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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x+3y=\frac{-385}{114}\\-6x=y+\frac{-100}{19}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{-211}{19}+x\\3x-2y=\frac{424}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x-6y=\frac{-29}{8}\\-6x-y=\frac{61}{80}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{-167}{21}+x\\-6x+5y=\frac{-113}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{-17}{10}-2x\\2x-y=\frac{-41}{30}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+4y=\frac{17}{2}\\-6x=-6y+6\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{-63}{20}+3x\\3x+y=\frac{111}{40}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{29}{2}-3x\\5x+y=\frac{-3}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+2y=\frac{262}{19}\\-6x=y+\frac{667}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{392}{57}+5x\\2x+3y=\frac{-188}{57}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{284}{55}-3x\\-x-2y=\frac{162}{55}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+6y=-10\\x=2y+\frac{20}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x+3y=\frac{-385}{114}\\-6x=y+\frac{-100}{19}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{5}{19})\}\)
2. \(\left\{\begin{matrix}y=\frac{-211}{19}+x\\3x-2y=\frac{424}{19}\end{matrix}\right.\qquad V=\{(\frac{2}{19},-11)\}\)
3. \(\left\{\begin{matrix}5x-6y=\frac{-29}{8}\\-6x-y=\frac{61}{80}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{7}{16})\}\)
4. \(\left\{\begin{matrix}3y=\frac{-167}{21}+x\\-6x+5y=\frac{-113}{7}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-17}{7})\}\)
5. \(\left\{\begin{matrix}-3y=\frac{-17}{10}-2x\\2x-y=\frac{-41}{30}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{1}{6})\}\)
6. \(\left\{\begin{matrix}-x+4y=\frac{17}{2}\\-6x=-6y+6\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{5}{2})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{-63}{20}+3x\\3x+y=\frac{111}{40}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{3}{8})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{29}{2}-3x\\5x+y=\frac{-3}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-13}{4})\}\)
9. \(\left\{\begin{matrix}-2x+2y=\frac{262}{19}\\-6x=y+\frac{667}{19}\end{matrix}\right.\qquad V=\{(-6,\frac{17}{19})\}\)
10. \(\left\{\begin{matrix}-y=\frac{392}{57}+5x\\2x+3y=\frac{-188}{57}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-4}{19})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{284}{55}-3x\\-x-2y=\frac{162}{55}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-14}{11})\}\)
12. \(\left\{\begin{matrix}2x+6y=-10\\x=2y+\frac{20}{9}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-13}{9})\}\)