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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+5y=\frac{311}{34}\\x-5y=\frac{-491}{102}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{27}{130}-x\\3x-3y=\frac{621}{130}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{648}{5}-6x\\4x+y=\frac{392}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x+6y=\frac{73}{10}\\3x-y=\frac{-59}{20}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{31}{21}+x\\-6x+4y=\frac{-40}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{-65}{4}-3x\\-x+y=\frac{83}{20}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x+3y=\frac{967}{132}\\4x+y=\frac{-122}{33}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{241}{95}-2x\\6x+y=\frac{803}{95}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-5y=\frac{20}{7}\\-4x=y+\frac{-436}{35}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-2y=\frac{-74}{85}\\-4x=-6y+\frac{-58}{85}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{-67}{5}+6x\\-6x+2y=\frac{-62}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{-17}{5}-2x\\-x-3y=\frac{11}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+5y=\frac{311}{34}\\x-5y=\frac{-491}{102}\end{matrix}\right.\qquad V=\{(\frac{-13}{6},\frac{9}{17})\}\)
2. \(\left\{\begin{matrix}y=\frac{27}{130}-x\\3x-3y=\frac{621}{130}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{-9}{13})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{648}{5}-6x\\4x+y=\frac{392}{5}\end{matrix}\right.\qquad V=\{(20,\frac{-8}{5})\}\)
4. \(\left\{\begin{matrix}-5x+6y=\frac{73}{10}\\3x-y=\frac{-59}{20}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{11}{20})\}\)
5. \(\left\{\begin{matrix}-5y=\frac{31}{21}+x\\-6x+4y=\frac{-40}{7}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-3}{7})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{-65}{4}-3x\\-x+y=\frac{83}{20}\end{matrix}\right.\qquad V=\{(\frac{-7}{20},\frac{19}{5})\}\)
7. \(\left\{\begin{matrix}-5x+3y=\frac{967}{132}\\4x+y=\frac{-122}{33}\end{matrix}\right.\qquad V=\{(\frac{-13}{12},\frac{7}{11})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{241}{95}-2x\\6x+y=\frac{803}{95}\end{matrix}\right.\qquad V=\{(\frac{7}{5},\frac{1}{19})\}\)
9. \(\left\{\begin{matrix}4x-5y=\frac{20}{7}\\-4x=y+\frac{-436}{35}\end{matrix}\right.\qquad V=\{(\frac{19}{7},\frac{8}{5})\}\)
10. \(\left\{\begin{matrix}-x-2y=\frac{-74}{85}\\-4x=-6y+\frac{-58}{85}\end{matrix}\right.\qquad V=\{(\frac{8}{17},\frac{1}{5})\}\)
11. \(\left\{\begin{matrix}y=\frac{-67}{5}+6x\\-6x+2y=\frac{-62}{5}\end{matrix}\right.\qquad V=\{(\frac{12}{5},1)\}\)
12. \(\left\{\begin{matrix}4y=\frac{-17}{5}-2x\\-x-3y=\frac{11}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{-1}{2})\}\)