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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+6y=\frac{-129}{112}\\-6x-y=\frac{-47}{56}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{-179}{60}+3x\\x-5y=\frac{-59}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+4y=\frac{-10}{143}\\3x=y+\frac{250}{143}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+6y=\frac{139}{10}\\-6x=-4y+\frac{83}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{143}{12}+3x\\-x-y=\frac{163}{36}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{-155}{6}+2x\\4x-y=\frac{13}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+y=\frac{-4}{11}\\-3x=2y+\frac{141}{11}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{135}{56}-3x\\x-3y=\frac{85}{56}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-y=\frac{700}{117}\\2x=-6y+\frac{-212}{39}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-y=\frac{-61}{63}\\6x-2y=\frac{286}{21}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+6y=\frac{-103}{7}\\-4x+y=\frac{-79}{21}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{41}{5}-2x\\-6x+y=\frac{-297}{20}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+6y=\frac{-129}{112}\\-6x-y=\frac{-47}{56}\end{matrix}\right.\qquad V=\{(\frac{3}{16},\frac{-2}{7})\}\)
2. \(\left\{\begin{matrix}-4y=\frac{-179}{60}+3x\\x-5y=\frac{-59}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{14}{15})\}\)
3. \(\left\{\begin{matrix}3x+4y=\frac{-10}{143}\\3x=y+\frac{250}{143}\end{matrix}\right.\qquad V=\{(\frac{6}{13},\frac{-4}{11})\}\)
4. \(\left\{\begin{matrix}x+6y=\frac{139}{10}\\-6x=-4y+\frac{83}{5}\end{matrix}\right.\qquad V=\{(\frac{-11}{10},\frac{5}{2})\}\)
5. \(\left\{\begin{matrix}3y=\frac{143}{12}+3x\\-x-y=\frac{163}{36}\end{matrix}\right.\qquad V=\{(\frac{-17}{4},\frac{-5}{18})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{-155}{6}+2x\\4x-y=\frac{13}{6}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{9}{2})\}\)
7. \(\left\{\begin{matrix}5x+y=\frac{-4}{11}\\-3x=2y+\frac{141}{11}\end{matrix}\right.\qquad V=\{(\frac{19}{11},-9)\}\)
8. \(\left\{\begin{matrix}-6y=\frac{135}{56}-3x\\x-3y=\frac{85}{56}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},\frac{-5}{7})\}\)
9. \(\left\{\begin{matrix}-4x-y=\frac{700}{117}\\2x=-6y+\frac{-212}{39}\end{matrix}\right.\qquad V=\{(\frac{-18}{13},\frac{-4}{9})\}\)
10. \(\left\{\begin{matrix}-2x-y=\frac{-61}{63}\\6x-2y=\frac{286}{21}\end{matrix}\right.\qquad V=\{(\frac{14}{9},\frac{-15}{7})\}\)
11. \(\left\{\begin{matrix}-2x+6y=\frac{-103}{7}\\-4x+y=\frac{-79}{21}\end{matrix}\right.\qquad V=\{(\frac{5}{14},\frac{-7}{3})\}\)
12. \(\left\{\begin{matrix}4y=\frac{41}{5}-2x\\-6x+y=\frac{-297}{20}\end{matrix}\right.\qquad V=\{(\frac{13}{5},\frac{3}{4})\}\)