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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+3y=\frac{25}{12}\\x+3y=\frac{-5}{48}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=37+2x\\x-5y=\frac{-197}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+3y=\frac{190}{77}\\x-3y=\frac{-589}{154}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+3y=\frac{-983}{340}\\4x+3y=\frac{617}{340}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-4y=\frac{298}{21}\\5x=5y+\frac{1195}{42}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{47}{6}+x\\-4x-4y=\frac{22}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=\frac{-446}{119}-4x\\-x+5y=\frac{433}{238}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-2y=\frac{638}{171}\\-x=4y+\frac{1024}{171}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=-14+x\\5x+4y=12\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{-5}{19}+2x\\2x-2y=\frac{47}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+5y=\frac{103}{57}\\x-6y=\frac{-382}{57}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{-51}{133}-4x\\-3x+y=\frac{409}{266}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+3y=\frac{25}{12}\\x+3y=\frac{-5}{48}\end{matrix}\right.\qquad V=\{(\frac{-7}{16},\frac{1}{9})\}\)
2. \(\left\{\begin{matrix}2y=37+2x\\x-5y=\frac{-197}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{2},20)\}\)
3. \(\left\{\begin{matrix}-2x+3y=\frac{190}{77}\\x-3y=\frac{-589}{154}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{19}{11})\}\)
4. \(\left\{\begin{matrix}-x+3y=\frac{-983}{340}\\4x+3y=\frac{617}{340}\end{matrix}\right.\qquad V=\{(\frac{16}{17},\frac{-13}{20})\}\)
5. \(\left\{\begin{matrix}x-4y=\frac{298}{21}\\5x=5y+\frac{1195}{42}\end{matrix}\right.\qquad V=\{(\frac{20}{7},\frac{-17}{6})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{47}{6}+x\\-4x-4y=\frac{22}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-3}{2})\}\)
7. \(\left\{\begin{matrix}-5y=\frac{-446}{119}-4x\\-x+5y=\frac{433}{238}\end{matrix}\right.\qquad V=\{(\frac{-9}{14},\frac{4}{17})\}\)
8. \(\left\{\begin{matrix}-4x-2y=\frac{638}{171}\\-x=4y+\frac{1024}{171}\end{matrix}\right.\qquad V=\{(\frac{-4}{19},\frac{-13}{9})\}\)
9. \(\left\{\begin{matrix}5y=-14+x\\5x+4y=12\end{matrix}\right.\qquad V=\{(4,-2)\}\)
10. \(\left\{\begin{matrix}-y=\frac{-5}{19}+2x\\2x-2y=\frac{47}{19}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-14}{19})\}\)
11. \(\left\{\begin{matrix}2x+5y=\frac{103}{57}\\x-6y=\frac{-382}{57}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{17}{19})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{-51}{133}-4x\\-3x+y=\frac{409}{266}\end{matrix}\right.\qquad V=\{(\frac{-12}{19},\frac{-5}{14})\}\)