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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-5y=94\\x=2y+41\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+4y=\frac{-44}{15}\\6x=5y+\frac{-119}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x-5y=\frac{-46}{3}\\6x+y=\frac{17}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{309}{16}-3x\\4x+y=\frac{361}{16}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{59}{10}-3x\\-x-y=\frac{-17}{30}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-3y=\frac{-97}{28}\\-2x-y=\frac{-83}{28}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=9-2x\\-6x-2y=-13\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x+3y=\frac{163}{15}\\x+y=\frac{17}{30}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{1340}{171}+4x\\x+2y=\frac{292}{171}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+3y=\frac{-13}{5}\\x+2y=\frac{3}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x+2y=\frac{199}{26}\\-5x=-y+\frac{-323}{26}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{13}{12}+4x\\-3x-3y=\frac{11}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-5y=94\\x=2y+41\end{matrix}\right.\qquad V=\{(1,-20)\}\)
2. \(\left\{\begin{matrix}x+4y=\frac{-44}{15}\\6x=5y+\frac{-119}{15}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{-1}{3})\}\)
3. \(\left\{\begin{matrix}-5x-5y=\frac{-46}{3}\\6x+y=\frac{17}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{15},3)\}\)
4. \(\left\{\begin{matrix}5y=\frac{309}{16}-3x\\4x+y=\frac{361}{16}\end{matrix}\right.\qquad V=\{(\frac{11}{2},\frac{9}{16})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{59}{10}-3x\\-x-y=\frac{-17}{30}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{-3}{5})\}\)
6. \(\left\{\begin{matrix}-2x-3y=\frac{-97}{28}\\-2x-y=\frac{-83}{28}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{1}{4})\}\)
7. \(\left\{\begin{matrix}y=9-2x\\-6x-2y=-13\end{matrix}\right.\qquad V=\{(\frac{-5}{2},14)\}\)
8. \(\left\{\begin{matrix}-2x+3y=\frac{163}{15}\\x+y=\frac{17}{30}\end{matrix}\right.\qquad V=\{(\frac{-11}{6},\frac{12}{5})\}\)
9. \(\left\{\begin{matrix}4y=\frac{1340}{171}+4x\\x+2y=\frac{292}{171}\end{matrix}\right.\qquad V=\{(\frac{-14}{19},\frac{11}{9})\}\)
10. \(\left\{\begin{matrix}5x+3y=\frac{-13}{5}\\x+2y=\frac{3}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{4}{5})\}\)
11. \(\left\{\begin{matrix}3x+2y=\frac{199}{26}\\-5x=-y+\frac{-323}{26}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{1}{13})\}\)
12. \(\left\{\begin{matrix}y=\frac{13}{12}+4x\\-3x-3y=\frac{11}{2}\end{matrix}\right.\qquad V=\{(\frac{-7}{12},\frac{-5}{4})\}\)