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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+2y=\frac{223}{39}\\x-4y=\frac{-601}{156}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+6y=\frac{343}{44}\\-6x+y=\frac{-9}{22}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{-13}{19}+5x\\-6x+y=\frac{11}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{175}{9}-6x\\4x-2y=\frac{110}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{-59}{5}+6x\\x-5y=-2\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+6y=\frac{-53}{4}\\3x-3y=\frac{37}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-5y=\frac{-903}{19}\\5x+y=\frac{1218}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{39}{4}-4x\\-x-5y=\frac{3}{16}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{74}{7}-4x\\x+6y=\frac{50}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-6y=\frac{-471}{170}\\3x=-y+\frac{19}{170}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-4y=\frac{26}{51}\\4x+y=\frac{-845}{204}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-y=\frac{-98}{9}\\-2x=-6y+\frac{-52}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+2y=\frac{223}{39}\\x-4y=\frac{-601}{156}\end{matrix}\right.\qquad V=\{(\frac{-13}{12},\frac{9}{13})\}\)
2. \(\left\{\begin{matrix}5x+6y=\frac{343}{44}\\-6x+y=\frac{-9}{22}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{12}{11})\}\)
3. \(\left\{\begin{matrix}2y=\frac{-13}{19}+5x\\-6x+y=\frac{11}{19}\end{matrix}\right.\qquad V=\{(\frac{-5}{19},-1)\}\)
4. \(\left\{\begin{matrix}-y=\frac{175}{9}-6x\\4x-2y=\frac{110}{9}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{5}{9})\}\)
5. \(\left\{\begin{matrix}2y=\frac{-59}{5}+6x\\x-5y=-2\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{17}{20})\}\)
6. \(\left\{\begin{matrix}x+6y=\frac{-53}{4}\\3x-3y=\frac{37}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-7}{3})\}\)
7. \(\left\{\begin{matrix}-4x-5y=\frac{-903}{19}\\5x+y=\frac{1218}{19}\end{matrix}\right.\qquad V=\{(13,\frac{-17}{19})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{39}{4}-4x\\-x-5y=\frac{3}{16}\end{matrix}\right.\qquad V=\{(2,\frac{-7}{16})\}\)
9. \(\left\{\begin{matrix}6y=\frac{74}{7}-4x\\x+6y=\frac{50}{7}\end{matrix}\right.\qquad V=\{(\frac{8}{7},1)\}\)
10. \(\left\{\begin{matrix}3x-6y=\frac{-471}{170}\\3x=-y+\frac{19}{170}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{7}{17})\}\)
11. \(\left\{\begin{matrix}5x-4y=\frac{26}{51}\\4x+y=\frac{-845}{204}\end{matrix}\right.\qquad V=\{(\frac{-13}{17},\frac{-13}{12})\}\)
12. \(\left\{\begin{matrix}-5x-y=\frac{-98}{9}\\-2x=-6y+\frac{-52}{9}\end{matrix}\right.\qquad V=\{(\frac{20}{9},\frac{-2}{9})\}\)