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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x+3y=\frac{125}{36}\\-x=2y+\frac{-25}{18}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=-14+6x\\6x-y=26\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-2y=40\\x-6y=15\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+4y=\frac{49}{18}\\-5x=4y+\frac{-43}{18}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+4y=\frac{-1048}{19}\\x+y=\frac{-257}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{184}{51}-3x\\2x+4y=\frac{-988}{51}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-3y=\frac{459}{176}\\2x=-y+\frac{-137}{88}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{13}{11}-5x\\x+2y=\frac{-17}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{101}{8}+2x\\x+y=\frac{111}{80}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=42+3x\\-x+y=\frac{17}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{310}{117}-x\\-6x+2y=\frac{-1145}{117}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+2y=\frac{219}{52}\\2x+4y=\frac{67}{26}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x+3y=\frac{125}{36}\\-x=2y+\frac{-25}{18}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{5}{12})\}\)
2. \(\left\{\begin{matrix}-5y=-14+6x\\6x-y=26\end{matrix}\right.\qquad V=\{(4,-2)\}\)
3. \(\left\{\begin{matrix}-2x-2y=40\\x-6y=15\end{matrix}\right.\qquad V=\{(-15,-5)\}\)
4. \(\left\{\begin{matrix}-x+4y=\frac{49}{18}\\-5x=4y+\frac{-43}{18}\end{matrix}\right.\qquad V=\{(\frac{-1}{18},\frac{2}{3})\}\)
5. \(\left\{\begin{matrix}6x+4y=\frac{-1048}{19}\\x+y=\frac{-257}{19}\end{matrix}\right.\qquad V=\{(\frac{-10}{19},-13)\}\)
6. \(\left\{\begin{matrix}-y=\frac{184}{51}-3x\\2x+4y=\frac{-988}{51}\end{matrix}\right.\qquad V=\{(\frac{-6}{17},\frac{-14}{3})\}\)
7. \(\left\{\begin{matrix}-3x-3y=\frac{459}{176}\\2x=-y+\frac{-137}{88}\end{matrix}\right.\qquad V=\{(\frac{-11}{16},\frac{-2}{11})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{13}{11}-5x\\x+2y=\frac{-17}{11}\end{matrix}\right.\qquad V=\{(\frac{-3}{11},\frac{-7}{11})\}\)
9. \(\left\{\begin{matrix}5y=\frac{101}{8}+2x\\x+y=\frac{111}{80}\end{matrix}\right.\qquad V=\{(\frac{-13}{16},\frac{11}{5})\}\)
10. \(\left\{\begin{matrix}6y=42+3x\\-x+y=\frac{17}{2}\end{matrix}\right.\qquad V=\{(-3,\frac{11}{2})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{310}{117}-x\\-6x+2y=\frac{-1145}{117}\end{matrix}\right.\qquad V=\{(\frac{20}{13},\frac{-5}{18})\}\)
12. \(\left\{\begin{matrix}-x+2y=\frac{219}{52}\\2x+4y=\frac{67}{26}\end{matrix}\right.\qquad V=\{(\frac{-19}{13},\frac{11}{8})\}\)