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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-4y=\frac{1126}{57}\\x+y=\frac{-322}{57}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+6y=\frac{-21}{4}\\3x=-y+\frac{-39}{8}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+6y=\frac{2}{15}\\-x=-5y+\frac{-13}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+6y=\frac{248}{13}\\4x+y=\frac{67}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=8+2x\\-x+5y=\frac{-8}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{-17}{12}+2x\\-6x+4y=\frac{-79}{12}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x-2y=\frac{17}{36}\\-5x-y=\frac{211}{36}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{-11}{117}+2x\\x+y=\frac{-40}{117}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x+y=\frac{27}{5}\\-4x-6y=\frac{-82}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{21}{55}-3x\\x-y=\frac{7}{55}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x+3y=-25\\-x+y=\frac{-4}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+y=\frac{221}{42}\\5x=-3y+\frac{281}{14}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-4y=\frac{1126}{57}\\x+y=\frac{-322}{57}\end{matrix}\right.\qquad V=\{(\frac{-6}{19},\frac{-16}{3})\}\)
2. \(\left\{\begin{matrix}6x+6y=\frac{-21}{4}\\3x=-y+\frac{-39}{8}\end{matrix}\right.\qquad V=\{(-2,\frac{9}{8})\}\)
3. \(\left\{\begin{matrix}3x+6y=\frac{2}{15}\\-x=-5y+\frac{-13}{9}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{-1}{5})\}\)
4. \(\left\{\begin{matrix}2x+6y=\frac{248}{13}\\4x+y=\frac{67}{13}\end{matrix}\right.\qquad V=\{(\frac{7}{13},3)\}\)
5. \(\left\{\begin{matrix}-4y=8+2x\\-x+5y=\frac{-8}{5}\end{matrix}\right.\qquad V=\{(\frac{-12}{5},\frac{-4}{5})\}\)
6. \(\left\{\begin{matrix}-y=\frac{-17}{12}+2x\\-6x+4y=\frac{-79}{12}\end{matrix}\right.\qquad V=\{(\frac{7}{8},\frac{-1}{3})\}\)
7. \(\left\{\begin{matrix}5x-2y=\frac{17}{36}\\-5x-y=\frac{211}{36}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-19}{9})\}\)
8. \(\left\{\begin{matrix}5y=\frac{-11}{117}+2x\\x+y=\frac{-40}{117}\end{matrix}\right.\qquad V=\{(\frac{-3}{13},\frac{-1}{9})\}\)
9. \(\left\{\begin{matrix}-6x+y=\frac{27}{5}\\-4x-6y=\frac{-82}{5}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},3)\}\)
10. \(\left\{\begin{matrix}-3y=\frac{21}{55}-3x\\x-y=\frac{7}{55}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{3}{11})\}\)
11. \(\left\{\begin{matrix}4x+3y=-25\\-x+y=\frac{-4}{3}\end{matrix}\right.\qquad V=\{(-3,\frac{-13}{3})\}\)
12. \(\left\{\begin{matrix}-5x+y=\frac{221}{42}\\5x=-3y+\frac{281}{14}\end{matrix}\right.\qquad V=\{(\frac{3}{14},\frac{19}{3})\}\)