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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-4y=\frac{30}{17}\\x-2y=\frac{-53}{17}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{-110}{51}-4x\\3x+y=\frac{-35}{153}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+6y=\frac{-477}{28}\\-2x=-y+\frac{-311}{56}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=\frac{27}{20}+3x\\-4x-y=\frac{-117}{20}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{-7}{6}-3x\\x-2y=\frac{1}{18}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-4y=\frac{-49}{117}\\x+5y=\frac{392}{117}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+4y=\frac{-141}{119}\\4x-2y=\frac{-312}{119}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+5y=\frac{343}{34}\\x+y=\frac{229}{68}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{-17}{3}+6x\\-x+4y=\frac{16}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+6y=\frac{-83}{5}\\x+y=\frac{-58}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{-14}{5}+2x\\-x+3y=\frac{-26}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+6y=\frac{777}{65}\\-5x=-y+\frac{42}{65}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-4y=\frac{30}{17}\\x-2y=\frac{-53}{17}\end{matrix}\right.\qquad V=\{(-1,\frac{18}{17})\}\)
2. \(\left\{\begin{matrix}3y=\frac{-110}{51}-4x\\3x+y=\frac{-35}{153}\end{matrix}\right.\qquad V=\{(\frac{5}{17},\frac{-10}{9})\}\)
3. \(\left\{\begin{matrix}-6x+6y=\frac{-477}{28}\\-2x=-y+\frac{-311}{56}\end{matrix}\right.\qquad V=\{(\frac{19}{7},\frac{-1}{8})\}\)
4. \(\left\{\begin{matrix}6y=\frac{27}{20}+3x\\-4x-y=\frac{-117}{20}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{17}{20})\}\)
5. \(\left\{\begin{matrix}-2y=\frac{-7}{6}-3x\\x-2y=\frac{1}{18}\end{matrix}\right.\qquad V=\{(\frac{-11}{18},\frac{-1}{3})\}\)
6. \(\left\{\begin{matrix}-5x-4y=\frac{-49}{117}\\x+5y=\frac{392}{117}\end{matrix}\right.\qquad V=\{(\frac{-7}{13},\frac{7}{9})\}\)
7. \(\left\{\begin{matrix}x+4y=\frac{-141}{119}\\4x-2y=\frac{-312}{119}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{-2}{17})\}\)
8. \(\left\{\begin{matrix}2x+5y=\frac{343}{34}\\x+y=\frac{229}{68}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{19}{17})\}\)
9. \(\left\{\begin{matrix}3y=\frac{-17}{3}+6x\\-x+4y=\frac{16}{9}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{7}{9})\}\)
10. \(\left\{\begin{matrix}3x+6y=\frac{-83}{5}\\x+y=\frac{-58}{15}\end{matrix}\right.\qquad V=\{(\frac{-11}{5},\frac{-5}{3})\}\)
11. \(\left\{\begin{matrix}2y=\frac{-14}{5}+2x\\-x+3y=\frac{-26}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-19}{10})\}\)
12. \(\left\{\begin{matrix}5x+6y=\frac{777}{65}\\-5x=-y+\frac{42}{65}\end{matrix}\right.\qquad V=\{(\frac{3}{13},\frac{9}{5})\}\)