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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x-2y=\frac{76}{3}\\4x=-5y+\frac{-205}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6y=\frac{-29}{5}+x\\2x-6y=\frac{76}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{-106}{3}+4x\\-5x+6y=-78\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-3y=\frac{305}{34}\\-x-5y=\frac{781}{136}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+y=\frac{-17}{5}\\-4x=-6y+\frac{-32}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+y=\frac{-42}{13}\\2x+5y=\frac{-264}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{-133}{60}+2x\\-6x+4y=\frac{-56}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{-74}{7}-2x\\5x+y=17\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x+2y=\frac{193}{36}\\-x=-y+\frac{-5}{72}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+y=\frac{407}{84}\\5x+2y=\frac{-121}{42}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-4y=\frac{4}{15}\\4x=-y+\frac{-46}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-y=\frac{-295}{33}\\3x+5y=\frac{131}{33}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x-2y=\frac{76}{3}\\4x=-5y+\frac{-205}{3}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},-11)\}\)
2. \(\left\{\begin{matrix}-6y=\frac{-29}{5}+x\\2x-6y=\frac{76}{5}\end{matrix}\right.\qquad V=\{(7,\frac{-1}{5})\}\)
3. \(\left\{\begin{matrix}-y=\frac{-106}{3}+4x\\-5x+6y=-78\end{matrix}\right.\qquad V=\{(10,\frac{-14}{3})\}\)
4. \(\left\{\begin{matrix}-4x-3y=\frac{305}{34}\\-x-5y=\frac{781}{136}\end{matrix}\right.\qquad V=\{(\frac{-13}{8},\frac{-14}{17})\}\)
5. \(\left\{\begin{matrix}4x+y=\frac{-17}{5}\\-4x=-6y+\frac{-32}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-7}{5})\}\)
6. \(\left\{\begin{matrix}-5x+y=\frac{-42}{13}\\2x+5y=\frac{-264}{13}\end{matrix}\right.\qquad V=\{(\frac{-2}{13},-4)\}\)
7. \(\left\{\begin{matrix}-y=\frac{-133}{60}+2x\\-6x+4y=\frac{-56}{15}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{5}{12})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{-74}{7}-2x\\5x+y=17\end{matrix}\right.\qquad V=\{(\frac{20}{7},\frac{19}{7})\}\)
9. \(\left\{\begin{matrix}-6x+2y=\frac{193}{36}\\-x=-y+\frac{-5}{72}\end{matrix}\right.\qquad V=\{(\frac{-11}{8},\frac{-13}{9})\}\)
10. \(\left\{\begin{matrix}-3x+y=\frac{407}{84}\\5x+2y=\frac{-121}{42}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{17}{12})\}\)
11. \(\left\{\begin{matrix}2x-4y=\frac{4}{15}\\4x=-y+\frac{-46}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-2}{5})\}\)
12. \(\left\{\begin{matrix}5x-y=\frac{-295}{33}\\3x+5y=\frac{131}{33}\end{matrix}\right.\qquad V=\{(\frac{-16}{11},\frac{5}{3})\}\)