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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-2y=\frac{1002}{209}\\-x=-3y+\frac{-678}{209}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{-16}{9}+2x\\x+5y=\frac{-41}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-5y=\frac{-1029}{19}\\4x=-2y+\frac{482}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-3y=\frac{-54}{5}\\-x=-6y+\frac{-36}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-6y=3\\-2x=y+\frac{-13}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+y=\frac{-127}{144}\\2x-4y=\frac{-61}{72}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-y=\frac{-25}{6}\\5x+6y=\frac{73}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-4y=\frac{47}{2}\\2x-4y=7\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x-4y=\frac{-227}{6}\\x=-y+\frac{86}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+3y=\frac{137}{6}\\5x+y=\frac{20}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+2y=\frac{90}{7}\\x-y=\frac{-37}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+6y=\frac{147}{17}\\x=-y+\frac{53}{17}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-2y=\frac{1002}{209}\\-x=-3y+\frac{-678}{209}\end{matrix}\right.\qquad V=\{(\frac{15}{19},\frac{-9}{11})\}\)
2. \(\left\{\begin{matrix}4y=\frac{-16}{9}+2x\\x+5y=\frac{-41}{9}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-7}{9})\}\)
3. \(\left\{\begin{matrix}x-5y=\frac{-1029}{19}\\4x=-2y+\frac{482}{19}\end{matrix}\right.\qquad V=\{(\frac{16}{19},11)\}\)
4. \(\left\{\begin{matrix}-4x-3y=\frac{-54}{5}\\-x=-6y+\frac{-36}{5}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{-2}{3})\}\)
5. \(\left\{\begin{matrix}-2x-6y=3\\-2x=y+\frac{-13}{4}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{-5}{4})\}\)
6. \(\left\{\begin{matrix}3x+y=\frac{-127}{144}\\2x-4y=\frac{-61}{72}\end{matrix}\right.\qquad V=\{(\frac{-5}{16},\frac{1}{18})\}\)
7. \(\left\{\begin{matrix}-x-y=\frac{-25}{6}\\5x+6y=\frac{73}{3}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{7}{2})\}\)
8. \(\left\{\begin{matrix}-x-4y=\frac{47}{2}\\2x-4y=7\end{matrix}\right.\qquad V=\{(\frac{-11}{2},\frac{-9}{2})\}\)
9. \(\left\{\begin{matrix}3x-4y=\frac{-227}{6}\\x=-y+\frac{86}{9}\end{matrix}\right.\qquad V=\{(\frac{1}{18},\frac{19}{2})\}\)
10. \(\left\{\begin{matrix}-2x+3y=\frac{137}{6}\\5x+y=\frac{20}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{15}{2})\}\)
11. \(\left\{\begin{matrix}-3x+2y=\frac{90}{7}\\x-y=\frac{-37}{7}\end{matrix}\right.\qquad V=\{(\frac{-16}{7},3)\}\)
12. \(\left\{\begin{matrix}-3x+6y=\frac{147}{17}\\x=-y+\frac{53}{17}\end{matrix}\right.\qquad V=\{(\frac{19}{17},2)\}\)