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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-3y=\frac{-143}{18}\\x-y=\frac{-47}{18}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=\frac{-787}{10}-4x\\-3x+y=\frac{1213}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x+2y=\frac{-7}{24}\\-x-y=\frac{11}{24}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-2y=\frac{129}{22}\\4x=-y+\frac{403}{44}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+3y=\frac{777}{65}\\x+y=\frac{-79}{65}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-6y=\frac{-822}{85}\\-4x+y=\frac{-373}{85}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-4y=-51\\-5x=-y+\frac{-165}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{-228}{143}-6x\\6x+y=\frac{-558}{143}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=\frac{-369}{55}+x\\5x-2y=\frac{81}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+5y=\frac{-3}{4}\\-x+4y=\frac{-97}{20}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-6y=-13\\-x-5y=\frac{-79}{12}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{-387}{119}-3x\\3x-y=\frac{-891}{119}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-3y=\frac{-143}{18}\\x-y=\frac{-47}{18}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{5}{2})\}\)
2. \(\left\{\begin{matrix}2y=\frac{-787}{10}-4x\\-3x+y=\frac{1213}{20}\end{matrix}\right.\qquad V=\{(-20,\frac{13}{20})\}\)
3. \(\left\{\begin{matrix}-3x+2y=\frac{-7}{24}\\-x-y=\frac{11}{24}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{-1}{3})\}\)
4. \(\left\{\begin{matrix}6x-2y=\frac{129}{22}\\4x=-y+\frac{403}{44}\end{matrix}\right.\qquad V=\{(\frac{19}{11},\frac{9}{4})\}\)
5. \(\left\{\begin{matrix}-3x+3y=\frac{777}{65}\\x+y=\frac{-79}{65}\end{matrix}\right.\qquad V=\{(\frac{-13}{5},\frac{18}{13})\}\)
6. \(\left\{\begin{matrix}-6x-6y=\frac{-822}{85}\\-4x+y=\frac{-373}{85}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{7}{17})\}\)
7. \(\left\{\begin{matrix}-4x-4y=-51\\-5x=-y+\frac{-165}{4}\end{matrix}\right.\qquad V=\{(9,\frac{15}{4})\}\)
8. \(\left\{\begin{matrix}6y=\frac{-228}{143}-6x\\6x+y=\frac{-558}{143}\end{matrix}\right.\qquad V=\{(\frac{-8}{11},\frac{6}{13})\}\)
9. \(\left\{\begin{matrix}-6y=\frac{-369}{55}+x\\5x-2y=\frac{81}{11}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{9}{11})\}\)
10. \(\left\{\begin{matrix}5x+5y=\frac{-3}{4}\\-x+4y=\frac{-97}{20}\end{matrix}\right.\qquad V=\{(\frac{17}{20},-1)\}\)
11. \(\left\{\begin{matrix}-3x-6y=-13\\-x-5y=\frac{-79}{12}\end{matrix}\right.\qquad V=\{(\frac{17}{6},\frac{3}{4})\}\)
12. \(\left\{\begin{matrix}3y=\frac{-387}{119}-3x\\3x-y=\frac{-891}{119}\end{matrix}\right.\qquad V=\{(\frac{-15}{7},\frac{18}{17})\}\)