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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{-111}{10}+6x\\-x-4y=\frac{-23}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{431}{4}+x\\-5x-2y=\frac{-149}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x-4y=\frac{-115}{48}\\-3x-y=\frac{5}{48}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+6y=\frac{243}{35}\\x=-y+\frac{9}{35}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{605}{6}+6x\\x-3y=\frac{-61}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+2y=\frac{362}{33}\\-6x=y+\frac{-185}{11}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+6y=\frac{-165}{4}\\4x=-y+\frac{-5}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-6y=\frac{640}{143}\\3x=-y+\frac{-488}{143}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+2y=\frac{-155}{68}\\-4x=-y+\frac{-555}{136}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+3y=\frac{-295}{112}\\2x+y=\frac{-13}{112}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+5y=\frac{880}{117}\\x+y=\frac{-76}{117}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-y=\frac{129}{35}\\-3x+3y=\frac{621}{35}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{-111}{10}+6x\\-x-4y=\frac{-23}{5}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{3}{4})\}\)
2. \(\left\{\begin{matrix}6y=\frac{431}{4}+x\\-5x-2y=\frac{-149}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{4},18)\}\)
3. \(\left\{\begin{matrix}-3x-4y=\frac{-115}{48}\\-3x-y=\frac{5}{48}\end{matrix}\right.\qquad V=\{(\frac{-5}{16},\frac{5}{6})\}\)
4. \(\left\{\begin{matrix}-3x+6y=\frac{243}{35}\\x=-y+\frac{9}{35}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{6}{7})\}\)
5. \(\left\{\begin{matrix}2y=\frac{605}{6}+6x\\x-3y=\frac{-61}{4}\end{matrix}\right.\qquad V=\{(-17,\frac{-7}{12})\}\)
6. \(\left\{\begin{matrix}4x+2y=\frac{362}{33}\\-6x=y+\frac{-185}{11}\end{matrix}\right.\qquad V=\{(\frac{17}{6},\frac{-2}{11})\}\)
7. \(\left\{\begin{matrix}-6x+6y=\frac{-165}{4}\\4x=-y+\frac{-5}{2}\end{matrix}\right.\qquad V=\{(\frac{7}{8},-6)\}\)
8. \(\left\{\begin{matrix}4x-6y=\frac{640}{143}\\3x=-y+\frac{-488}{143}\end{matrix}\right.\qquad V=\{(\frac{-8}{11},\frac{-16}{13})\}\)
9. \(\left\{\begin{matrix}-3x+2y=\frac{-155}{68}\\-4x=-y+\frac{-555}{136}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{5}{8})\}\)
10. \(\left\{\begin{matrix}-2x+3y=\frac{-295}{112}\\2x+y=\frac{-13}{112}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{-11}{16})\}\)
11. \(\left\{\begin{matrix}-2x+5y=\frac{880}{117}\\x+y=\frac{-76}{117}\end{matrix}\right.\qquad V=\{(\frac{-20}{13},\frac{8}{9})\}\)
12. \(\left\{\begin{matrix}-2x-y=\frac{129}{35}\\-3x+3y=\frac{621}{35}\end{matrix}\right.\qquad V=\{(\frac{-16}{5},\frac{19}{7})\}\)