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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=42-6x\\2x+y=\frac{2}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x-5y=\frac{-959}{13}\\x-3y=\frac{202}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x-5y=\frac{-7}{2}\\-x=-6y+\frac{191}{30}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-5y=\frac{-166}{13}\\x=4y+\frac{-768}{65}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-4y=\frac{151}{42}\\x-6y=\frac{425}{84}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-5y=\frac{-615}{209}\\x=5y+\frac{-340}{209}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+3y=-2\\-6x=-y+\frac{-37}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+5y=\frac{325}{144}\\-4x-3y=\frac{-563}{144}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+5y=9\\x=4y+18\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{29}{6}-5x\\-3x-6y=\frac{13}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-6y=\frac{-155}{17}\\x=-2y+\frac{179}{85}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-y=\frac{97}{10}\\2x=-2y+\frac{127}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=42-6x\\2x+y=\frac{2}{3}\end{matrix}\right.\qquad V=\{(\frac{13}{3},-8)\}\)
2. \(\left\{\begin{matrix}-6x-5y=\frac{-959}{13}\\x-3y=\frac{202}{13}\end{matrix}\right.\qquad V=\{(13,\frac{-11}{13})\}\)
3. \(\left\{\begin{matrix}3x-5y=\frac{-7}{2}\\-x=-6y+\frac{191}{30}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{6}{5})\}\)
4. \(\left\{\begin{matrix}-2x-5y=\frac{-166}{13}\\x=4y+\frac{-768}{65}\end{matrix}\right.\qquad V=\{(\frac{-8}{13},\frac{14}{5})\}\)
5. \(\left\{\begin{matrix}-2x-4y=\frac{151}{42}\\x-6y=\frac{425}{84}\end{matrix}\right.\qquad V=\{(\frac{-1}{12},\frac{-6}{7})\}\)
6. \(\left\{\begin{matrix}6x-5y=\frac{-615}{209}\\x=5y+\frac{-340}{209}\end{matrix}\right.\qquad V=\{(\frac{-5}{19},\frac{3}{11})\}\)
7. \(\left\{\begin{matrix}-3x+3y=-2\\-6x=-y+\frac{-37}{3}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{5}{3})\}\)
8. \(\left\{\begin{matrix}-x+5y=\frac{325}{144}\\-4x-3y=\frac{-563}{144}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{9}{16})\}\)
9. \(\left\{\begin{matrix}4x+5y=9\\x=4y+18\end{matrix}\right.\qquad V=\{(6,-3)\}\)
10. \(\left\{\begin{matrix}-y=\frac{29}{6}-5x\\-3x-6y=\frac{13}{5}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-5}{6})\}\)
11. \(\left\{\begin{matrix}-5x-6y=\frac{-155}{17}\\x=-2y+\frac{179}{85}\end{matrix}\right.\qquad V=\{(\frac{7}{5},\frac{6}{17})\}\)
12. \(\left\{\begin{matrix}6x-y=\frac{97}{10}\\2x=-2y+\frac{127}{5}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{19}{2})\}\)