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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x+6y=\frac{151}{2}\\-4x=-y+\frac{93}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+4y=\frac{-11}{15}\\-x-y=\frac{151}{60}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-5y=\frac{-137}{33}\\-x-5y=\frac{-181}{33}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{-354}{85}-5x\\-x+6y=\frac{336}{85}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x-y=\frac{-789}{136}\\-5x+6y=\frac{-1131}{136}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-2y=\frac{-19}{3}\\2x=y+\frac{22}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-4y=-8\\-x=4y+-18\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x-y=\frac{303}{22}\\3x+3y=\frac{81}{22}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{-79}{9}-5x\\-x+y=\frac{32}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{34}{65}+4x\\x+y=\frac{33}{130}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{1115}{112}+5x\\4x-y=\frac{-745}{112}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+2y=\frac{89}{4}\\-x+y=\frac{29}{8}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x+6y=\frac{151}{2}\\-4x=-y+\frac{93}{5}\end{matrix}\right.\qquad V=\{(\frac{-19}{10},11)\}\)
2. \(\left\{\begin{matrix}-6x+4y=\frac{-11}{15}\\-x-y=\frac{151}{60}\end{matrix}\right.\qquad V=\{(\frac{-14}{15},\frac{-19}{12})\}\)
3. \(\left\{\begin{matrix}-2x-5y=\frac{-137}{33}\\-x-5y=\frac{-181}{33}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{15}{11})\}\)
4. \(\left\{\begin{matrix}-4y=\frac{-354}{85}-5x\\-x+6y=\frac{336}{85}\end{matrix}\right.\qquad V=\{(\frac{-6}{17},\frac{3}{5})\}\)
5. \(\left\{\begin{matrix}-3x-y=\frac{-789}{136}\\-5x+6y=\frac{-1131}{136}\end{matrix}\right.\qquad V=\{(\frac{15}{8},\frac{3}{17})\}\)
6. \(\left\{\begin{matrix}-2x-2y=\frac{-19}{3}\\2x=y+\frac{22}{3}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{-1}{3})\}\)
7. \(\left\{\begin{matrix}-6x-4y=-8\\-x=4y+-18\end{matrix}\right.\qquad V=\{(-2,5)\}\)
8. \(\left\{\begin{matrix}5x-y=\frac{303}{22}\\3x+3y=\frac{81}{22}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-14}{11})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{-79}{9}-5x\\-x+y=\frac{32}{9}\end{matrix}\right.\qquad V=\{(\frac{17}{18},\frac{9}{2})\}\)
10. \(\left\{\begin{matrix}6y=\frac{34}{65}+4x\\x+y=\frac{33}{130}\end{matrix}\right.\qquad V=\{(\frac{1}{10},\frac{2}{13})\}\)
11. \(\left\{\begin{matrix}3y=\frac{1115}{112}+5x\\4x-y=\frac{-745}{112}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{15}{16})\}\)
12. \(\left\{\begin{matrix}-5x+2y=\frac{89}{4}\\-x+y=\frac{29}{8}\end{matrix}\right.\qquad V=\{(-5,\frac{-11}{8})\}\)