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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-4y=\frac{41}{6}\\x=-4y+\frac{37}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-3y=\frac{83}{13}\\3x=-y+\frac{20}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+4y=\frac{28}{9}\\6x-y=\frac{-34}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{-8}{5}+2x\\-2x+y=\frac{-52}{45}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+y=\frac{-19}{4}\\-4x=5y+\frac{-121}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+3y=\frac{52}{7}\\-x-y=\frac{-16}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-3y=\frac{443}{80}\\x+2y=\frac{-167}{80}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{-34}{7}+2x\\-3x-y=\frac{29}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{23}{17}-6x\\5x-y=\frac{57}{34}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+4y=\frac{-145}{17}\\-6x-y=\frac{-308}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{1}{60}-4x\\2x+5y=\frac{-427}{60}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+4y=\frac{74}{9}\\-x+5y=\frac{131}{18}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-4y=\frac{41}{6}\\x=-4y+\frac{37}{6}\end{matrix}\right.\qquad V=\{(\frac{13}{6},1)\}\)
2. \(\left\{\begin{matrix}2x-3y=\frac{83}{13}\\3x=-y+\frac{20}{13}\end{matrix}\right.\qquad V=\{(1,\frac{-19}{13})\}\)
3. \(\left\{\begin{matrix}-5x+4y=\frac{28}{9}\\6x-y=\frac{-34}{3}\end{matrix}\right.\qquad V=\{(\frac{-20}{9},-2)\}\)
4. \(\left\{\begin{matrix}3y=\frac{-8}{5}+2x\\-2x+y=\frac{-52}{45}\end{matrix}\right.\qquad V=\{(\frac{7}{15},\frac{-2}{9})\}\)
5. \(\left\{\begin{matrix}-x+y=\frac{-19}{4}\\-4x=5y+\frac{-121}{4}\end{matrix}\right.\qquad V=\{(6,\frac{5}{4})\}\)
6. \(\left\{\begin{matrix}5x+3y=\frac{52}{7}\\-x-y=\frac{-16}{7}\end{matrix}\right.\qquad V=\{(\frac{2}{7},2)\}\)
7. \(\left\{\begin{matrix}-5x-3y=\frac{443}{80}\\x+2y=\frac{-167}{80}\end{matrix}\right.\qquad V=\{(\frac{-11}{16},\frac{-7}{10})\}\)
8. \(\left\{\begin{matrix}6y=\frac{-34}{7}+2x\\-3x-y=\frac{29}{7}\end{matrix}\right.\qquad V=\{(-1,\frac{-8}{7})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{23}{17}-6x\\5x-y=\frac{57}{34}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{14}{17})\}\)
10. \(\left\{\begin{matrix}-3x+4y=\frac{-145}{17}\\-6x-y=\frac{-308}{17}\end{matrix}\right.\qquad V=\{(3,\frac{2}{17})\}\)
11. \(\left\{\begin{matrix}y=\frac{1}{60}-4x\\2x+5y=\frac{-427}{60}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-19}{12})\}\)
12. \(\left\{\begin{matrix}4x+4y=\frac{74}{9}\\-x+5y=\frac{131}{18}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{14}{9})\}\)