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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+6y=\frac{109}{10}\\-3x-6y=\frac{151}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+4y=\frac{349}{99}\\-3x=-y+\frac{202}{99}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x+4y=\frac{701}{112}\\-2x-y=\frac{-1}{56}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3y=-10-6x\\-x-5y=\frac{-89}{6}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{116}{7}-2x\\x+3y=\frac{-32}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+3y=\frac{7}{11}\\-x+3y=\frac{43}{33}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+5y=\frac{34}{21}\\x+3y=\frac{-103}{126}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+5y=\frac{-23}{11}\\-3x=5y+\frac{-25}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-y=\frac{143}{85}\\3x+2y=\frac{-376}{85}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-3y=-3\\3x-3y=\frac{-23}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{-19}{136}-x\\5x+5y=\frac{-175}{136}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{59}{5}+x\\5x-2y=-5\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+6y=\frac{109}{10}\\-3x-6y=\frac{151}{10}\end{matrix}\right.\qquad V=\{(\frac{-13}{2},\frac{11}{15})\}\)
2. \(\left\{\begin{matrix}5x+4y=\frac{349}{99}\\-3x=-y+\frac{202}{99}\end{matrix}\right.\qquad V=\{(\frac{-3}{11},\frac{11}{9})\}\)
3. \(\left\{\begin{matrix}-3x+4y=\frac{701}{112}\\-2x-y=\frac{-1}{56}\end{matrix}\right.\qquad V=\{(\frac{-9}{16},\frac{8}{7})\}\)
4. \(\left\{\begin{matrix}-3y=-10-6x\\-x-5y=\frac{-89}{6}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},3)\}\)
5. \(\left\{\begin{matrix}-3y=\frac{116}{7}-2x\\x+3y=\frac{-32}{7}\end{matrix}\right.\qquad V=\{(4,\frac{-20}{7})\}\)
6. \(\left\{\begin{matrix}-3x+3y=\frac{7}{11}\\-x+3y=\frac{43}{33}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{6}{11})\}\)
7. \(\left\{\begin{matrix}-6x+5y=\frac{34}{21}\\x+3y=\frac{-103}{126}\end{matrix}\right.\qquad V=\{(\frac{-7}{18},\frac{-1}{7})\}\)
8. \(\left\{\begin{matrix}-x+5y=\frac{-23}{11}\\-3x=5y+\frac{-25}{11}\end{matrix}\right.\qquad V=\{(\frac{12}{11},\frac{-1}{5})\}\)
9. \(\left\{\begin{matrix}-2x-y=\frac{143}{85}\\3x+2y=\frac{-376}{85}\end{matrix}\right.\qquad V=\{(\frac{18}{17},\frac{-19}{5})\}\)
10. \(\left\{\begin{matrix}-x-3y=-3\\3x-3y=\frac{-23}{5}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{17}{15})\}\)
11. \(\left\{\begin{matrix}2y=\frac{-19}{136}-x\\5x+5y=\frac{-175}{136}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{2}{17})\}\)
12. \(\left\{\begin{matrix}-5y=\frac{59}{5}+x\\5x-2y=-5\end{matrix}\right.\qquad V=\{(\frac{-9}{5},-2)\}\)