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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{7}{3}+x\\-4x+3y=-53\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{-36}{11}-6x\\4x+y=\frac{28}{33}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+3y=\frac{-38}{165}\\2x=y+\frac{-398}{165}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+3y=\frac{-949}{140}\\3x-y=\frac{633}{140}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+5y=\frac{1}{12}\\-x=5y+\frac{-41}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{-145}{198}+x\\2x+3y=\frac{-80}{99}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=\frac{-335}{117}+2x\\2x+y=\frac{110}{117}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-3y=\frac{-5}{8}\\6x=5y+\frac{-315}{8}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{74}{9}+5x\\2x-y=\frac{-173}{36}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-y=\frac{-187}{18}\\-4x=3y+\frac{-22}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{-2}{15}-2x\\-x-6y=\frac{-23}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{47}{6}+5x\\-x+5y=\frac{-61}{30}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{7}{3}+x\\-4x+3y=-53\end{matrix}\right.\qquad V=\{(9,\frac{-17}{3})\}\)
2. \(\left\{\begin{matrix}4y=\frac{-36}{11}-6x\\4x+y=\frac{28}{33}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-20}{11})\}\)
3. \(\left\{\begin{matrix}2x+3y=\frac{-38}{165}\\2x=y+\frac{-398}{165}\end{matrix}\right.\qquad V=\{(\frac{-14}{15},\frac{6}{11})\}\)
4. \(\left\{\begin{matrix}-4x+3y=\frac{-949}{140}\\3x-y=\frac{633}{140}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{-9}{20})\}\)
5. \(\left\{\begin{matrix}-2x+5y=\frac{1}{12}\\-x=5y+\frac{-41}{6}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{11}{12})\}\)
6. \(\left\{\begin{matrix}y=\frac{-145}{198}+x\\2x+3y=\frac{-80}{99}\end{matrix}\right.\qquad V=\{(\frac{5}{18},\frac{-5}{11})\}\)
7. \(\left\{\begin{matrix}-6y=\frac{-335}{117}+2x\\2x+y=\frac{110}{117}\end{matrix}\right.\qquad V=\{(\frac{5}{18},\frac{5}{13})\}\)
8. \(\left\{\begin{matrix}-x-3y=\frac{-5}{8}\\6x=5y+\frac{-315}{8}\end{matrix}\right.\qquad V=\{(-5,\frac{15}{8})\}\)
9. \(\left\{\begin{matrix}-4y=\frac{74}{9}+5x\\2x-y=\frac{-173}{36}\end{matrix}\right.\qquad V=\{(\frac{-19}{9},\frac{7}{12})\}\)
10. \(\left\{\begin{matrix}-5x-y=\frac{-187}{18}\\-4x=3y+\frac{-22}{3}\end{matrix}\right.\qquad V=\{(\frac{13}{6},\frac{-4}{9})\}\)
11. \(\left\{\begin{matrix}-2y=\frac{-2}{15}-2x\\-x-6y=\frac{-23}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{2}{3})\}\)
12. \(\left\{\begin{matrix}-2y=\frac{47}{6}+5x\\-x+5y=\frac{-61}{30}\end{matrix}\right.\qquad V=\{(\frac{-13}{10},\frac{-2}{3})\}\)