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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x+2y=\frac{-43}{10}\\4x+y=\frac{-83}{20}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-y=\frac{-444}{55}\\5x+5y=\frac{23}{33}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-6y=\frac{-371}{15}\\-3x+y=\frac{7}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-6y=51\\x-y=-8\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{-1}{2}+3x\\-2x-y=\frac{-11}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-3y=\frac{-115}{2}\\-3x-y=\frac{-86}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=\frac{11}{3}+5x\\-x-4y=\frac{-31}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+2y=\frac{287}{18}\\-3x=y+\frac{203}{18}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+2y=\frac{-7}{5}\\x=3y+0\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+5y=\frac{947}{255}\\-x-y=\frac{-67}{255}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{-334}{247}-6x\\-3x-y=\frac{167}{247}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{-635}{171}-x\\-5x+2y=\frac{115}{171}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x+2y=\frac{-43}{10}\\4x+y=\frac{-83}{20}\end{matrix}\right.\qquad V=\{(-1,\frac{-3}{20})\}\)
2. \(\left\{\begin{matrix}6x-y=\frac{-444}{55}\\5x+5y=\frac{23}{33}\end{matrix}\right.\qquad V=\{(\frac{-17}{15},\frac{14}{11})\}\)
3. \(\left\{\begin{matrix}-4x-6y=\frac{-371}{15}\\-3x+y=\frac{7}{10}\end{matrix}\right.\qquad V=\{(\frac{14}{15},\frac{7}{2})\}\)
4. \(\left\{\begin{matrix}-5x-6y=51\\x-y=-8\end{matrix}\right.\qquad V=\{(-9,-1)\}\)
5. \(\left\{\begin{matrix}-5y=\frac{-1}{2}+3x\\-2x-y=\frac{-11}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-4}{5})\}\)
6. \(\left\{\begin{matrix}-6x-3y=\frac{-115}{2}\\-3x-y=\frac{-86}{3}\end{matrix}\right.\qquad V=\{(\frac{19}{2},\frac{1}{6})\}\)
7. \(\left\{\begin{matrix}-5y=\frac{11}{3}+5x\\-x-4y=\frac{-31}{15}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{14}{15})\}\)
8. \(\left\{\begin{matrix}-5x+2y=\frac{287}{18}\\-3x=y+\frac{203}{18}\end{matrix}\right.\qquad V=\{(\frac{-7}{2},\frac{-7}{9})\}\)
9. \(\left\{\begin{matrix}-3x+2y=\frac{-7}{5}\\x=3y+0\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{1}{5})\}\)
10. \(\left\{\begin{matrix}-4x+5y=\frac{947}{255}\\-x-y=\frac{-67}{255}\end{matrix}\right.\qquad V=\{(\frac{-4}{15},\frac{9}{17})\}\)
11. \(\left\{\begin{matrix}2y=\frac{-334}{247}-6x\\-3x-y=\frac{167}{247}\end{matrix}\right.\qquad V=\{(\frac{4}{19},\frac{-17}{13})\}\)
12. \(\left\{\begin{matrix}3y=\frac{-635}{171}-x\\-5x+2y=\frac{115}{171}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},\frac{-20}{19})\}\)