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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=-30+4x\\-x-3y=-8\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-y=\frac{107}{21}\\-5x=6y+\frac{-109}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x-4y=\frac{971}{91}\\2x=-y+\frac{365}{91}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+y=\frac{147}{10}\\3x+2y=\frac{-133}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{-733}{40}+x\\-4x-4y=\frac{163}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-2y=\frac{-589}{85}\\-x=3y+\frac{-717}{170}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-4y=\frac{-278}{39}\\5x=2y+\frac{-220}{39}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-2y=\frac{-601}{133}\\5x-6y=\frac{-1859}{133}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-5y=12\\-4x+6y=36\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-2y=\frac{133}{3}\\x-3y=\frac{-57}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-4y=\frac{1140}{17}\\-x+3y=\frac{233}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{15}{77}+3x\\x+2y=\frac{-5}{77}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=-30+4x\\-x-3y=-8\end{matrix}\right.\qquad V=\{(7,\frac{1}{3})\}\)
2. \(\left\{\begin{matrix}2x-y=\frac{107}{21}\\-5x=6y+\frac{-109}{7}\end{matrix}\right.\qquad V=\{(\frac{19}{7},\frac{1}{3})\}\)
3. \(\left\{\begin{matrix}3x-4y=\frac{971}{91}\\2x=-y+\frac{365}{91}\end{matrix}\right.\qquad V=\{(\frac{17}{7},\frac{-11}{13})\}\)
4. \(\left\{\begin{matrix}-2x+y=\frac{147}{10}\\3x+2y=\frac{-133}{5}\end{matrix}\right.\qquad V=\{(-8,\frac{-13}{10})\}\)
5. \(\left\{\begin{matrix}6y=\frac{-733}{40}+x\\-4x-4y=\frac{163}{10}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{-16}{5})\}\)
6. \(\left\{\begin{matrix}4x-2y=\frac{-589}{85}\\-x=3y+\frac{-717}{170}\end{matrix}\right.\qquad V=\{(\frac{-15}{17},\frac{17}{10})\}\)
7. \(\left\{\begin{matrix}x-4y=\frac{-278}{39}\\5x=2y+\frac{-220}{39}\end{matrix}\right.\qquad V=\{(\frac{-6}{13},\frac{5}{3})\}\)
8. \(\left\{\begin{matrix}-x-2y=\frac{-601}{133}\\5x-6y=\frac{-1859}{133}\end{matrix}\right.\qquad V=\{(\frac{-1}{19},\frac{16}{7})\}\)
9. \(\left\{\begin{matrix}x-5y=12\\-4x+6y=36\end{matrix}\right.\qquad V=\{(-18,-6)\}\)
10. \(\left\{\begin{matrix}-5x-2y=\frac{133}{3}\\x-3y=\frac{-57}{4}\end{matrix}\right.\qquad V=\{(\frac{-19}{2},\frac{19}{12})\}\)
11. \(\left\{\begin{matrix}-4x-4y=\frac{1140}{17}\\-x+3y=\frac{233}{17}\end{matrix}\right.\qquad V=\{(-16,\frac{-13}{17})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{15}{77}+3x\\x+2y=\frac{-5}{77}\end{matrix}\right.\qquad V=\{(\frac{15}{11},\frac{-5}{7})\}\)