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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{44}{17}+2x\\4x+y=\frac{-37}{17}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=-8-6x\\3x+y=-4\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x+6y=\frac{107}{304}\\-x+6y=\frac{1361}{304}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+3y=\frac{95}{4}\\x-2y=19\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{-32}{5}+4x\\x+y=\frac{8}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{597}{85}+6x\\-x-y=\frac{331}{255}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-y=\frac{79}{99}\\2x=-4y+\frac{-46}{99}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4y=\frac{29}{14}-5x\\x-3y=\frac{103}{56}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-4y=\frac{596}{51}\\4x-y=\frac{-148}{51}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+5y=\frac{-9}{35}\\x-3y=\frac{172}{35}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{-3}{5}-4x\\-3x+y=\frac{33}{20}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{-21}{304}+3x\\-2x+y=\frac{-367}{152}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{44}{17}+2x\\4x+y=\frac{-37}{17}\end{matrix}\right.\qquad V=\{(\frac{-5}{17},-1)\}\)
2. \(\left\{\begin{matrix}2y=-8-6x\\3x+y=-4\end{matrix}\right.\qquad V=\{(\frac{-1}{3},-3)\}\)
3. \(\left\{\begin{matrix}5x+6y=\frac{107}{304}\\-x+6y=\frac{1361}{304}\end{matrix}\right.\qquad V=\{(\frac{-11}{16},\frac{12}{19})\}\)
4. \(\left\{\begin{matrix}4x+3y=\frac{95}{4}\\x-2y=19\end{matrix}\right.\qquad V=\{(\frac{19}{2},\frac{-19}{4})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{-32}{5}+4x\\x+y=\frac{8}{5}\end{matrix}\right.\qquad V=\{(\frac{13}{5},-1)\}\)
6. \(\left\{\begin{matrix}-5y=\frac{597}{85}+6x\\-x-y=\frac{331}{255}\end{matrix}\right.\qquad V=\{(\frac{-8}{15},\frac{-13}{17})\}\)
7. \(\left\{\begin{matrix}-2x-y=\frac{79}{99}\\2x=-4y+\frac{-46}{99}\end{matrix}\right.\qquad V=\{(\frac{-5}{11},\frac{1}{9})\}\)
8. \(\left\{\begin{matrix}4y=\frac{29}{14}-5x\\x-3y=\frac{103}{56}\end{matrix}\right.\qquad V=\{(\frac{5}{7},\frac{-3}{8})\}\)
9. \(\left\{\begin{matrix}-6x-4y=\frac{596}{51}\\4x-y=\frac{-148}{51}\end{matrix}\right.\qquad V=\{(\frac{-18}{17},\frac{-4}{3})\}\)
10. \(\left\{\begin{matrix}3x+5y=\frac{-9}{35}\\x-3y=\frac{172}{35}\end{matrix}\right.\qquad V=\{(\frac{17}{10},\frac{-15}{14})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{-3}{5}-4x\\-3x+y=\frac{33}{20}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-3}{5})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{-21}{304}+3x\\-2x+y=\frac{-367}{152}\end{matrix}\right.\qquad V=\{(\frac{13}{16},\frac{-15}{19})\}\)