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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-y=\frac{115}{51}\\6x=-3y+\frac{-88}{17}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-4y=\frac{28}{5}\\4x+y=\frac{18}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+6y=\frac{419}{60}\\3x+3y=\frac{149}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-4y=\frac{-293}{42}\\4x=-5y+\frac{-19}{21}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-3y=\frac{-230}{17}\\-x=-y+\frac{145}{51}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-4y=\frac{-53}{66}\\2x=4y+\frac{-307}{33}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+y=\frac{182}{33}\\-5x+4y=\frac{244}{33}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+3y=\frac{16}{95}\\-4x+y=\frac{92}{285}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{-123}{20}-6x\\4x+y=\frac{-24}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{-676}{63}+5x\\-4x-2y=\frac{-286}{63}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+2y=\frac{15}{11}\\-3x=-y+\frac{51}{22}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+4y=\frac{47}{44}\\-x+3y=\frac{71}{44}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-y=\frac{115}{51}\\6x=-3y+\frac{-88}{17}\end{matrix}\right.\qquad V=\{(\frac{-9}{17},\frac{-2}{3})\}\)
2. \(\left\{\begin{matrix}4x-4y=\frac{28}{5}\\4x+y=\frac{18}{5}\end{matrix}\right.\qquad V=\{(1,\frac{-2}{5})\}\)
3. \(\left\{\begin{matrix}x+6y=\frac{419}{60}\\3x+3y=\frac{149}{20}\end{matrix}\right.\qquad V=\{(\frac{19}{12},\frac{9}{10})\}\)
4. \(\left\{\begin{matrix}x-4y=\frac{-293}{42}\\4x=-5y+\frac{-19}{21}\end{matrix}\right.\qquad V=\{(\frac{-11}{6},\frac{9}{7})\}\)
5. \(\left\{\begin{matrix}6x-3y=\frac{-230}{17}\\-x=-y+\frac{145}{51}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{20}{17})\}\)
6. \(\left\{\begin{matrix}-x-4y=\frac{-53}{66}\\2x=4y+\frac{-307}{33}\end{matrix}\right.\qquad V=\{(\frac{-17}{6},\frac{10}{11})\}\)
7. \(\left\{\begin{matrix}-4x+y=\frac{182}{33}\\-5x+4y=\frac{244}{33}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{2}{11})\}\)
8. \(\left\{\begin{matrix}-6x+3y=\frac{16}{95}\\-4x+y=\frac{92}{285}\end{matrix}\right.\qquad V=\{(\frac{-2}{15},\frac{-4}{19})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{-123}{20}-6x\\4x+y=\frac{-24}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{-3}{10})\}\)
10. \(\left\{\begin{matrix}y=\frac{-676}{63}+5x\\-4x-2y=\frac{-286}{63}\end{matrix}\right.\qquad V=\{(\frac{13}{7},\frac{-13}{9})\}\)
11. \(\left\{\begin{matrix}6x+2y=\frac{15}{11}\\-3x=-y+\frac{51}{22}\end{matrix}\right.\qquad V=\{(\frac{-3}{11},\frac{3}{2})\}\)
12. \(\left\{\begin{matrix}3x+4y=\frac{47}{44}\\-x+3y=\frac{71}{44}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{5}{11})\}\)