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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{260}{209}-5x\\2x+y=\frac{71}{209}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-y=\frac{-24}{7}\\-2x-2y=\frac{-13}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+4y=\frac{-230}{77}\\3x+4y=\frac{-186}{77}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+6y=\frac{199}{30}\\-x+4y=\frac{769}{180}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{-50}{21}+x\\-5x-2y=\frac{-640}{21}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-6y=\frac{-139}{5}\\x=-3y+\frac{317}{30}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-2y=\frac{37}{4}\\-6x=-y+\frac{-77}{8}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{38}{3}-x\\-6x+6y=-97\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+6y=\frac{77}{13}\\2x=4y+\frac{-54}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=\frac{73}{4}+3x\\-x+4y=\frac{-83}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-4y=\frac{-749}{15}\\-x+y=\frac{-263}{30}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+6y=\frac{-85}{14}\\3x+y=\frac{-103}{28}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{260}{209}-5x\\2x+y=\frac{71}{209}\end{matrix}\right.\qquad V=\{(\frac{1}{11},\frac{3}{19})\}\)
2. \(\left\{\begin{matrix}4x-y=\frac{-24}{7}\\-2x-2y=\frac{-13}{7}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{10}{7})\}\)
3. \(\left\{\begin{matrix}x+4y=\frac{-230}{77}\\3x+4y=\frac{-186}{77}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{-9}{11})\}\)
4. \(\left\{\begin{matrix}-6x+6y=\frac{199}{30}\\-x+4y=\frac{769}{180}\end{matrix}\right.\qquad V=\{(\frac{-1}{20},\frac{19}{18})\}\)
5. \(\left\{\begin{matrix}-3y=\frac{-50}{21}+x\\-5x-2y=\frac{-640}{21}\end{matrix}\right.\qquad V=\{(\frac{20}{3},\frac{-10}{7})\}\)
6. \(\left\{\begin{matrix}6x-6y=\frac{-139}{5}\\x=-3y+\frac{317}{30}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{19}{5})\}\)
7. \(\left\{\begin{matrix}4x-2y=\frac{37}{4}\\-6x=-y+\frac{-77}{8}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-17}{8})\}\)
8. \(\left\{\begin{matrix}2y=\frac{38}{3}-x\\-6x+6y=-97\end{matrix}\right.\qquad V=\{(15,\frac{-7}{6})\}\)
9. \(\left\{\begin{matrix}x+6y=\frac{77}{13}\\2x=4y+\frac{-54}{13}\end{matrix}\right.\qquad V=\{(\frac{-1}{13},1)\}\)
10. \(\left\{\begin{matrix}-6y=\frac{73}{4}+3x\\-x+4y=\frac{-83}{12}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},\frac{-13}{6})\}\)
11. \(\left\{\begin{matrix}-6x-4y=\frac{-749}{15}\\-x+y=\frac{-263}{30}\end{matrix}\right.\qquad V=\{(\frac{17}{2},\frac{-4}{15})\}\)
12. \(\left\{\begin{matrix}4x+6y=\frac{-85}{14}\\3x+y=\frac{-103}{28}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{-1}{4})\}\)