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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-3y=\frac{149}{126}\\-6x-4y=\frac{16}{21}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+3y=\frac{-17}{2}\\-x+3y=2\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-2y=0\\x-2y=-3\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+3y=\frac{-37}{4}\\4x=y+\frac{77}{6}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{748}{39}-4x\\x-y=\frac{193}{39}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+6y=\frac{542}{5}\\-5x+6y=110\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{274}{153}+6x\\4x+y=\frac{-245}{153}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-y=\frac{-15}{2}\\-6x=-4y+12\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-6y=\frac{-343}{19}\\-5x+4y=\frac{-1171}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{-29}{28}-4x\\-6x-y=\frac{-57}{56}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+3y=-4\\x-5y=\frac{29}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{157}{10}+5x\\-x+y=\frac{14}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-3y=\frac{149}{126}\\-6x-4y=\frac{16}{21}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{-5}{14})\}\)
2. \(\left\{\begin{matrix}5x+3y=\frac{-17}{2}\\-x+3y=2\end{matrix}\right.\qquad V=\{(\frac{-7}{4},\frac{1}{12})\}\)
3. \(\left\{\begin{matrix}-2x-2y=0\\x-2y=-3\end{matrix}\right.\qquad V=\{(-1,1)\}\)
4. \(\left\{\begin{matrix}-3x+3y=\frac{-37}{4}\\4x=y+\frac{77}{6}\end{matrix}\right.\qquad V=\{(\frac{13}{4},\frac{1}{6})\}\)
5. \(\left\{\begin{matrix}-3y=\frac{748}{39}-4x\\x-y=\frac{193}{39}\end{matrix}\right.\qquad V=\{(\frac{13}{3},\frac{-8}{13})\}\)
6. \(\left\{\begin{matrix}-x+6y=\frac{542}{5}\\-5x+6y=110\end{matrix}\right.\qquad V=\{(\frac{-2}{5},18)\}\)
7. \(\left\{\begin{matrix}-2y=\frac{274}{153}+6x\\4x+y=\frac{-245}{153}\end{matrix}\right.\qquad V=\{(\frac{-12}{17},\frac{11}{9})\}\)
8. \(\left\{\begin{matrix}6x-y=\frac{-15}{2}\\-6x=-4y+12\end{matrix}\right.\qquad V=\{(-1,\frac{3}{2})\}\)
9. \(\left\{\begin{matrix}-x-6y=\frac{-343}{19}\\-5x+4y=\frac{-1171}{19}\end{matrix}\right.\qquad V=\{(13,\frac{16}{19})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{-29}{28}-4x\\-6x-y=\frac{-57}{56}\end{matrix}\right.\qquad V=\{(\frac{1}{16},\frac{9}{14})\}\)
11. \(\left\{\begin{matrix}-6x+3y=-4\\x-5y=\frac{29}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},-2)\}\)
12. \(\left\{\begin{matrix}4y=\frac{157}{10}+5x\\-x+y=\frac{14}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{-17}{10})\}\)