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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+3y=\frac{9}{5}\\-x-5y=\frac{-35}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=19+4x\\-x-6y=-9\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{338}{95}+3x\\-5x+y=\frac{1481}{285}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{-23}{5}+2x\\-x-y=\frac{-29}{30}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{-65}{21}-3x\\x-y=\frac{-80}{21}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{82}{11}-3x\\-x-2y=\frac{-1}{33}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-3y=\frac{58}{51}\\x+5y=\frac{-152}{153}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+3y=\frac{-389}{55}\\2x-y=\frac{-631}{165}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+2y=\frac{3}{2}\\-x+3y=\frac{25}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{49}{10}-3x\\-x+y=\frac{29}{30}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x+5y=\frac{41}{9}\\-x-y=\frac{-127}{90}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+6y=\frac{-144}{7}\\-5x=-y+\frac{337}{14}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+3y=\frac{9}{5}\\-x-5y=\frac{-35}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{8}{5})\}\)
2. \(\left\{\begin{matrix}-2y=19+4x\\-x-6y=-9\end{matrix}\right.\qquad V=\{(-6,\frac{5}{2})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{338}{95}+3x\\-5x+y=\frac{1481}{285}\end{matrix}\right.\qquad V=\{(\frac{-20}{19},\frac{-1}{15})\}\)
4. \(\left\{\begin{matrix}3y=\frac{-23}{5}+2x\\-x-y=\frac{-29}{30}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-8}{15})\}\)
5. \(\left\{\begin{matrix}2y=\frac{-65}{21}-3x\\x-y=\frac{-80}{21}\end{matrix}\right.\qquad V=\{(\frac{-15}{7},\frac{5}{3})\}\)
6. \(\left\{\begin{matrix}-3y=\frac{82}{11}-3x\\-x-2y=\frac{-1}{33}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-9}{11})\}\)
7. \(\left\{\begin{matrix}4x-3y=\frac{58}{51}\\x+5y=\frac{-152}{153}\end{matrix}\right.\qquad V=\{(\frac{2}{17},\frac{-2}{9})\}\)
8. \(\left\{\begin{matrix}6x+3y=\frac{-389}{55}\\2x-y=\frac{-631}{165}\end{matrix}\right.\qquad V=\{(\frac{-17}{11},\frac{11}{15})\}\)
9. \(\left\{\begin{matrix}4x+2y=\frac{3}{2}\\-x+3y=\frac{25}{8}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},1)\}\)
10. \(\left\{\begin{matrix}3y=\frac{49}{10}-3x\\-x+y=\frac{29}{30}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{13}{10})\}\)
11. \(\left\{\begin{matrix}-4x+5y=\frac{41}{9}\\-x-y=\frac{-127}{90}\end{matrix}\right.\qquad V=\{(\frac{5}{18},\frac{17}{15})\}\)
12. \(\left\{\begin{matrix}3x+6y=\frac{-144}{7}\\-5x=-y+\frac{337}{14}\end{matrix}\right.\qquad V=\{(-5,\frac{-13}{14})\}\)