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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{-309}{35}+4x\\-x-2y=\frac{461}{140}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-4y=\frac{385}{18}\\x-5y=\frac{445}{18}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-3y=\frac{79}{39}\\x-y=\frac{35}{39}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+2y=\frac{-1438}{209}\\3x-y=\frac{719}{209}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x-2y=\frac{-18}{7}\\4x+5y=\frac{30}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-y=\frac{133}{195}\\-2x-3y=\frac{386}{195}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-3y=\frac{-38}{7}\\-x-3y=\frac{-40}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-5y=\frac{-191}{12}\\-6x-y=\frac{43}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-2y=\frac{-173}{117}\\-x=-6y+\frac{337}{117}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-4y=81\\2x=4y+78\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{527}{88}+4x\\-x-4y=\frac{-95}{44}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{552}{55}-3x\\-4x+y=\frac{518}{55}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{-309}{35}+4x\\-x-2y=\frac{461}{140}\end{matrix}\right.\qquad V=\{(\frac{-3}{20},\frac{-11}{7})\}\)
2. \(\left\{\begin{matrix}-5x-4y=\frac{385}{18}\\x-5y=\frac{445}{18}\end{matrix}\right.\qquad V=\{(\frac{-5}{18},-5)\}\)
3. \(\left\{\begin{matrix}2x-3y=\frac{79}{39}\\x-y=\frac{35}{39}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-3}{13})\}\)
4. \(\left\{\begin{matrix}-6x+2y=\frac{-1438}{209}\\3x-y=\frac{719}{209}\end{matrix}\right.\qquad V=\{(\frac{13}{11},\frac{2}{19})\}\)
5. \(\left\{\begin{matrix}-x-2y=\frac{-18}{7}\\4x+5y=\frac{30}{7}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},2)\}\)
6. \(\left\{\begin{matrix}-x-y=\frac{133}{195}\\-2x-3y=\frac{386}{195}\end{matrix}\right.\qquad V=\{(\frac{-1}{15},\frac{-8}{13})\}\)
7. \(\left\{\begin{matrix}-2x-3y=\frac{-38}{7}\\-x-3y=\frac{-40}{7}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},2)\}\)
8. \(\left\{\begin{matrix}-5x-5y=\frac{-191}{12}\\-6x-y=\frac{43}{20}\end{matrix}\right.\qquad V=\{(\frac{-16}{15},\frac{17}{4})\}\)
9. \(\left\{\begin{matrix}5x-2y=\frac{-173}{117}\\-x=-6y+\frac{337}{117}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{6}{13})\}\)
10. \(\left\{\begin{matrix}-x-4y=81\\2x=4y+78\end{matrix}\right.\qquad V=\{(-1,-20)\}\)
11. \(\left\{\begin{matrix}2y=\frac{527}{88}+4x\\-x-4y=\frac{-95}{44}\end{matrix}\right.\qquad V=\{(\frac{-12}{11},\frac{13}{16})\}\)
12. \(\left\{\begin{matrix}4y=\frac{552}{55}-3x\\-4x+y=\frac{518}{55}\end{matrix}\right.\qquad V=\{(\frac{-16}{11},\frac{18}{5})\}\)