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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-y=\frac{-515}{182}\\-6x+6y=\frac{957}{91}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+y=\frac{1424}{19}\\5x-4y=\frac{-1725}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+y=\frac{-29}{30}\\-6x-3y=\frac{-19}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+2y=\frac{524}{65}\\2x=y+\frac{88}{65}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x-5y=\frac{-70}{3}\\-x=-3y+2\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=17-3x\\-x-3y=\frac{-113}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{-134}{35}-x\\6x-3y=\frac{-39}{35}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+4y=\frac{139}{21}\\-x-y=\frac{71}{84}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-4y=\frac{-113}{39}\\5x-y=\frac{-77}{39}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+y=\frac{27}{7}\\-3x=-4y+\frac{-233}{28}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x+5y=\frac{35}{16}\\-6x=-y+\frac{111}{16}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+3y=\frac{-630}{11}\\-4x-y=\frac{234}{11}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-y=\frac{-515}{182}\\-6x+6y=\frac{957}{91}\end{matrix}\right.\qquad V=\{(\frac{-7}{13},\frac{17}{14})\}\)
2. \(\left\{\begin{matrix}-4x+y=\frac{1424}{19}\\5x-4y=\frac{-1725}{19}\end{matrix}\right.\qquad V=\{(-19,\frac{-20}{19})\}\)
3. \(\left\{\begin{matrix}-2x+y=\frac{-29}{30}\\-6x-3y=\frac{-19}{10}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-1}{6})\}\)
4. \(\left\{\begin{matrix}6x+2y=\frac{524}{65}\\2x=y+\frac{88}{65}\end{matrix}\right.\qquad V=\{(\frac{14}{13},\frac{4}{5})\}\)
5. \(\left\{\begin{matrix}-5x-5y=\frac{-70}{3}\\-x=-3y+2\end{matrix}\right.\qquad V=\{(3,\frac{5}{3})\}\)
6. \(\left\{\begin{matrix}-5y=17-3x\\-x-3y=\frac{-113}{15}\end{matrix}\right.\qquad V=\{(\frac{19}{3},\frac{2}{5})\}\)
7. \(\left\{\begin{matrix}y=\frac{-134}{35}-x\\6x-3y=\frac{-39}{35}\end{matrix}\right.\qquad V=\{(\frac{-7}{5},\frac{-17}{7})\}\)
8. \(\left\{\begin{matrix}-3x+4y=\frac{139}{21}\\-x-y=\frac{71}{84}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{7}{12})\}\)
9. \(\left\{\begin{matrix}5x-4y=\frac{-113}{39}\\5x-y=\frac{-77}{39}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{4}{13})\}\)
10. \(\left\{\begin{matrix}4x+y=\frac{27}{7}\\-3x=-4y+\frac{-233}{28}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-8}{7})\}\)
11. \(\left\{\begin{matrix}-4x+5y=\frac{35}{16}\\-6x=-y+\frac{111}{16}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{-9}{16})\}\)
12. \(\left\{\begin{matrix}4x+3y=\frac{-630}{11}\\-4x-y=\frac{234}{11}\end{matrix}\right.\qquad V=\{(\frac{-9}{11},-18)\}\)