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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+y=\frac{-41}{19}\\-2x-2y=\frac{46}{19}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+6y=\frac{96}{7}\\x-5y=\frac{-40}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-5y=\frac{-7}{30}\\x-y=\frac{17}{60}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+6y=\frac{-55}{4}\\-6x=-5y+\frac{-79}{6}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{299}{35}-3x\\x-y=\frac{191}{70}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{-536}{187}+6x\\-2x-4y=\frac{-1176}{187}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{445}{12}+5x\\-x-6y=\frac{-45}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{-1}{5}-4x\\-5x+2y=\frac{-19}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-3y=\frac{-57}{130}\\3x-y=\frac{101}{130}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-5y=\frac{511}{247}\\-x+3y=\frac{-265}{247}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-5y=\frac{19}{2}\\x=2y+\frac{-67}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{-73}{91}-3x\\x+6y=\frac{-85}{91}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+y=\frac{-41}{19}\\-2x-2y=\frac{46}{19}\end{matrix}\right.\qquad V=\{(\frac{-18}{19},\frac{-5}{19})\}\)
2. \(\left\{\begin{matrix}-6x+6y=\frac{96}{7}\\x-5y=\frac{-40}{7}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{6}{7})\}\)
3. \(\left\{\begin{matrix}-6x-5y=\frac{-7}{30}\\x-y=\frac{17}{60}\end{matrix}\right.\qquad V=\{(\frac{3}{20},\frac{-2}{15})\}\)
4. \(\left\{\begin{matrix}x+6y=\frac{-55}{4}\\-6x=-5y+\frac{-79}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-7}{3})\}\)
5. \(\left\{\begin{matrix}2y=\frac{299}{35}-3x\\x-y=\frac{191}{70}\end{matrix}\right.\qquad V=\{(\frac{14}{5},\frac{1}{14})\}\)
6. \(\left\{\begin{matrix}-y=\frac{-536}{187}+6x\\-2x-4y=\frac{-1176}{187}\end{matrix}\right.\qquad V=\{(\frac{4}{17},\frac{16}{11})\}\)
7. \(\left\{\begin{matrix}5y=\frac{445}{12}+5x\\-x-6y=\frac{-45}{4}\end{matrix}\right.\qquad V=\{(\frac{-19}{4},\frac{8}{3})\}\)
8. \(\left\{\begin{matrix}y=\frac{-1}{5}-4x\\-5x+2y=\frac{-19}{2}\end{matrix}\right.\qquad V=\{(\frac{7}{10},-3)\}\)
9. \(\left\{\begin{matrix}5x-3y=\frac{-57}{130}\\3x-y=\frac{101}{130}\end{matrix}\right.\qquad V=\{(\frac{9}{13},\frac{13}{10})\}\)
10. \(\left\{\begin{matrix}2x-5y=\frac{511}{247}\\-x+3y=\frac{-265}{247}\end{matrix}\right.\qquad V=\{(\frac{16}{19},\frac{-1}{13})\}\)
11. \(\left\{\begin{matrix}-5x-5y=\frac{19}{2}\\x=2y+\frac{-67}{10}\end{matrix}\right.\qquad V=\{(\frac{-7}{2},\frac{8}{5})\}\)
12. \(\left\{\begin{matrix}4y=\frac{-73}{91}-3x\\x+6y=\frac{-85}{91}\end{matrix}\right.\qquad V=\{(\frac{-1}{13},\frac{-1}{7})\}\)