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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{39}{7}+x\\-4x-5y=\frac{68}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-3y=\frac{74}{65}\\4x=-y+\frac{16}{195}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x+4y=\frac{95}{153}\\x=-6y+\frac{31}{51}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-4y=\frac{164}{17}\\6x-y=\frac{-69}{17}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+6y=\frac{50}{3}\\x+4y=\frac{31}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=4+6x\\6x-y=-2\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{-319}{65}+x\\-4x-4y=\frac{-548}{65}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+6y=\frac{-23}{10}\\x=y+\frac{113}{60}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{-20}{3}-5x\\-x+3y=\frac{8}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+y=\frac{51}{55}\\-2x-6y=\frac{-106}{55}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-y=\frac{1043}{85}\\6x=-2y+\frac{-1542}{85}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-4y=\frac{46}{45}\\-x=-5y+\frac{-151}{36}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{39}{7}+x\\-4x-5y=\frac{68}{7}\end{matrix}\right.\qquad V=\{(-1,\frac{-8}{7})\}\)
2. \(\left\{\begin{matrix}-3x-3y=\frac{74}{65}\\4x=-y+\frac{16}{195}\end{matrix}\right.\qquad V=\{(\frac{2}{13},\frac{-8}{15})\}\)
3. \(\left\{\begin{matrix}-3x+4y=\frac{95}{153}\\x=-6y+\frac{31}{51}\end{matrix}\right.\qquad V=\{(\frac{-1}{17},\frac{1}{9})\}\)
4. \(\left\{\begin{matrix}2x-4y=\frac{164}{17}\\6x-y=\frac{-69}{17}\end{matrix}\right.\qquad V=\{(\frac{-20}{17},-3)\}\)
5. \(\left\{\begin{matrix}2x+6y=\frac{50}{3}\\x+4y=\frac{31}{3}\end{matrix}\right.\qquad V=\{(\frac{7}{3},2)\}\)
6. \(\left\{\begin{matrix}5y=4+6x\\6x-y=-2\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{1}{2})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{-319}{65}+x\\-4x-4y=\frac{-548}{65}\end{matrix}\right.\qquad V=\{(\frac{-9}{13},\frac{14}{5})\}\)
8. \(\left\{\begin{matrix}6x+6y=\frac{-23}{10}\\x=y+\frac{113}{60}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-17}{15})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{-20}{3}-5x\\-x+3y=\frac{8}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{2}{3})\}\)
10. \(\left\{\begin{matrix}2x+y=\frac{51}{55}\\-2x-6y=\frac{-106}{55}\end{matrix}\right.\qquad V=\{(\frac{4}{11},\frac{1}{5})\}\)
11. \(\left\{\begin{matrix}-4x-y=\frac{1043}{85}\\6x=-2y+\frac{-1542}{85}\end{matrix}\right.\qquad V=\{(\frac{-16}{5},\frac{9}{17})\}\)
12. \(\left\{\begin{matrix}5x-4y=\frac{46}{45}\\-x=-5y+\frac{-151}{36}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},\frac{-19}{20})\}\)