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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+5y=\frac{-179}{24}\\x=-5y+\frac{-329}{72}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{149}{35}-3x\\-2x+y=\frac{-173}{105}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-y=\frac{14}{3}\\-3x=-2y+-13\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-5y=\frac{265}{78}\\6x=y+\frac{-43}{26}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{-34}{3}+4x\\x-y=\frac{-23}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-4y=\frac{166}{11}\\x+y=\frac{-73}{22}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+y=\frac{-77}{48}\\3x=-5y+\frac{-205}{48}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{11}{15}-5x\\-6x-2y=\frac{-46}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{68}{15}-4x\\x-6y=\frac{-107}{60}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4y=\frac{106}{9}+2x\\-x+4y=\frac{73}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-5y=\frac{369}{22}\\2x-5y=\frac{289}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-2y=\frac{23}{4}\\4x=y+\frac{35}{8}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+5y=\frac{-179}{24}\\x=-5y+\frac{-329}{72}\end{matrix}\right.\qquad V=\{(\frac{-13}{9},\frac{-5}{8})\}\)
2. \(\left\{\begin{matrix}-4y=\frac{149}{35}-3x\\-2x+y=\frac{-173}{105}\end{matrix}\right.\qquad V=\{(\frac{7}{15},\frac{-5}{7})\}\)
3. \(\left\{\begin{matrix}x-y=\frac{14}{3}\\-3x=-2y+-13\end{matrix}\right.\qquad V=\{(\frac{11}{3},-1)\}\)
4. \(\left\{\begin{matrix}2x-5y=\frac{265}{78}\\6x=y+\frac{-43}{26}\end{matrix}\right.\qquad V=\{(\frac{-5}{12},\frac{-11}{13})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{-34}{3}+4x\\x-y=\frac{-23}{6}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{10}{3})\}\)
6. \(\left\{\begin{matrix}-5x-4y=\frac{166}{11}\\x+y=\frac{-73}{22}\end{matrix}\right.\qquad V=\{(\frac{-20}{11},\frac{-3}{2})\}\)
7. \(\left\{\begin{matrix}3x+y=\frac{-77}{48}\\3x=-5y+\frac{-205}{48}\end{matrix}\right.\qquad V=\{(\frac{-5}{16},\frac{-2}{3})\}\)
8. \(\left\{\begin{matrix}-y=\frac{11}{15}-5x\\-6x-2y=\frac{-46}{5}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{13}{5})\}\)
9. \(\left\{\begin{matrix}6y=\frac{68}{15}-4x\\x-6y=\frac{-107}{60}\end{matrix}\right.\qquad V=\{(\frac{11}{20},\frac{7}{18})\}\)
10. \(\left\{\begin{matrix}4y=\frac{106}{9}+2x\\-x+4y=\frac{73}{9}\end{matrix}\right.\qquad V=\{(\frac{-11}{3},\frac{10}{9})\}\)
11. \(\left\{\begin{matrix}x-5y=\frac{369}{22}\\2x-5y=\frac{289}{11}\end{matrix}\right.\qquad V=\{(\frac{19}{2},\frac{-16}{11})\}\)
12. \(\left\{\begin{matrix}5x-2y=\frac{23}{4}\\4x=y+\frac{35}{8}\end{matrix}\right.\qquad V=\{(1,\frac{-3}{8})\}\)