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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+2y=\frac{-149}{11}\\2x-5y=\frac{290}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x-6y=\frac{-235}{13}\\6x+4y=\frac{-970}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{-59}{6}+3x\\-4x+y=\frac{-23}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-2y=\frac{76}{91}\\-x-4y=\frac{-408}{91}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{-103}{18}-4x\\-4x+y=\frac{107}{36}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{-5}{2}-x\\-2x+4y=-1\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-6y=\frac{67}{15}\\-x=-5y+\frac{32}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{-257}{40}-2x\\-x+y=\frac{129}{80}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+6y=\frac{-115}{13}\\-x=-4y+\frac{25}{39}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-5y=\frac{-183}{55}\\-3x=-y+\frac{219}{220}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-5y=\frac{33}{13}\\-3x-y=\frac{-31}{26}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+5y=\frac{61}{14}\\-x+4y=\frac{-12}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+2y=\frac{-149}{11}\\2x-5y=\frac{290}{11}\end{matrix}\right.\qquad V=\{(15,\frac{8}{11})\}\)
2. \(\left\{\begin{matrix}x-6y=\frac{-235}{13}\\6x+4y=\frac{-970}{13}\end{matrix}\right.\qquad V=\{(-13,\frac{11}{13})\}\)
3. \(\left\{\begin{matrix}2y=\frac{-59}{6}+3x\\-4x+y=\frac{-23}{9}\end{matrix}\right.\qquad V=\{(\frac{-17}{18},\frac{-19}{3})\}\)
4. \(\left\{\begin{matrix}-3x-2y=\frac{76}{91}\\-x-4y=\frac{-408}{91}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},\frac{10}{7})\}\)
5. \(\left\{\begin{matrix}-2y=\frac{-103}{18}-4x\\-4x+y=\frac{107}{36}\end{matrix}\right.\qquad V=\{(\frac{-1}{18},\frac{11}{4})\}\)
6. \(\left\{\begin{matrix}2y=\frac{-5}{2}-x\\-2x+4y=-1\end{matrix}\right.\qquad V=\{(-1,\frac{-3}{4})\}\)
7. \(\left\{\begin{matrix}-5x-6y=\frac{67}{15}\\-x=-5y+\frac{32}{15}\end{matrix}\right.\qquad V=\{(\frac{-17}{15},\frac{1}{5})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{-257}{40}-2x\\-x+y=\frac{129}{80}\end{matrix}\right.\qquad V=\{(\frac{-13}{16},\frac{4}{5})\}\)
9. \(\left\{\begin{matrix}6x+6y=\frac{-115}{13}\\-x=-4y+\frac{25}{39}\end{matrix}\right.\qquad V=\{(\frac{-17}{13},\frac{-1}{6})\}\)
10. \(\left\{\begin{matrix}4x-5y=\frac{-183}{55}\\-3x=-y+\frac{219}{220}\end{matrix}\right.\qquad V=\{(\frac{-3}{20},\frac{6}{11})\}\)
11. \(\left\{\begin{matrix}2x-5y=\frac{33}{13}\\-3x-y=\frac{-31}{26}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-4}{13})\}\)
12. \(\left\{\begin{matrix}2x+5y=\frac{61}{14}\\-x+4y=\frac{-12}{7}\end{matrix}\right.\qquad V=\{(2,\frac{1}{14})\}\)