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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-6y=\frac{81}{8}\\-6x=-y+\frac{-467}{16}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-3y=\frac{35}{78}\\-2x+y=\frac{197}{117}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x+4y=\frac{-17}{13}\\-4x-y=\frac{29}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+5y=\frac{-459}{44}\\2x=y+\frac{699}{220}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{344}{39}-5x\\4x+y=\frac{187}{39}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-5y=\frac{-111}{7}\\x=-3y+\frac{115}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-y=\frac{59}{21}\\6x-4y=\frac{-38}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+y=\frac{7}{15}\\2x-6y=\frac{218}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=\frac{30}{11}-4x\\-x+y=\frac{-6}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+6y=\frac{-18}{5}\\-x+6y=\frac{-8}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x+5y=\frac{-149}{16}\\4x-y=\frac{81}{16}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+y=\frac{-7}{6}\\-4x=-5y+\frac{29}{6}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-6y=\frac{81}{8}\\-6x=-y+\frac{-467}{16}\end{matrix}\right.\qquad V=\{(5,\frac{13}{16})\}\)
2. \(\left\{\begin{matrix}-3x-3y=\frac{35}{78}\\-2x+y=\frac{197}{117}\end{matrix}\right.\qquad V=\{(\frac{-11}{18},\frac{6}{13})\}\)
3. \(\left\{\begin{matrix}5x+4y=\frac{-17}{13}\\-4x-y=\frac{29}{13}\end{matrix}\right.\qquad V=\{(\frac{-9}{13},\frac{7}{13})\}\)
4. \(\left\{\begin{matrix}-6x+5y=\frac{-459}{44}\\2x=y+\frac{699}{220}\end{matrix}\right.\qquad V=\{(\frac{15}{11},\frac{-9}{20})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{344}{39}-5x\\4x+y=\frac{187}{39}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-7}{13})\}\)
6. \(\left\{\begin{matrix}-6x-5y=\frac{-111}{7}\\x=-3y+\frac{115}{14}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{18}{7})\}\)
7. \(\left\{\begin{matrix}-x-y=\frac{59}{21}\\6x-4y=\frac{-38}{7}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-8}{7})\}\)
8. \(\left\{\begin{matrix}4x+y=\frac{7}{15}\\2x-6y=\frac{218}{15}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-11}{5})\}\)
9. \(\left\{\begin{matrix}-6y=\frac{30}{11}-4x\\-x+y=\frac{-6}{11}\end{matrix}\right.\qquad V=\{(\frac{3}{11},\frac{-3}{11})\}\)
10. \(\left\{\begin{matrix}-3x+6y=\frac{-18}{5}\\-x+6y=\frac{-8}{5}\end{matrix}\right.\qquad V=\{(1,\frac{-1}{10})\}\)
11. \(\left\{\begin{matrix}-4x+5y=\frac{-149}{16}\\4x-y=\frac{81}{16}\end{matrix}\right.\qquad V=\{(1,\frac{-17}{16})\}\)
12. \(\left\{\begin{matrix}-4x+y=\frac{-7}{6}\\-4x=-5y+\frac{29}{6}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{3}{2})\}\)