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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{-33}{17}+x\\3x+6y=\frac{99}{17}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{430}{51}+4x\\2x+y=\frac{-140}{51}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+6y=\frac{-133}{5}\\-6x-y=\frac{79}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{1244}{117}+4x\\5x-y=\frac{-1177}{117}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x-4y=\frac{-134}{153}\\-x=-2y+\frac{-52}{153}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{-685}{14}-3x\\3x+y=\frac{-619}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{-21}{170}-x\\3x-4y=\frac{-448}{85}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-y=\frac{-1}{42}\\6x=5y+\frac{-11}{14}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{-41}{7}-2x\\-3x-y=\frac{-8}{21}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{75}{76}+x\\-2x+4y=\frac{-105}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+2y=\frac{107}{26}\\-x=y+\frac{-81}{52}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-3y=\frac{12}{19}\\x+6y=\frac{3}{19}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{-33}{17}+x\\3x+6y=\frac{99}{17}\end{matrix}\right.\qquad V=\{(\frac{1}{17},\frac{16}{17})\}\)
2. \(\left\{\begin{matrix}3y=\frac{430}{51}+4x\\2x+y=\frac{-140}{51}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{10}{17})\}\)
3. \(\left\{\begin{matrix}4x+6y=\frac{-133}{5}\\-6x-y=\frac{79}{10}\end{matrix}\right.\qquad V=\{(\frac{-13}{20},-4)\}\)
4. \(\left\{\begin{matrix}5y=\frac{1244}{117}+4x\\5x-y=\frac{-1177}{117}\end{matrix}\right.\qquad V=\{(\frac{-17}{9},\frac{8}{13})\}\)
5. \(\left\{\begin{matrix}-5x-4y=\frac{-134}{153}\\-x=-2y+\frac{-52}{153}\end{matrix}\right.\qquad V=\{(\frac{2}{9},\frac{-1}{17})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{-685}{14}-3x\\3x+y=\frac{-619}{14}\end{matrix}\right.\qquad V=\{(-15,\frac{11}{14})\}\)
7. \(\left\{\begin{matrix}y=\frac{-21}{170}-x\\3x-4y=\frac{-448}{85}\end{matrix}\right.\qquad V=\{(\frac{-14}{17},\frac{7}{10})\}\)
8. \(\left\{\begin{matrix}x-y=\frac{-1}{42}\\6x=5y+\frac{-11}{14}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-9}{14})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{-41}{7}-2x\\-3x-y=\frac{-8}{21}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{5}{3})\}\)
10. \(\left\{\begin{matrix}-y=\frac{75}{76}+x\\-2x+4y=\frac{-105}{19}\end{matrix}\right.\qquad V=\{(\frac{5}{19},\frac{-5}{4})\}\)
11. \(\left\{\begin{matrix}6x+2y=\frac{107}{26}\\-x=y+\frac{-81}{52}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{17}{13})\}\)
12. \(\left\{\begin{matrix}-2x-3y=\frac{12}{19}\\x+6y=\frac{3}{19}\end{matrix}\right.\qquad V=\{(\frac{-9}{19},\frac{2}{19})\}\)