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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+y=\frac{-51}{10}\\-4x=4y+\frac{-31}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-y=\frac{-23}{24}\\3x=5y+\frac{-283}{24}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+3y=\frac{631}{77}\\x-6y=\frac{-415}{77}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3y=\frac{-117}{16}-3x\\6x+y=\frac{-5}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{131}{9}+x\\-5x+4y=\frac{-101}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+2y=\frac{7}{33}\\6x=-4y+\frac{-394}{33}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+2y=\frac{56}{45}\\-x+4y=\frac{349}{90}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{-140}{9}+5x\\2x-y=\frac{38}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+2y=\frac{-287}{102}\\5x=-y+\frac{-671}{204}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-2y=\frac{-382}{95}\\2x+y=\frac{366}{95}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-5y=\frac{-9}{4}\\-3x-y=\frac{-9}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-3y=\frac{-25}{4}\\-3x=6y+\frac{-47}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+y=\frac{-51}{10}\\-4x=4y+\frac{-31}{5}\end{matrix}\right.\qquad V=\{(\frac{19}{20},\frac{3}{5})\}\)
2. \(\left\{\begin{matrix}-3x-y=\frac{-23}{24}\\3x=5y+\frac{-283}{24}\end{matrix}\right.\qquad V=\{(\frac{-7}{18},\frac{17}{8})\}\)
3. \(\left\{\begin{matrix}-4x+3y=\frac{631}{77}\\x-6y=\frac{-415}{77}\end{matrix}\right.\qquad V=\{(\frac{-11}{7},\frac{7}{11})\}\)
4. \(\left\{\begin{matrix}-3y=\frac{-117}{16}-3x\\6x+y=\frac{-5}{8}\end{matrix}\right.\qquad V=\{(\frac{-7}{16},2)\}\)
5. \(\left\{\begin{matrix}-4y=\frac{131}{9}+x\\-5x+4y=\frac{-101}{9}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},\frac{-7}{2})\}\)
6. \(\left\{\begin{matrix}-x+2y=\frac{7}{33}\\6x=-4y+\frac{-394}{33}\end{matrix}\right.\qquad V=\{(\frac{-17}{11},\frac{-2}{3})\}\)
7. \(\left\{\begin{matrix}2x+2y=\frac{56}{45}\\-x+4y=\frac{349}{90}\end{matrix}\right.\qquad V=\{(\frac{-5}{18},\frac{9}{10})\}\)
8. \(\left\{\begin{matrix}5y=\frac{-140}{9}+5x\\2x-y=\frac{38}{9}\end{matrix}\right.\qquad V=\{(\frac{10}{9},-2)\}\)
9. \(\left\{\begin{matrix}6x+2y=\frac{-287}{102}\\5x=-y+\frac{-671}{204}\end{matrix}\right.\qquad V=\{(\frac{-16}{17},\frac{17}{12})\}\)
10. \(\left\{\begin{matrix}3x-2y=\frac{-382}{95}\\2x+y=\frac{366}{95}\end{matrix}\right.\qquad V=\{(\frac{10}{19},\frac{14}{5})\}\)
11. \(\left\{\begin{matrix}3x-5y=\frac{-9}{4}\\-3x-y=\frac{-9}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{3}{4})\}\)
12. \(\left\{\begin{matrix}-x-3y=\frac{-25}{4}\\-3x=6y+\frac{-47}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{7}{3})\}\)