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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+3y=\frac{53}{14}\\-6x+y=\frac{-121}{14}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+3y=\frac{-67}{4}\\-x+3y=\frac{23}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+3y=\frac{5}{6}\\4x=y+\frac{-53}{90}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+6y=\frac{-47}{45}\\-x-y=\frac{29}{90}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+3y=\frac{434}{195}\\x+y=\frac{97}{195}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-2y=\frac{47}{12}\\x+y=\frac{-67}{120}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+5y=\frac{23}{18}\\-2x+y=\frac{67}{18}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-4y=\frac{62}{5}\\-x+y=\frac{-1}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-4y=\frac{848}{153}\\6x-y=\frac{329}{153}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-5y=\frac{-123}{26}\\-5x+4y=\frac{-218}{65}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{65}{12}-2x\\-4x+4y=\frac{-73}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+3y=\frac{-193}{18}\\-x-6y=\frac{95}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+3y=\frac{53}{14}\\-6x+y=\frac{-121}{14}\end{matrix}\right.\qquad V=\{(\frac{13}{7},\frac{5}{2})\}\)
2. \(\left\{\begin{matrix}5x+3y=\frac{-67}{4}\\-x+3y=\frac{23}{4}\end{matrix}\right.\qquad V=\{(\frac{-15}{4},\frac{2}{3})\}\)
3. \(\left\{\begin{matrix}-5x+3y=\frac{5}{6}\\4x=y+\frac{-53}{90}\end{matrix}\right.\qquad V=\{(\frac{-2}{15},\frac{1}{18})\}\)
4. \(\left\{\begin{matrix}2x+6y=\frac{-47}{45}\\-x-y=\frac{29}{90}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{-1}{10})\}\)
5. \(\left\{\begin{matrix}2x+3y=\frac{434}{195}\\x+y=\frac{97}{195}\end{matrix}\right.\qquad V=\{(\frac{-11}{15},\frac{16}{13})\}\)
6. \(\left\{\begin{matrix}-5x-2y=\frac{47}{12}\\x+y=\frac{-67}{120}\end{matrix}\right.\qquad V=\{(\frac{-14}{15},\frac{3}{8})\}\)
7. \(\left\{\begin{matrix}3x+5y=\frac{23}{18}\\-2x+y=\frac{67}{18}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{19}{18})\}\)
8. \(\left\{\begin{matrix}-4x-4y=\frac{62}{5}\\-x+y=\frac{-1}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-8}{5})\}\)
9. \(\left\{\begin{matrix}-2x-4y=\frac{848}{153}\\6x-y=\frac{329}{153}\end{matrix}\right.\qquad V=\{(\frac{2}{17},\frac{-13}{9})\}\)
10. \(\left\{\begin{matrix}-x-5y=\frac{-123}{26}\\-5x+4y=\frac{-218}{65}\end{matrix}\right.\qquad V=\{(\frac{16}{13},\frac{7}{10})\}\)
11. \(\left\{\begin{matrix}-y=\frac{65}{12}-2x\\-4x+4y=\frac{-73}{6}\end{matrix}\right.\qquad V=\{(\frac{19}{8},\frac{-2}{3})\}\)
12. \(\left\{\begin{matrix}4x+3y=\frac{-193}{18}\\-x-6y=\frac{95}{9}\end{matrix}\right.\qquad V=\{(\frac{-14}{9},\frac{-3}{2})\}\)