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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+2y=\frac{-244}{51}\\-6x=-y+\frac{-284}{51}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{93}{221}+2x\\-x+2y=\frac{27}{221}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+y=\frac{-61}{17}\\-6x+3y=\frac{-48}{17}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-2y=\frac{-314}{57}\\-3x=y+\frac{201}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x-3y=\frac{101}{24}\\-3x=-y+\frac{-209}{72}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-4y=\frac{116}{5}\\x=4y+4\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{125}{22}-4x\\-6x-y=\frac{-571}{44}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-2y=\frac{-16}{21}\\x=-3y+\frac{-32}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{-109}{30}-2x\\-4x-y=\frac{83}{30}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{19}{6}+2x\\2x-y=\frac{-11}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{92}{33}-4x\\2x-y=\frac{46}{33}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{21}{8}-6x\\-x+y=\frac{-7}{16}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+2y=\frac{-244}{51}\\-6x=-y+\frac{-284}{51}\end{matrix}\right.\qquad V=\{(\frac{12}{17},\frac{-4}{3})\}\)
2. \(\left\{\begin{matrix}5y=\frac{93}{221}+2x\\-x+2y=\frac{27}{221}\end{matrix}\right.\qquad V=\{(\frac{3}{13},\frac{3}{17})\}\)
3. \(\left\{\begin{matrix}3x+y=\frac{-61}{17}\\-6x+3y=\frac{-48}{17}\end{matrix}\right.\qquad V=\{(\frac{-9}{17},-2)\}\)
4. \(\left\{\begin{matrix}2x-2y=\frac{-314}{57}\\-3x=y+\frac{201}{19}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-11}{19})\}\)
5. \(\left\{\begin{matrix}-3x-3y=\frac{101}{24}\\-3x=-y+\frac{-209}{72}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{-16}{9})\}\)
6. \(\left\{\begin{matrix}-5x-4y=\frac{116}{5}\\x=4y+4\end{matrix}\right.\qquad V=\{(\frac{-16}{5},\frac{-9}{5})\}\)
7. \(\left\{\begin{matrix}3y=\frac{125}{22}-4x\\-6x-y=\frac{-571}{44}\end{matrix}\right.\qquad V=\{(\frac{19}{8},\frac{-14}{11})\}\)
8. \(\left\{\begin{matrix}6x-2y=\frac{-16}{21}\\x=-3y+\frac{-32}{7}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{-4}{3})\}\)
9. \(\left\{\begin{matrix}3y=\frac{-109}{30}-2x\\-4x-y=\frac{83}{30}\end{matrix}\right.\qquad V=\{(\frac{-7}{15},\frac{-9}{10})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{19}{6}+2x\\2x-y=\frac{-11}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-3}{4})\}\)
11. \(\left\{\begin{matrix}-2y=\frac{92}{33}-4x\\2x-y=\frac{46}{33}\end{matrix}\right.\qquad V=\{(\frac{-7}{11},\frac{-8}{3})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{21}{8}-6x\\-x+y=\frac{-7}{16}\end{matrix}\right.\qquad V=\{(\frac{-15}{16},\frac{-11}{8})\}\)