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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+y=\frac{-199}{152}\\-2x=6y+\frac{103}{76}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{-41}{36}-4x\\6x-3y=\frac{-49}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{132}{95}+x\\-6x-5y=\frac{-653}{95}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{335}{91}-5x\\-x+3y=\frac{-327}{91}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{-155}{51}-4x\\-6x+y=\frac{635}{102}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-5y=\frac{55}{6}\\-5x=-y+\frac{-77}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{82}{7}-2x\\-x+y=\frac{-41}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-2y=\frac{109}{28}\\-x+y=\frac{19}{28}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+4y=\frac{-250}{21}\\-x=y+\frac{155}{42}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+3y=\frac{-109}{36}\\6x=5y+\frac{101}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+4y=\frac{28}{3}\\-x-5y=\frac{5}{12}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-2y=\frac{-83}{7}\\5x=y+\frac{-153}{14}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+y=\frac{-199}{152}\\-2x=6y+\frac{103}{76}\end{matrix}\right.\qquad V=\{(\frac{-13}{8},\frac{6}{19})\}\)
2. \(\left\{\begin{matrix}-y=\frac{-41}{36}-4x\\6x-3y=\frac{-49}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{19}{12})\}\)
3. \(\left\{\begin{matrix}2y=\frac{132}{95}+x\\-6x-5y=\frac{-653}{95}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{17}{19})\}\)
4. \(\left\{\begin{matrix}-5y=\frac{335}{91}-5x\\-x+3y=\frac{-327}{91}\end{matrix}\right.\qquad V=\{(\frac{-9}{13},\frac{-10}{7})\}\)
5. \(\left\{\begin{matrix}-2y=\frac{-155}{51}-4x\\-6x+y=\frac{635}{102}\end{matrix}\right.\qquad V=\{(\frac{-20}{17},\frac{-5}{6})\}\)
6. \(\left\{\begin{matrix}3x-5y=\frac{55}{6}\\-5x=-y+\frac{-77}{6}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-1}{3})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{82}{7}-2x\\-x+y=\frac{-41}{7}\end{matrix}\right.\qquad V=\{(\frac{6}{7},-5)\}\)
8. \(\left\{\begin{matrix}-5x-2y=\frac{109}{28}\\-x+y=\frac{19}{28}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-1}{14})\}\)
9. \(\left\{\begin{matrix}3x+4y=\frac{-250}{21}\\-x=y+\frac{155}{42}\end{matrix}\right.\qquad V=\{(\frac{-20}{7},\frac{-5}{6})\}\)
10. \(\left\{\begin{matrix}-x+3y=\frac{-109}{36}\\6x=5y+\frac{101}{12}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{-3}{4})\}\)
11. \(\left\{\begin{matrix}-5x+4y=\frac{28}{3}\\-x-5y=\frac{5}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{1}{4})\}\)
12. \(\left\{\begin{matrix}5x-2y=\frac{-83}{7}\\5x=y+\frac{-153}{14}\end{matrix}\right.\qquad V=\{(-2,\frac{13}{14})\}\)