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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{57}{13}+x\\-6x-4y=\frac{-100}{13}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{-89}{3}-2x\\-x-5y=\frac{82}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-2y=\frac{-9}{5}\\x-2y=\frac{-4}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+4y=\frac{-104}{57}\\-x=y+\frac{83}{57}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{-127}{40}-2x\\-4x-y=\frac{1}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{-155}{28}-6x\\-2x-y=\frac{517}{112}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-4y=\frac{92}{9}\\-5x+4y=\frac{-28}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-2y=\frac{178}{11}\\-5x-y=\frac{134}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-4y=\frac{-313}{30}\\4x+y=\frac{122}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-5y=\frac{389}{102}\\-x+2y=\frac{-443}{306}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-3y=\frac{-87}{44}\\x=-y+\frac{-37}{44}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=19+4x\\-2x+y=\frac{5}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{57}{13}+x\\-6x-4y=\frac{-100}{13}\end{matrix}\right.\qquad V=\{(\frac{8}{13},1)\}\)
2. \(\left\{\begin{matrix}-5y=\frac{-89}{3}-2x\\-x-5y=\frac{82}{3}\end{matrix}\right.\qquad V=\{(-19,\frac{-5}{3})\}\)
3. \(\left\{\begin{matrix}2x-2y=\frac{-9}{5}\\x-2y=\frac{-4}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{-1}{10})\}\)
4. \(\left\{\begin{matrix}-2x+4y=\frac{-104}{57}\\-x=y+\frac{83}{57}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-15}{19})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{-127}{40}-2x\\-4x-y=\frac{1}{20}\end{matrix}\right.\qquad V=\{(\frac{-3}{16},\frac{7}{10})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{-155}{28}-6x\\-2x-y=\frac{517}{112}\end{matrix}\right.\qquad V=\{(\frac{-12}{7},\frac{-19}{16})\}\)
7. \(\left\{\begin{matrix}x-4y=\frac{92}{9}\\-5x+4y=\frac{-28}{9}\end{matrix}\right.\qquad V=\{(\frac{-16}{9},-3)\}\)
8. \(\left\{\begin{matrix}-5x-2y=\frac{178}{11}\\-5x-y=\frac{134}{11}\end{matrix}\right.\qquad V=\{(\frac{-18}{11},-4)\}\)
9. \(\left\{\begin{matrix}-3x-4y=\frac{-313}{30}\\4x+y=\frac{122}{15}\end{matrix}\right.\qquad V=\{(\frac{17}{10},\frac{4}{3})\}\)
10. \(\left\{\begin{matrix}3x-5y=\frac{389}{102}\\-x+2y=\frac{-443}{306}\end{matrix}\right.\qquad V=\{(\frac{7}{18},\frac{-9}{17})\}\)
11. \(\left\{\begin{matrix}3x-3y=\frac{-87}{44}\\x=-y+\frac{-37}{44}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-1}{11})\}\)
12. \(\left\{\begin{matrix}-2y=19+4x\\-2x+y=\frac{5}{2}\end{matrix}\right.\qquad V=\{(-3,\frac{-7}{2})\}\)