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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+2y=\frac{281}{65}\\x=-6y+\frac{178}{65}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-4y=\frac{-40}{3}\\-5x=y+\frac{-23}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-y=\frac{23}{56}\\-4x=-2y+\frac{-43}{14}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-3y=\frac{-64}{133}\\3x-5y=\frac{172}{133}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=\frac{1501}{176}-5x\\-4x-y=\frac{-177}{44}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+5y=-40\\x-2y=1\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{96}{55}-x\\-6x+2y=\frac{-488}{55}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{-105}{19}-5x\\-x-3y=3\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+6y=\frac{484}{171}\\x=6y+\frac{-674}{171}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{-57}{4}-2x\\-3x-4y=27\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-3y=\frac{-261}{7}\\3x-y=\frac{-265}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+4y=\frac{86}{3}\\-x=-5y+\frac{55}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+2y=\frac{281}{65}\\x=-6y+\frac{178}{65}\end{matrix}\right.\qquad V=\{(\frac{-19}{13},\frac{7}{10})\}\)
2. \(\left\{\begin{matrix}-4x-4y=\frac{-40}{3}\\-5x=y+\frac{-23}{3}\end{matrix}\right.\qquad V=\{(\frac{13}{12},\frac{9}{4})\}\)
3. \(\left\{\begin{matrix}-x-y=\frac{23}{56}\\-4x=-2y+\frac{-43}{14}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{-11}{14})\}\)
4. \(\left\{\begin{matrix}x-3y=\frac{-64}{133}\\3x-5y=\frac{172}{133}\end{matrix}\right.\qquad V=\{(\frac{11}{7},\frac{13}{19})\}\)
5. \(\left\{\begin{matrix}4y=\frac{1501}{176}-5x\\-4x-y=\frac{-177}{44}\end{matrix}\right.\qquad V=\{(\frac{11}{16},\frac{14}{11})\}\)
6. \(\left\{\begin{matrix}5x+5y=-40\\x-2y=1\end{matrix}\right.\qquad V=\{(-5,-3)\}\)
7. \(\left\{\begin{matrix}y=\frac{96}{55}-x\\-6x+2y=\frac{-488}{55}\end{matrix}\right.\qquad V=\{(\frac{17}{11},\frac{1}{5})\}\)
8. \(\left\{\begin{matrix}3y=\frac{-105}{19}-5x\\-x-3y=3\end{matrix}\right.\qquad V=\{(\frac{-12}{19},\frac{-15}{19})\}\)
9. \(\left\{\begin{matrix}-2x+6y=\frac{484}{171}\\x=6y+\frac{-674}{171}\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{16}{19})\}\)
10. \(\left\{\begin{matrix}y=\frac{-57}{4}-2x\\-3x-4y=27\end{matrix}\right.\qquad V=\{(-6,\frac{-9}{4})\}\)
11. \(\left\{\begin{matrix}6x-3y=\frac{-261}{7}\\3x-y=\frac{-265}{14}\end{matrix}\right.\qquad V=\{(\frac{-13}{2},\frac{-4}{7})\}\)
12. \(\left\{\begin{matrix}-5x+4y=\frac{86}{3}\\-x=-5y+\frac{55}{3}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},3)\}\)