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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{-251}{15}-x\\4x+6y=\frac{-336}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{63}{8}-6x\\x-5y=\frac{23}{8}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+2y=\frac{31}{30}\\x=y+\frac{-23}{60}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-3y=\frac{155}{42}\\2x-y=\frac{155}{126}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x-5y=\frac{-35}{4}\\5x=6y+\frac{-73}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{-20}{13}-2x\\4x-6y=\frac{36}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+5y=\frac{-1294}{209}\\-6x-y=\frac{-234}{209}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x-5y=\frac{169}{15}\\x=y+\frac{68}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-4y=\frac{-11}{9}\\x+y=\frac{4}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{29}{8}+x\\4x-5y=\frac{37}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+6y=\frac{-21}{4}\\-6x+y=\frac{-73}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-4y=\frac{-288}{35}\\2x-2y=\frac{-19}{35}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{-251}{15}-x\\4x+6y=\frac{-336}{5}\end{matrix}\right.\qquad V=\{(-17,\frac{2}{15})\}\)
2. \(\left\{\begin{matrix}-5y=\frac{63}{8}-6x\\x-5y=\frac{23}{8}\end{matrix}\right.\qquad V=\{(1,\frac{-3}{8})\}\)
3. \(\left\{\begin{matrix}2x+2y=\frac{31}{30}\\x=y+\frac{-23}{60}\end{matrix}\right.\qquad V=\{(\frac{1}{15},\frac{9}{20})\}\)
4. \(\left\{\begin{matrix}6x-3y=\frac{155}{42}\\2x-y=\frac{155}{126}\end{matrix}\right.\qquad V=\{(\frac{11}{9},\frac{17}{14})\}\)
5. \(\left\{\begin{matrix}-x-5y=\frac{-35}{4}\\5x=6y+\frac{-73}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},2)\}\)
6. \(\left\{\begin{matrix}-y=\frac{-20}{13}-2x\\4x-6y=\frac{36}{13}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-19}{13})\}\)
7. \(\left\{\begin{matrix}-2x+5y=\frac{-1294}{209}\\-6x-y=\frac{-234}{209}\end{matrix}\right.\qquad V=\{(\frac{7}{19},\frac{-12}{11})\}\)
8. \(\left\{\begin{matrix}2x-5y=\frac{169}{15}\\x=y+\frac{68}{15}\end{matrix}\right.\qquad V=\{(\frac{19}{5},\frac{-11}{15})\}\)
9. \(\left\{\begin{matrix}-3x-4y=\frac{-11}{9}\\x+y=\frac{4}{9}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{-1}{9})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{29}{8}+x\\4x-5y=\frac{37}{8}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-9}{8})\}\)
11. \(\left\{\begin{matrix}-3x+6y=\frac{-21}{4}\\-6x+y=\frac{-73}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-1}{8})\}\)
12. \(\left\{\begin{matrix}-x-4y=\frac{-288}{35}\\2x-2y=\frac{-19}{35}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{17}{10})\}\)