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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{-1696}{255}+3x\\x+y=\frac{469}{255}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x+6y=\frac{1340}{91}\\3x-y=\frac{-242}{91}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-6y=\frac{9}{2}\\-x=y+\frac{3}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+4y=0\\3x+y=-10\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-2y=\frac{14}{9}\\2x=-y+\frac{1}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-3y=\frac{152}{11}\\-3x-y=\frac{248}{33}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-3y=\frac{21}{10}\\-4x=6y+\frac{-87}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+2y=\frac{-35}{2}\\6x=y+\frac{413}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x+4y=\frac{878}{65}\\x=y+\frac{-148}{65}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-4y=\frac{5}{11}\\2x-y=\frac{-5}{44}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-5y=\frac{-19}{6}\\-5x=4y+\frac{4}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-2y=\frac{40}{9}\\5x+4y=\frac{-74}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{-1696}{255}+3x\\x+y=\frac{469}{255}\end{matrix}\right.\qquad V=\{(\frac{12}{17},\frac{17}{15})\}\)
2. \(\left\{\begin{matrix}-2x+6y=\frac{1340}{91}\\3x-y=\frac{-242}{91}\end{matrix}\right.\qquad V=\{(\frac{-1}{13},\frac{17}{7})\}\)
3. \(\left\{\begin{matrix}-6x-6y=\frac{9}{2}\\-x=y+\frac{3}{4}\end{matrix}\right.\qquad V=\{(2,\frac{-11}{4})\}\)
4. \(\left\{\begin{matrix}-3x+4y=0\\3x+y=-10\end{matrix}\right.\qquad V=\{(\frac{-8}{3},-2)\}\)
5. \(\left\{\begin{matrix}-6x-2y=\frac{14}{9}\\2x=-y+\frac{1}{9}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{17}{9})\}\)
6. \(\left\{\begin{matrix}3x-3y=\frac{152}{11}\\-3x-y=\frac{248}{33}\end{matrix}\right.\qquad V=\{(\frac{-8}{11},\frac{-16}{3})\}\)
7. \(\left\{\begin{matrix}x-3y=\frac{21}{10}\\-4x=6y+\frac{-87}{5}\end{matrix}\right.\qquad V=\{(\frac{18}{5},\frac{1}{2})\}\)
8. \(\left\{\begin{matrix}-5x+2y=\frac{-35}{2}\\6x=y+\frac{413}{20}\end{matrix}\right.\qquad V=\{(\frac{17}{5},\frac{-1}{4})\}\)
9. \(\left\{\begin{matrix}-6x+4y=\frac{878}{65}\\x=y+\frac{-148}{65}\end{matrix}\right.\qquad V=\{(\frac{-11}{5},\frac{1}{13})\}\)
10. \(\left\{\begin{matrix}3x-4y=\frac{5}{11}\\2x-y=\frac{-5}{44}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},\frac{-1}{4})\}\)
11. \(\left\{\begin{matrix}x-5y=\frac{-19}{6}\\-5x=4y+\frac{4}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{1}{2})\}\)
12. \(\left\{\begin{matrix}-x-2y=\frac{40}{9}\\5x+4y=\frac{-74}{9}\end{matrix}\right.\qquad V=\{(\frac{2}{9},\frac{-7}{3})\}\)