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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x-y=\frac{17}{10}\\3x=-3y+\frac{-51}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{176}{85}-x\\6x-4y=\frac{896}{85}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+y=\frac{-32}{5}\\-6x=6y+\frac{159}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-4y=\frac{49}{6}\\2x=-y+\frac{4}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{-510}{77}+6x\\x-6y=\frac{-69}{77}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{38}{5}+2x\\-4x+y=\frac{202}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{79}{15}-2x\\-4x+y=\frac{89}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{116}{91}-x\\-3x+4y=\frac{-418}{91}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+2y=\frac{5}{3}\\x+4y=\frac{37}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-5y=\frac{17}{19}\\-x+3y=\frac{-203}{95}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-6y=-21\\x+2y=\frac{15}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{16}{3}+x\\-2x-4y=\frac{-13}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x-y=\frac{17}{10}\\3x=-3y+\frac{-51}{10}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-9}{10})\}\)
2. \(\left\{\begin{matrix}-2y=\frac{176}{85}-x\\6x-4y=\frac{896}{85}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{-4}{17})\}\)
3. \(\left\{\begin{matrix}-4x+y=\frac{-32}{5}\\-6x=6y+\frac{159}{10}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-17}{5})\}\)
4. \(\left\{\begin{matrix}-2x-4y=\frac{49}{6}\\2x=-y+\frac{4}{3}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{-19}{6})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{-510}{77}+6x\\x-6y=\frac{-69}{77}\end{matrix}\right.\qquad V=\{(\frac{9}{11},\frac{2}{7})\}\)
6. \(\left\{\begin{matrix}4y=\frac{38}{5}+2x\\-4x+y=\frac{202}{5}\end{matrix}\right.\qquad V=\{(-11,\frac{-18}{5})\}\)
7. \(\left\{\begin{matrix}6y=\frac{79}{15}-2x\\-4x+y=\frac{89}{15}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{19}{15})\}\)
8. \(\left\{\begin{matrix}2y=\frac{116}{91}-x\\-3x+4y=\frac{-418}{91}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{-1}{13})\}\)
9. \(\left\{\begin{matrix}-3x+2y=\frac{5}{3}\\x+4y=\frac{37}{9}\end{matrix}\right.\qquad V=\{(\frac{1}{9},1)\}\)
10. \(\left\{\begin{matrix}-5x-5y=\frac{17}{19}\\-x+3y=\frac{-203}{95}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-11}{19})\}\)
11. \(\left\{\begin{matrix}-2x-6y=-21\\x+2y=\frac{15}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{2},3)\}\)
12. \(\left\{\begin{matrix}2y=\frac{16}{3}+x\\-2x-4y=\frac{-13}{3}\end{matrix}\right.\qquad V=\{(\frac{-19}{12},\frac{15}{8})\}\)