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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{-31}{12}+5x\\x-y=\frac{19}{24}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-4y=\frac{-1}{2}\\-3x-5y=\frac{9}{8}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-3y=\frac{-135}{38}\\x+y=\frac{161}{152}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+2y=\frac{63}{323}\\5x=6y+\frac{-1861}{323}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-y=\frac{1505}{156}\\3x=-6y+\frac{-185}{26}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-2y=\frac{5}{2}\\3x=y+1\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{233}{15}-6x\\3x-y=\frac{29}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x-y=\frac{-188}{33}\\-4x-6y=\frac{280}{33}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{275}{19}-6x\\2x+y=\frac{359}{57}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-4y=\frac{267}{65}\\-3x+2y=\frac{-346}{65}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{-207}{38}+x\\-5x-2y=\frac{-1041}{38}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-y=\frac{-56}{3}\\6x+3y=26\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{-31}{12}+5x\\x-y=\frac{19}{24}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-1}{8})\}\)
2. \(\left\{\begin{matrix}-x-4y=\frac{-1}{2}\\-3x-5y=\frac{9}{8}\end{matrix}\right.\qquad V=\{(-1,\frac{3}{8})\}\)
3. \(\left\{\begin{matrix}-4x-3y=\frac{-135}{38}\\x+y=\frac{161}{152}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{13}{19})\}\)
4. \(\left\{\begin{matrix}x+2y=\frac{63}{323}\\5x=6y+\frac{-1861}{323}\end{matrix}\right.\qquad V=\{(\frac{-11}{17},\frac{8}{19})\}\)
5. \(\left\{\begin{matrix}-6x-y=\frac{1505}{156}\\3x=-6y+\frac{-185}{26}\end{matrix}\right.\qquad V=\{(\frac{-20}{13},\frac{-5}{12})\}\)
6. \(\left\{\begin{matrix}4x-2y=\frac{5}{2}\\3x=y+1\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-7}{4})\}\)
7. \(\left\{\begin{matrix}5y=\frac{233}{15}-6x\\3x-y=\frac{29}{15}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{5}{3})\}\)
8. \(\left\{\begin{matrix}2x-y=\frac{-188}{33}\\-4x-6y=\frac{280}{33}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{4}{11})\}\)
9. \(\left\{\begin{matrix}-4y=\frac{275}{19}-6x\\2x+y=\frac{359}{57}\end{matrix}\right.\qquad V=\{(\frac{17}{6},\frac{12}{19})\}\)
10. \(\left\{\begin{matrix}x-4y=\frac{267}{65}\\-3x+2y=\frac{-346}{65}\end{matrix}\right.\qquad V=\{(\frac{17}{13},\frac{-7}{10})\}\)
11. \(\left\{\begin{matrix}-y=\frac{-207}{38}+x\\-5x-2y=\frac{-1041}{38}\end{matrix}\right.\qquad V=\{(\frac{11}{2},\frac{-1}{19})\}\)
12. \(\left\{\begin{matrix}-5x-y=\frac{-56}{3}\\6x+3y=26\end{matrix}\right.\qquad V=\{(\frac{10}{3},2)\}\)