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Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{-317}{240}+3x\\-3x-5y=\frac{263}{48}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+4y=\frac{-43}{9}\\-x=3y+\frac{61}{18}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{-57}{85}+x\\2x-4y=\frac{-226}{85}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-2y=\frac{-86}{85}\\-6x-y=\frac{-103}{85}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+5y=\frac{45}{4}\\3x=y+\frac{81}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+3y=\frac{7}{2}\\4x-6y=-8\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+5y=\frac{97}{14}\\6x-y=\frac{197}{70}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{73}{22}-4x\\-4x+y=\frac{-139}{22}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+5y=\frac{-1504}{247}\\x+y=\frac{-410}{247}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+2y=\frac{-60}{77}\\-x+y=\frac{-142}{77}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-2y=\frac{25}{51}\\4x=-y+\frac{-181}{102}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-5y=\frac{469}{90}\\-3x-y=\frac{-23}{180}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{-317}{240}+3x\\-3x-5y=\frac{263}{48}\end{matrix}\right.\qquad V=\{(\frac{1}{16},\frac{-17}{15})\}\)
2. \(\left\{\begin{matrix}2x+4y=\frac{-43}{9}\\-x=3y+\frac{61}{18}\end{matrix}\right.\qquad V=\{(\frac{-7}{18},-1)\}\)
3. \(\left\{\begin{matrix}-3y=\frac{-57}{85}+x\\2x-4y=\frac{-226}{85}\end{matrix}\right.\qquad V=\{(\frac{-9}{17},\frac{2}{5})\}\)
4. \(\left\{\begin{matrix}-6x-2y=\frac{-86}{85}\\-6x-y=\frac{-103}{85}\end{matrix}\right.\qquad V=\{(\frac{4}{17},\frac{-1}{5})\}\)
5. \(\left\{\begin{matrix}3x+5y=\frac{45}{4}\\3x=y+\frac{81}{20}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{6}{5})\}\)
6. \(\left\{\begin{matrix}-x+3y=\frac{7}{2}\\4x-6y=-8\end{matrix}\right.\qquad V=\{(\frac{-1}{2},1)\}\)
7. \(\left\{\begin{matrix}5x+5y=\frac{97}{14}\\6x-y=\frac{197}{70}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{11}{14})\}\)
8. \(\left\{\begin{matrix}5y=\frac{73}{22}-4x\\-4x+y=\frac{-139}{22}\end{matrix}\right.\qquad V=\{(\frac{16}{11},\frac{-1}{2})\}\)
9. \(\left\{\begin{matrix}2x+5y=\frac{-1504}{247}\\x+y=\frac{-410}{247}\end{matrix}\right.\qquad V=\{(\frac{-14}{19},\frac{-12}{13})\}\)
10. \(\left\{\begin{matrix}-6x+2y=\frac{-60}{77}\\-x+y=\frac{-142}{77}\end{matrix}\right.\qquad V=\{(\frac{-8}{11},\frac{-18}{7})\}\)
11. \(\left\{\begin{matrix}5x-2y=\frac{25}{51}\\4x=-y+\frac{-181}{102}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},\frac{-5}{6})\}\)
12. \(\left\{\begin{matrix}-2x-5y=\frac{469}{90}\\-3x-y=\frac{-23}{180}\end{matrix}\right.\qquad V=\{(\frac{9}{20},\frac{-11}{9})\}\)