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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+4y=\frac{-229}{60}\\-4x=5y+\frac{-199}{240}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-2y=\frac{89}{19}\\-6x+y=\frac{-130}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{29}{21}-3x\\-6x+y=\frac{247}{42}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{145}{24}+2x\\x+5y=\frac{103}{24}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x-4y=\frac{77}{8}\\-x=-4y+\frac{-9}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{1}{2}+x\\-5x+5y=\frac{-55}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{447}{95}-6x\\-x-4y=\frac{31}{190}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x+2y=\frac{17}{20}\\x=-2y+\frac{-1}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}y=\frac{-243}{130}+5x\\6x-2y=\frac{203}{65}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-y=\frac{49}{10}\\-5x+4y=-8\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{-643}{260}-x\\-4x-2y=\frac{73}{65}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{-27}{7}+x\\2x+6y=\frac{-58}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+4y=\frac{-229}{60}\\-4x=5y+\frac{-199}{240}\end{matrix}\right.\qquad V=\{(\frac{16}{15},\frac{-11}{16})\}\)
2. \(\left\{\begin{matrix}3x-2y=\frac{89}{19}\\-6x+y=\frac{-130}{19}\end{matrix}\right.\qquad V=\{(1,\frac{-16}{19})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{29}{21}-3x\\-6x+y=\frac{247}{42}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{-11}{14})\}\)
4. \(\left\{\begin{matrix}3y=\frac{145}{24}+2x\\x+5y=\frac{103}{24}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{9}{8})\}\)
5. \(\left\{\begin{matrix}-3x-4y=\frac{77}{8}\\-x=-4y+\frac{-9}{8}\end{matrix}\right.\qquad V=\{(\frac{-17}{8},\frac{-13}{16})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{1}{2}+x\\-5x+5y=\frac{-55}{8}\end{matrix}\right.\qquad V=\{(1,\frac{-3}{8})\}\)
7. \(\left\{\begin{matrix}6y=\frac{447}{95}-6x\\-x-4y=\frac{31}{190}\end{matrix}\right.\qquad V=\{(\frac{11}{10},\frac{-6}{19})\}\)
8. \(\left\{\begin{matrix}3x+2y=\frac{17}{20}\\x=-2y+\frac{-1}{4}\end{matrix}\right.\qquad V=\{(\frac{11}{20},\frac{-2}{5})\}\)
9. \(\left\{\begin{matrix}y=\frac{-243}{130}+5x\\6x-2y=\frac{203}{65}\end{matrix}\right.\qquad V=\{(\frac{2}{13},\frac{-11}{10})\}\)
10. \(\left\{\begin{matrix}-6x-y=\frac{49}{10}\\-5x+4y=-8\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-5}{2})\}\)
11. \(\left\{\begin{matrix}2y=\frac{-643}{260}-x\\-4x-2y=\frac{73}{65}\end{matrix}\right.\qquad V=\{(\frac{9}{20},\frac{-19}{13})\}\)
12. \(\left\{\begin{matrix}y=\frac{-27}{7}+x\\2x+6y=\frac{-58}{7}\end{matrix}\right.\qquad V=\{(\frac{13}{7},-2)\}\)