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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3y=\frac{-1303}{76}-5x\\-6x-y=\frac{-97}{76}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+5y=\frac{-102}{91}\\5x=2y+\frac{813}{91}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{-48}{13}+x\\6x-6y=\frac{54}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+y=-3\\-2x=-2y+0\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{-12}{7}-3x\\x+2y=\frac{-1}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+y=\frac{1461}{17}\\-5x=-6y+\frac{-1349}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-3y=\frac{632}{45}\\-x-6y=\frac{914}{45}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+5y=\frac{359}{26}\\-x=y+\frac{-245}{52}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-6y=\frac{122}{15}\\-6x=-y+\frac{46}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-5y=\frac{386}{119}\\6x=y+\frac{724}{119}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-4y=\frac{273}{55}\\-3x=y+\frac{339}{220}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-5y=\frac{-407}{51}\\-x=y+\frac{41}{51}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3y=\frac{-1303}{76}-5x\\-6x-y=\frac{-97}{76}\end{matrix}\right.\qquad V=\{(\frac{-11}{19},\frac{19}{4})\}\)
2. \(\left\{\begin{matrix}x+5y=\frac{-102}{91}\\5x=2y+\frac{813}{91}\end{matrix}\right.\qquad V=\{(\frac{11}{7},\frac{-7}{13})\}\)
3. \(\left\{\begin{matrix}4y=\frac{-48}{13}+x\\6x-6y=\frac{54}{13}\end{matrix}\right.\qquad V=\{(\frac{-4}{13},-1)\}\)
4. \(\left\{\begin{matrix}-4x+y=-3\\-2x=-2y+0\end{matrix}\right.\qquad V=\{(1,1)\}\)
5. \(\left\{\begin{matrix}3y=\frac{-12}{7}-3x\\x+2y=\frac{-1}{7}\end{matrix}\right.\qquad V=\{(-1,\frac{3}{7})\}\)
6. \(\left\{\begin{matrix}5x+y=\frac{1461}{17}\\-5x=-6y+\frac{-1349}{17}\end{matrix}\right.\qquad V=\{(17,\frac{16}{17})\}\)
7. \(\left\{\begin{matrix}-4x-3y=\frac{632}{45}\\-x-6y=\frac{914}{45}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{-16}{5})\}\)
8. \(\left\{\begin{matrix}2x+5y=\frac{359}{26}\\-x=y+\frac{-245}{52}\end{matrix}\right.\qquad V=\{(\frac{13}{4},\frac{19}{13})\}\)
9. \(\left\{\begin{matrix}-4x-6y=\frac{122}{15}\\-6x=-y+\frac{46}{5}\end{matrix}\right.\qquad V=\{(\frac{-19}{12},\frac{-3}{10})\}\)
10. \(\left\{\begin{matrix}-3x-5y=\frac{386}{119}\\6x=y+\frac{724}{119}\end{matrix}\right.\qquad V=\{(\frac{14}{17},\frac{-8}{7})\}\)
11. \(\left\{\begin{matrix}-4x-4y=\frac{273}{55}\\-3x=y+\frac{339}{220}\end{matrix}\right.\qquad V=\{(\frac{-3}{20},\frac{-12}{11})\}\)
12. \(\left\{\begin{matrix}4x-5y=\frac{-407}{51}\\-x=y+\frac{41}{51}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{9}{17})\}\)