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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{-394}{21}+5x\\3x+y=\frac{211}{42}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-4y=\frac{14}{11}\\-2x+y=\frac{9}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{3}{20}-2x\\6x+y=\frac{-151}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-3y=\frac{277}{14}\\-2x-6y=\frac{277}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{88}{45}-4x\\2x+y=\frac{64}{45}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+y=21\\-2x=-2y+-15\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{-413}{36}-5x\\5x-y=\frac{271}{36}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{-696}{209}-3x\\6x+y=\frac{-897}{209}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-y=\frac{-83}{12}\\-2x+2y=\frac{7}{6}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=\frac{-234}{19}+2x\\-x+4y=\frac{897}{95}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-4y=\frac{-329}{88}\\-x+4y=\frac{-67}{88}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-3y=\frac{-63}{17}\\-4x+5y=\frac{280}{51}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{-394}{21}+5x\\3x+y=\frac{211}{42}\end{matrix}\right.\qquad V=\{(\frac{16}{7},\frac{-11}{6})\}\)
2. \(\left\{\begin{matrix}3x-4y=\frac{14}{11}\\-2x+y=\frac{9}{11}\end{matrix}\right.\qquad V=\{(\frac{-10}{11},-1)\}\)
3. \(\left\{\begin{matrix}-3y=\frac{3}{20}-2x\\6x+y=\frac{-151}{20}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{-4}{5})\}\)
4. \(\left\{\begin{matrix}-x-3y=\frac{277}{14}\\-2x-6y=\frac{277}{7}\end{matrix}\right.\qquad V=\{(\frac{17}{14},-7)\}\)
5. \(\left\{\begin{matrix}-2y=\frac{88}{45}-4x\\2x+y=\frac{64}{45}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{2}{9})\}\)
6. \(\left\{\begin{matrix}2x+y=21\\-2x=-2y+-15\end{matrix}\right.\qquad V=\{(\frac{19}{2},2)\}\)
7. \(\left\{\begin{matrix}3y=\frac{-413}{36}-5x\\5x-y=\frac{271}{36}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{-19}{4})\}\)
8. \(\left\{\begin{matrix}3y=\frac{-696}{209}-3x\\6x+y=\frac{-897}{209}\end{matrix}\right.\qquad V=\{(\frac{-7}{11},\frac{-9}{19})\}\)
9. \(\left\{\begin{matrix}5x-y=\frac{-83}{12}\\-2x+2y=\frac{7}{6}\end{matrix}\right.\qquad V=\{(\frac{-19}{12},-1)\}\)
10. \(\left\{\begin{matrix}-5y=\frac{-234}{19}+2x\\-x+4y=\frac{897}{95}\end{matrix}\right.\qquad V=\{(\frac{3}{19},\frac{12}{5})\}\)
11. \(\left\{\begin{matrix}-3x-4y=\frac{-329}{88}\\-x+4y=\frac{-67}{88}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{1}{11})\}\)
12. \(\left\{\begin{matrix}x-3y=\frac{-63}{17}\\-4x+5y=\frac{280}{51}\end{matrix}\right.\qquad V=\{(\frac{5}{17},\frac{4}{3})\}\)