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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{498}{19}-3x\\-x+6y=\frac{-118}{19}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-2y=\frac{-108}{7}\\x+6y=\frac{100}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+5y=\frac{1123}{171}\\x-6y=\frac{-226}{57}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-6y=\frac{-39}{4}\\3x=4y+\frac{-67}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{-465}{16}-3x\\x-6y=\frac{965}{16}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+5y=\frac{164}{55}\\2x=-y+\frac{156}{55}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+3y=\frac{-127}{20}\\-x+4y=\frac{-61}{20}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x+y=\frac{848}{17}\\4x-3y=\frac{1213}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{-53}{133}-4x\\x-4y=\frac{172}{133}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+6y=\frac{-51}{2}\\x-5y=\frac{-65}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{-145}{33}+3x\\x-y=\frac{19}{33}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+4y=\frac{116}{105}\\-4x-y=\frac{481}{210}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{498}{19}-3x\\-x+6y=\frac{-118}{19}\end{matrix}\right.\qquad V=\{(10,\frac{12}{19})\}\)
2. \(\left\{\begin{matrix}5x-2y=\frac{-108}{7}\\x+6y=\frac{100}{7}\end{matrix}\right.\qquad V=\{(-2,\frac{19}{7})\}\)
3. \(\left\{\begin{matrix}-6x+5y=\frac{1123}{171}\\x-6y=\frac{-226}{57}\end{matrix}\right.\qquad V=\{(\frac{-12}{19},\frac{5}{9})\}\)
4. \(\left\{\begin{matrix}-x-6y=\frac{-39}{4}\\3x=4y+\frac{-67}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{19}{12})\}\)
5. \(\left\{\begin{matrix}3y=\frac{-465}{16}-3x\\x-6y=\frac{965}{16}\end{matrix}\right.\qquad V=\{(\frac{5}{16},-10)\}\)
6. \(\left\{\begin{matrix}3x+5y=\frac{164}{55}\\2x=-y+\frac{156}{55}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{-4}{11})\}\)
7. \(\left\{\begin{matrix}-4x+3y=\frac{-127}{20}\\-x+4y=\frac{-61}{20}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-9}{20})\}\)
8. \(\left\{\begin{matrix}3x+y=\frac{848}{17}\\4x-3y=\frac{1213}{17}\end{matrix}\right.\qquad V=\{(17,\frac{-19}{17})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{-53}{133}-4x\\x-4y=\frac{172}{133}\end{matrix}\right.\qquad V=\{(\frac{-8}{19},\frac{-3}{7})\}\)
10. \(\left\{\begin{matrix}2x+6y=\frac{-51}{2}\\x-5y=\frac{-65}{12}\end{matrix}\right.\qquad V=\{(-10,\frac{-11}{12})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{-145}{33}+3x\\x-y=\frac{19}{33}\end{matrix}\right.\qquad V=\{(\frac{10}{11},\frac{1}{3})\}\)
12. \(\left\{\begin{matrix}2x+4y=\frac{116}{105}\\-4x-y=\frac{481}{210}\end{matrix}\right.\qquad V=\{(\frac{-11}{15},\frac{9}{14})\}\)