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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+3y=\frac{59}{6}\\3x-5y=\frac{-53}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+4y=\frac{-29}{9}\\-6x-2y=\frac{-122}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x+3y=\frac{-225}{11}\\-3x=-y+\frac{125}{22}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+6y=\frac{18}{7}\\3x=y+\frac{11}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{147}{44}+2x\\2x+y=\frac{267}{88}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+6y=\frac{-736}{171}\\4x+y=\frac{232}{171}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+y=\frac{-115}{7}\\4x+3y=\frac{428}{21}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+2y=\frac{86}{247}\\-2x+6y=\frac{1778}{247}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+4y=\frac{-314}{13}\\-3x=-y+\frac{97}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+5y=\frac{110}{7}\\-x=2y+\frac{-145}{14}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+3y=\frac{27}{4}\\x+3y=\frac{7}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-y=\frac{-39}{17}\\-4x+6y=\frac{-4}{17}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+3y=\frac{59}{6}\\3x-5y=\frac{-53}{2}\end{matrix}\right.\qquad V=\{(\frac{-13}{6},4)\}\)
2. \(\left\{\begin{matrix}-x+4y=\frac{-29}{9}\\-6x-2y=\frac{-122}{9}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{-2}{9})\}\)
3. \(\left\{\begin{matrix}6x+3y=\frac{-225}{11}\\-3x=-y+\frac{125}{22}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-20}{11})\}\)
4. \(\left\{\begin{matrix}-6x+6y=\frac{18}{7}\\3x=y+\frac{11}{7}\end{matrix}\right.\qquad V=\{(1,\frac{10}{7})\}\)
5. \(\left\{\begin{matrix}2y=\frac{147}{44}+2x\\2x+y=\frac{267}{88}\end{matrix}\right.\qquad V=\{(\frac{5}{11},\frac{17}{8})\}\)
6. \(\left\{\begin{matrix}-4x+6y=\frac{-736}{171}\\4x+y=\frac{232}{171}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{-8}{19})\}\)
7. \(\left\{\begin{matrix}-6x+y=\frac{-115}{7}\\4x+3y=\frac{428}{21}\end{matrix}\right.\qquad V=\{(\frac{19}{6},\frac{18}{7})\}\)
8. \(\left\{\begin{matrix}x+2y=\frac{86}{247}\\-2x+6y=\frac{1778}{247}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},\frac{15}{19})\}\)
9. \(\left\{\begin{matrix}6x+4y=\frac{-314}{13}\\-3x=-y+\frac{97}{13}\end{matrix}\right.\qquad V=\{(-3,\frac{-20}{13})\}\)
10. \(\left\{\begin{matrix}-5x+5y=\frac{110}{7}\\-x=2y+\frac{-145}{14}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{9}{2})\}\)
11. \(\left\{\begin{matrix}-3x+3y=\frac{27}{4}\\x+3y=\frac{7}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},1)\}\)
12. \(\left\{\begin{matrix}3x-y=\frac{-39}{17}\\-4x+6y=\frac{-4}{17}\end{matrix}\right.\qquad V=\{(-1,\frac{-12}{17})\}\)