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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-y=\frac{107}{152}\\-4x=4y+\frac{157}{76}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-4y=10\\x+3y=-2\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x-4y=\frac{10}{3}\\x+2y=\frac{-19}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+3y=\frac{-39}{2}\\-x=4y+-1\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x+2y=\frac{-156}{19}\\-4x=-y+\frac{-102}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+2y=\frac{133}{33}\\2x=-y+\frac{-155}{66}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-6y=\frac{-48}{5}\\-x+3y=\frac{24}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-y=\frac{167}{3}\\-3x+2y=\frac{95}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+y=\frac{-727}{39}\\2x=-2y+\frac{236}{39}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-y=\frac{-89}{30}\\4x-4y=\frac{-154}{45}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{-151}{90}-x\\4x+6y=\frac{49}{45}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-4y=\frac{43}{10}\\-5x-y=\frac{313}{40}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-y=\frac{107}{152}\\-4x=4y+\frac{157}{76}\end{matrix}\right.\qquad V=\{(\frac{1}{16},\frac{-11}{19})\}\)
2. \(\left\{\begin{matrix}6x-4y=10\\x+3y=-2\end{matrix}\right.\qquad V=\{(1,-1)\}\)
3. \(\left\{\begin{matrix}5x-4y=\frac{10}{3}\\x+2y=\frac{-19}{3}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-5}{2})\}\)
4. \(\left\{\begin{matrix}3x+3y=\frac{-39}{2}\\-x=4y+-1\end{matrix}\right.\qquad V=\{(-9,\frac{5}{2})\}\)
5. \(\left\{\begin{matrix}-5x+2y=\frac{-156}{19}\\-4x=-y+\frac{-102}{19}\end{matrix}\right.\qquad V=\{(\frac{16}{19},-2)\}\)
6. \(\left\{\begin{matrix}-4x+2y=\frac{133}{33}\\2x=-y+\frac{-155}{66}\end{matrix}\right.\qquad V=\{(\frac{-12}{11},\frac{-1}{6})\}\)
7. \(\left\{\begin{matrix}2x-6y=\frac{-48}{5}\\-x+3y=\frac{24}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{9}{5})\}\)
8. \(\left\{\begin{matrix}-5x-y=\frac{167}{3}\\-3x+2y=\frac{95}{3}\end{matrix}\right.\qquad V=\{(-11,\frac{-2}{3})\}\)
9. \(\left\{\begin{matrix}-4x+y=\frac{-727}{39}\\2x=-2y+\frac{236}{39}\end{matrix}\right.\qquad V=\{(\frac{13}{3},\frac{-17}{13})\}\)
10. \(\left\{\begin{matrix}3x-y=\frac{-89}{30}\\4x-4y=\frac{-154}{45}\end{matrix}\right.\qquad V=\{(\frac{-19}{18},\frac{-1}{5})\}\)
11. \(\left\{\begin{matrix}3y=\frac{-151}{90}-x\\4x+6y=\frac{49}{45}\end{matrix}\right.\qquad V=\{(\frac{20}{9},\frac{-13}{10})\}\)
12. \(\left\{\begin{matrix}4x-4y=\frac{43}{10}\\-5x-y=\frac{313}{40}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{-11}{5})\}\)