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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+2y=\frac{-11}{9}\\-3x+4y=\frac{-23}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+y=\frac{-12}{5}\\-3x=-3y+\frac{-36}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-6y=\frac{-375}{7}\\x-6y=\frac{-360}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-2y=\frac{-1}{10}\\2x=4y+\frac{-21}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x+3y=\frac{49}{57}\\-2x+6y=\frac{-22}{57}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=\frac{457}{70}+6x\\x-y=\frac{-221}{210}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x+6y=\frac{573}{119}\\-5x=-y+\frac{891}{238}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{-613}{13}+2x\\-x+4y=\frac{454}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+4y=\frac{53}{34}\\5x+y=\frac{-449}{102}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-5y=\frac{-5}{6}\\-x+y=\frac{37}{90}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+y=\frac{131}{9}\\6x-5y=\frac{-115}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+5y=\frac{310}{39}\\-x-2y=\frac{344}{39}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+2y=\frac{-11}{9}\\-3x+4y=\frac{-23}{6}\end{matrix}\right.\qquad V=\{(\frac{5}{18},\frac{-3}{4})\}\)
2. \(\left\{\begin{matrix}-x+y=\frac{-12}{5}\\-3x=-3y+\frac{-36}{5}\end{matrix}\right.\qquad V=\{(6,\frac{18}{5})\}\)
3. \(\left\{\begin{matrix}6x-6y=\frac{-375}{7}\\x-6y=\frac{-360}{7}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{17}{2})\}\)
4. \(\left\{\begin{matrix}-x-2y=\frac{-1}{10}\\2x=4y+\frac{-21}{5}\end{matrix}\right.\qquad V=\{(-1,\frac{11}{20})\}\)
5. \(\left\{\begin{matrix}x+3y=\frac{49}{57}\\-2x+6y=\frac{-22}{57}\end{matrix}\right.\qquad V=\{(\frac{10}{19},\frac{1}{9})\}\)
6. \(\left\{\begin{matrix}5y=\frac{457}{70}+6x\\x-y=\frac{-221}{210}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{-3}{14})\}\)
7. \(\left\{\begin{matrix}-5x+6y=\frac{573}{119}\\-5x=-y+\frac{891}{238}\end{matrix}\right.\qquad V=\{(\frac{-12}{17},\frac{3}{14})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{-613}{13}+2x\\-x+4y=\frac{454}{13}\end{matrix}\right.\qquad V=\{(\frac{14}{13},9)\}\)
9. \(\left\{\begin{matrix}-3x+4y=\frac{53}{34}\\5x+y=\frac{-449}{102}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-4}{17})\}\)
10. \(\left\{\begin{matrix}3x-5y=\frac{-5}{6}\\-x+y=\frac{37}{90}\end{matrix}\right.\qquad V=\{(\frac{-11}{18},\frac{-1}{5})\}\)
11. \(\left\{\begin{matrix}-6x+y=\frac{131}{9}\\6x-5y=\frac{-115}{9}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-4}{9})\}\)
12. \(\left\{\begin{matrix}-2x+5y=\frac{310}{39}\\-x-2y=\frac{344}{39}\end{matrix}\right.\qquad V=\{(\frac{-20}{3},\frac{-14}{13})\}\)