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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+y=\frac{-19}{3}\\-3x-2y=\frac{20}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+y=\frac{9}{2}\\-4x=2y+3\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+2y=\frac{37}{8}\\-x-3y=\frac{-9}{16}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{-364}{15}-6x\\6x-y=\frac{-361}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+2y=\frac{-752}{77}\\x=-y+\frac{-244}{77}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+2y=\frac{91}{95}\\x+5y=\frac{-257}{95}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x-2y=\frac{-307}{20}\\x=5y+\frac{-27}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+4y=\frac{71}{6}\\x=-4y+\frac{29}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-5y=\frac{74}{11}\\-6x+y=\frac{-76}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-5y=\frac{61}{12}\\x=3y+\frac{13}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{-4}{5}+x\\-3x-3y=\frac{-33}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+5y=\frac{20}{3}\\-x=3y+\frac{-8}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+y=\frac{-19}{3}\\-3x-2y=\frac{20}{3}\end{matrix}\right.\qquad V=\{(-2,\frac{-1}{3})\}\)
2. \(\left\{\begin{matrix}6x+y=\frac{9}{2}\\-4x=2y+3\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-9}{2})\}\)
3. \(\left\{\begin{matrix}-5x+2y=\frac{37}{8}\\-x-3y=\frac{-9}{16}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{7}{16})\}\)
4. \(\left\{\begin{matrix}-4y=\frac{-364}{15}-6x\\6x-y=\frac{-361}{15}\end{matrix}\right.\qquad V=\{(-4,\frac{1}{15})\}\)
5. \(\left\{\begin{matrix}4x+2y=\frac{-752}{77}\\x=-y+\frac{-244}{77}\end{matrix}\right.\qquad V=\{(\frac{-12}{7},\frac{-16}{11})\}\)
6. \(\left\{\begin{matrix}-3x+2y=\frac{91}{95}\\x+5y=\frac{-257}{95}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{-8}{19})\}\)
7. \(\left\{\begin{matrix}5x-2y=\frac{-307}{20}\\x=5y+\frac{-27}{4}\end{matrix}\right.\qquad V=\{(\frac{-11}{4},\frac{4}{5})\}\)
8. \(\left\{\begin{matrix}-5x+4y=\frac{71}{6}\\x=-4y+\frac{29}{6}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{3}{2})\}\)
9. \(\left\{\begin{matrix}-4x-5y=\frac{74}{11}\\-6x+y=\frac{-76}{11}\end{matrix}\right.\qquad V=\{(\frac{9}{11},-2)\}\)
10. \(\left\{\begin{matrix}2x-5y=\frac{61}{12}\\x=3y+\frac{13}{4}\end{matrix}\right.\qquad V=\{(-1,\frac{-17}{12})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{-4}{5}+x\\-3x-3y=\frac{-33}{10}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{-1}{10})\}\)
12. \(\left\{\begin{matrix}3x+5y=\frac{20}{3}\\-x=3y+\frac{-8}{5}\end{matrix}\right.\qquad V=\{(3,\frac{-7}{15})\}\)