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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+5y=\frac{460}{39}\\x=-y+\frac{119}{39}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+2y=\frac{-179}{105}\\-3x+3y=\frac{158}{35}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{349}{14}+6x\\-x+5y=\frac{139}{28}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-2y=\frac{-343}{36}\\-4x=-y+\frac{-119}{18}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-2y=\frac{122}{7}\\-3x+y=\frac{23}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+3y=\frac{84}{5}\\-x=-y+\frac{-2}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+y=\frac{9}{8}\\2x-2y=\frac{43}{12}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{301}{36}+5x\\x+5y=\frac{317}{72}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+2y=\frac{-8}{21}\\x=-3y+\frac{-148}{63}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+4y=\frac{-3}{7}\\5x=-y+\frac{293}{42}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-5y=\frac{-73}{14}\\-3x=-y+\frac{1}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=-10+5x\\-3x-5y=22\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+5y=\frac{460}{39}\\x=-y+\frac{119}{39}\end{matrix}\right.\qquad V=\{(\frac{5}{13},\frac{8}{3})\}\)
2. \(\left\{\begin{matrix}x+2y=\frac{-179}{105}\\-3x+3y=\frac{158}{35}\end{matrix}\right.\qquad V=\{(\frac{-11}{7},\frac{-1}{15})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{349}{14}+6x\\-x+5y=\frac{139}{28}\end{matrix}\right.\qquad V=\{(\frac{-17}{4},\frac{1}{7})\}\)
4. \(\left\{\begin{matrix}-5x-2y=\frac{-343}{36}\\-4x=-y+\frac{-119}{18}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{7}{18})\}\)
5. \(\left\{\begin{matrix}-6x-2y=\frac{122}{7}\\-3x+y=\frac{23}{7}\end{matrix}\right.\qquad V=\{(-2,\frac{-19}{7})\}\)
6. \(\left\{\begin{matrix}6x+3y=\frac{84}{5}\\-x=-y+\frac{-2}{5}\end{matrix}\right.\qquad V=\{(2,\frac{8}{5})\}\)
7. \(\left\{\begin{matrix}6x+y=\frac{9}{8}\\2x-2y=\frac{43}{12}\end{matrix}\right.\qquad V=\{(\frac{5}{12},\frac{-11}{8})\}\)
8. \(\left\{\begin{matrix}2y=\frac{301}{36}+5x\\x+5y=\frac{317}{72}\end{matrix}\right.\qquad V=\{(\frac{-11}{9},\frac{9}{8})\}\)
9. \(\left\{\begin{matrix}6x+2y=\frac{-8}{21}\\x=-3y+\frac{-148}{63}\end{matrix}\right.\qquad V=\{(\frac{2}{9},\frac{-6}{7})\}\)
10. \(\left\{\begin{matrix}3x+4y=\frac{-3}{7}\\5x=-y+\frac{293}{42}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-19}{14})\}\)
11. \(\left\{\begin{matrix}-2x-5y=\frac{-73}{14}\\-3x=-y+\frac{1}{14}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{13}{14})\}\)
12. \(\left\{\begin{matrix}y=-10+5x\\-3x-5y=22\end{matrix}\right.\qquad V=\{(1,-5)\}\)