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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{433}{36}+5x\\x+y=\frac{-139}{72}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-3y=-3\\-5x+y=\frac{63}{8}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{407}{170}+5x\\-x-6y=\frac{362}{85}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=\frac{14}{17}-2x\\-x-5y=\frac{11}{17}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x+5y=\frac{-101}{8}\\-2x-y=\frac{-47}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+3y=\frac{19}{4}\\x+4y=\frac{26}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{21}{8}+x\\-5x-3y=\frac{431}{16}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+4y=\frac{316}{55}\\3x=-y+\frac{24}{55}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+y=\frac{-118}{285}\\-3x-4y=\frac{-338}{285}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-5y=\frac{332}{15}\\-4x=-y+\frac{4}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-5y=\frac{205}{36}\\-x-y=\frac{41}{36}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+2y=\frac{-35}{17}\\-x-6y=\frac{42}{17}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{433}{36}+5x\\x+y=\frac{-139}{72}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{-19}{8})\}\)
2. \(\left\{\begin{matrix}4x-3y=-3\\-5x+y=\frac{63}{8}\end{matrix}\right.\qquad V=\{(\frac{-15}{8},\frac{-3}{2})\}\)
3. \(\left\{\begin{matrix}-3y=\frac{407}{170}+5x\\-x-6y=\frac{362}{85}\end{matrix}\right.\qquad V=\{(\frac{-1}{17},\frac{-7}{10})\}\)
4. \(\left\{\begin{matrix}6y=\frac{14}{17}-2x\\-x-5y=\frac{11}{17}\end{matrix}\right.\qquad V=\{(2,\frac{-9}{17})\}\)
5. \(\left\{\begin{matrix}-5x+5y=\frac{-101}{8}\\-2x-y=\frac{-47}{20}\end{matrix}\right.\qquad V=\{(\frac{13}{8},\frac{-9}{10})\}\)
6. \(\left\{\begin{matrix}5x+3y=\frac{19}{4}\\x+4y=\frac{26}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{5}{4})\}\)
7. \(\left\{\begin{matrix}2y=\frac{21}{8}+x\\-5x-3y=\frac{431}{16}\end{matrix}\right.\qquad V=\{(\frac{-19}{4},\frac{-17}{16})\}\)
8. \(\left\{\begin{matrix}2x+4y=\frac{316}{55}\\3x=-y+\frac{24}{55}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{18}{11})\}\)
9. \(\left\{\begin{matrix}3x+y=\frac{-118}{285}\\-3x-4y=\frac{-338}{285}\end{matrix}\right.\qquad V=\{(\frac{-6}{19},\frac{8}{15})\}\)
10. \(\left\{\begin{matrix}-2x-5y=\frac{332}{15}\\-4x=-y+\frac{4}{15}\end{matrix}\right.\qquad V=\{(\frac{-16}{15},-4)\}\)
11. \(\left\{\begin{matrix}-5x-5y=\frac{205}{36}\\-x-y=\frac{41}{36}\end{matrix}\right.\qquad V=\{(\frac{-13}{12},\frac{-1}{18})\}\)
12. \(\left\{\begin{matrix}-2x+2y=\frac{-35}{17}\\-x-6y=\frac{42}{17}\end{matrix}\right.\qquad V=\{(\frac{9}{17},\frac{-1}{2})\}\)