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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{-229}{117}+x\\2x-5y=\frac{566}{117}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+5y=\frac{-75}{19}\\-x=-y+\frac{-23}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{-13}{30}+x\\3x+2y=\frac{1}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+6y=\frac{101}{20}\\-2x=-3y+\frac{-81}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=-16+6x\\4x+y=\frac{19}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x-y=\frac{-13}{16}\\-4x=-5y+\frac{67}{16}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+6y=\frac{163}{14}\\-x-4y=\frac{-83}{14}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{-152}{7}+4x\\-x+4y=\frac{50}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-5y=\frac{-5}{2}\\4x=y+\frac{-19}{6}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+y=\frac{3}{10}\\5x=5y+\frac{163}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-2y=\frac{9}{2}\\-x=-6y+\frac{-205}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+4y=\frac{-604}{117}\\-2x=-y+\frac{-97}{117}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{-229}{117}+x\\2x-5y=\frac{566}{117}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{-12}{13})\}\)
2. \(\left\{\begin{matrix}5x+5y=\frac{-75}{19}\\-x=-y+\frac{-23}{19}\end{matrix}\right.\qquad V=\{(\frac{4}{19},-1)\}\)
3. \(\left\{\begin{matrix}-y=\frac{-13}{30}+x\\3x+2y=\frac{1}{5}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{11}{10})\}\)
4. \(\left\{\begin{matrix}x+6y=\frac{101}{20}\\-2x=-3y+\frac{-81}{10}\end{matrix}\right.\qquad V=\{(\frac{17}{4},\frac{2}{15})\}\)
5. \(\left\{\begin{matrix}-6y=-16+6x\\4x+y=\frac{19}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{5}{2})\}\)
6. \(\left\{\begin{matrix}x-y=\frac{-13}{16}\\-4x=-5y+\frac{67}{16}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{15}{16})\}\)
7. \(\left\{\begin{matrix}5x+6y=\frac{163}{14}\\-x-4y=\frac{-83}{14}\end{matrix}\right.\qquad V=\{(\frac{11}{14},\frac{9}{7})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{-152}{7}+4x\\-x+4y=\frac{50}{7}\end{matrix}\right.\qquad V=\{(2,\frac{16}{7})\}\)
9. \(\left\{\begin{matrix}5x-5y=\frac{-5}{2}\\4x=y+\frac{-19}{6}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{-7}{18})\}\)
10. \(\left\{\begin{matrix}4x+y=\frac{3}{10}\\5x=5y+\frac{163}{8}\end{matrix}\right.\qquad V=\{(\frac{7}{8},\frac{-16}{5})\}\)
11. \(\left\{\begin{matrix}-5x-2y=\frac{9}{2}\\-x=-6y+\frac{-205}{14}\end{matrix}\right.\qquad V=\{(\frac{1}{14},\frac{-17}{7})\}\)
12. \(\left\{\begin{matrix}-2x+4y=\frac{-604}{117}\\-2x=-y+\frac{-97}{117}\end{matrix}\right.\qquad V=\{(\frac{-4}{13},\frac{-13}{9})\}\)