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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+2y=\frac{-349}{19}\\6x=-3y+\frac{-555}{19}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-4y=\frac{96}{65}\\2x+y=\frac{171}{65}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{153}{14}-2x\\x+3y=\frac{87}{14}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=\frac{-53}{10}+3x\\x-y=\frac{41}{30}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x-3y=\frac{-163}{6}\\-5x+5y=\frac{265}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+5y=\frac{-165}{4}\\-3x=y+\frac{87}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=\frac{81}{10}-3x\\3x-y=\frac{-49}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{-1}{3}+6x\\-x+y=\frac{-17}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-y=\frac{-11}{14}\\2x=3y+\frac{55}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-5y=\frac{45}{7}\\-4x=-y+-2\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+2y=\frac{286}{119}\\x=-y+\frac{-282}{119}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-5y=5\\-5x+3y=\frac{18}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+2y=\frac{-349}{19}\\6x=-3y+\frac{-555}{19}\end{matrix}\right.\qquad V=\{(\frac{-7}{19},-9)\}\)
2. \(\left\{\begin{matrix}2x-4y=\frac{96}{65}\\2x+y=\frac{171}{65}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{3}{13})\}\)
3. \(\left\{\begin{matrix}5y=\frac{153}{14}-2x\\x+3y=\frac{87}{14}\end{matrix}\right.\qquad V=\{(\frac{12}{7},\frac{3}{2})\}\)
4. \(\left\{\begin{matrix}-6y=\frac{-53}{10}+3x\\x-y=\frac{41}{30}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{2}{15})\}\)
5. \(\left\{\begin{matrix}-x-3y=\frac{-163}{6}\\-5x+5y=\frac{265}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{6},9)\}\)
6. \(\left\{\begin{matrix}6x+5y=\frac{-165}{4}\\-3x=y+\frac{87}{4}\end{matrix}\right.\qquad V=\{(\frac{-15}{2},\frac{3}{4})\}\)
7. \(\left\{\begin{matrix}-6y=\frac{81}{10}-3x\\3x-y=\frac{-49}{10}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-13}{5})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{-1}{3}+6x\\-x+y=\frac{-17}{9}\end{matrix}\right.\qquad V=\{(\frac{8}{9},-1)\}\)
9. \(\left\{\begin{matrix}-3x-y=\frac{-11}{14}\\2x=3y+\frac{55}{14}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{-13}{14})\}\)
10. \(\left\{\begin{matrix}-5x-5y=\frac{45}{7}\\-4x=-y+-2\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{-10}{7})\}\)
11. \(\left\{\begin{matrix}-3x+2y=\frac{286}{119}\\x=-y+\frac{-282}{119}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{-16}{17})\}\)
12. \(\left\{\begin{matrix}x-5y=5\\-5x+3y=\frac{18}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-13}{10})\}\)