrix}\right.\qquad V=\{(\frac{-3}{4},5)\}\)
7. \(\left\{\begin{matrix}-4x-y=\frac{-22}{5}\\5x=-4y+\frac{44}{5}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{6}{5})\}\)
8. \(\left\{\begin{matrix}6x+5y=\frac{-100}{9}\\-x=6y+3\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-2}{9})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{-132}{17}+4x\\-5x-y=\frac{-737}{68}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{-7}{17})\}\)
10. \(\left\{\begin{matrix}5y=\frac{16}{5}+6x\\-x+4y=\frac{37}{10}\end{matrix}\right.\qquad V=\{(\frac{3}{10},1)\}\)
11. \(\left\{\begin{matrix}6x+6y=\frac{-47}{17}\\x-y=\frac{-13}{102}\end{matrix}\right.\qquad V=\{(\frac{-5}{17},\frac{-1}{6})\}\)
12. \(\left\{\begin{matrix}-3x-4y=-6\\6x+y=-2\end{matrix}\right.\qquad V=\{(\frac{-2}{3},2)\}\)