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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=-10+2x\\-x-2y=-5\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+4y=\frac{83}{136}\\2x-2y=\frac{43}{68}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-y=\frac{25}{3}\\5x-2y=11\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+y=\frac{-532}{51}\\2x=4y+\frac{400}{153}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{-123}{2}-6x\\x+y=\frac{73}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2y=\frac{101}{16}-3x\\-6x-y=\frac{-1}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+5y=\frac{-841}{323}\\-x-3y=\frac{678}{323}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-6y=\frac{433}{104}\\5x=y+\frac{-309}{208}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{140}{117}-5x\\x+3y=\frac{-98}{117}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-4y=\frac{-43}{51}\\x-5y=\frac{-1127}{204}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+3y=-13\\-5x-y=\frac{-23}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{125}{48}-x\\-5x-3y=\frac{-355}{48}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=-10+2x\\-x-2y=-5\end{matrix}\right.\qquad V=\{(2,\frac{3}{2})\}\)
2. \(\left\{\begin{matrix}x+4y=\frac{83}{136}\\2x-2y=\frac{43}{68}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{1}{17})\}\)
3. \(\left\{\begin{matrix}-6x-y=\frac{25}{3}\\5x-2y=11\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-19}{3})\}\)
4. \(\left\{\begin{matrix}-6x+y=\frac{-532}{51}\\2x=4y+\frac{400}{153}\end{matrix}\right.\qquad V=\{(\frac{16}{9},\frac{4}{17})\}\)
5. \(\left\{\begin{matrix}-3y=\frac{-123}{2}-6x\\x+y=\frac{73}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},19)\}\)
6. \(\left\{\begin{matrix}-2y=\frac{101}{16}-3x\\-6x-y=\frac{-1}{8}\end{matrix}\right.\qquad V=\{(\frac{7}{16},\frac{-5}{2})\}\)
7. \(\left\{\begin{matrix}-4x+5y=\frac{-841}{323}\\-x-3y=\frac{678}{323}\end{matrix}\right.\qquad V=\{(\frac{-3}{19},\frac{-11}{17})\}\)
8. \(\left\{\begin{matrix}-4x-6y=\frac{433}{104}\\5x=y+\frac{-309}{208}\end{matrix}\right.\qquad V=\{(\frac{-5}{13},\frac{-7}{16})\}\)
9. \(\left\{\begin{matrix}5y=\frac{140}{117}-5x\\x+3y=\frac{-98}{117}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{-7}{13})\}\)
10. \(\left\{\begin{matrix}-3x-4y=\frac{-43}{51}\\x-5y=\frac{-1127}{204}\end{matrix}\right.\qquad V=\{(\frac{-16}{17},\frac{11}{12})\}\)
11. \(\left\{\begin{matrix}-5x+3y=-13\\-5x-y=\frac{-23}{3}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{-4}{3})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{125}{48}-x\\-5x-3y=\frac{-355}{48}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-5}{16})\}\)