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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{-29}{72}+6x\\x+6y=\frac{-343}{48}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+6y=\frac{57}{8}\\-x=-y+\frac{7}{16}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x+5y=\frac{12}{5}\\x+y=\frac{28}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-6y=\frac{-1806}{65}\\3x=-y+\frac{-19}{65}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+5y=\frac{-785}{66}\\-5x-y=\frac{565}{66}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{-41}{304}-4x\\x-2y=\frac{59}{152}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{7}{5}+2x\\-6x-6y=\frac{12}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{184}{21}+4x\\6x-y=\frac{-380}{63}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-6y=\frac{282}{5}\\4x=-y+\frac{-61}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-2y=\frac{-24}{11}\\6x-5y=\frac{-57}{22}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+4y=\frac{69}{5}\\3x=-2y+\frac{57}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+4y=\frac{109}{15}\\-2x+y=\frac{-373}{180}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{-29}{72}+6x\\x+6y=\frac{-343}{48}\end{matrix}\right.\qquad V=\{(\frac{-13}{16},\frac{-19}{18})\}\)
2. \(\left\{\begin{matrix}3x+6y=\frac{57}{8}\\-x=-y+\frac{7}{16}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{15}{16})\}\)
3. \(\left\{\begin{matrix}-3x+5y=\frac{12}{5}\\x+y=\frac{28}{15}\end{matrix}\right.\qquad V=\{(\frac{13}{15},1)\}\)
4. \(\left\{\begin{matrix}6x-6y=\frac{-1806}{65}\\3x=-y+\frac{-19}{65}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},\frac{17}{5})\}\)
5. \(\left\{\begin{matrix}5x+5y=\frac{-785}{66}\\-5x-y=\frac{565}{66}\end{matrix}\right.\qquad V=\{(\frac{-17}{11},\frac{-5}{6})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{-41}{304}-4x\\x-2y=\frac{59}{152}\end{matrix}\right.\qquad V=\{(\frac{-14}{19},\frac{-9}{16})\}\)
7. \(\left\{\begin{matrix}-y=\frac{7}{5}+2x\\-6x-6y=\frac{12}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{3}{5})\}\)
8. \(\left\{\begin{matrix}6y=\frac{184}{21}+4x\\6x-y=\frac{-380}{63}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{8}{9})\}\)
9. \(\left\{\begin{matrix}-3x-6y=\frac{282}{5}\\4x=-y+\frac{-61}{5}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},-9)\}\)
10. \(\left\{\begin{matrix}x-2y=\frac{-24}{11}\\6x-5y=\frac{-57}{22}\end{matrix}\right.\qquad V=\{(\frac{9}{11},\frac{3}{2})\}\)
11. \(\left\{\begin{matrix}x+4y=\frac{69}{5}\\3x=-2y+\frac{57}{5}\end{matrix}\right.\qquad V=\{(\frac{9}{5},3)\}\)
12. \(\left\{\begin{matrix}6x+4y=\frac{109}{15}\\-2x+y=\frac{-373}{180}\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{3}{20})\}\)