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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-5y=\frac{-63}{8}\\x=2y+\frac{1}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+y=\frac{52}{11}\\-3x+4y=\frac{-224}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-y=\frac{263}{105}\\-4x=-5y+\frac{-1378}{105}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-5y=\frac{-363}{91}\\-4x=-y+\frac{-129}{91}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+5y=\frac{-51}{4}\\2x=-y+\frac{29}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{193}{14}-6x\\-5x+y=\frac{-415}{28}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-y=17\\5x=5y+-15\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{-141}{13}-3x\\-x+5y=\frac{-395}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{689}{84}+x\\-4x+6y=\frac{290}{21}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+3y=\frac{129}{14}\\x-4y=\frac{-17}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+4y=\frac{15}{4}\\5x=-y+\frac{-59}{48}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x-5y=\frac{-3}{2}\\x=2y+0\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-5y=\frac{-63}{8}\\x=2y+\frac{1}{4}\end{matrix}\right.\qquad V=\{(1,\frac{3}{8})\}\)
2. \(\left\{\begin{matrix}6x+y=\frac{52}{11}\\-3x+4y=\frac{-224}{11}\end{matrix}\right.\qquad V=\{(\frac{16}{11},-4)\}\)
3. \(\left\{\begin{matrix}-x-y=\frac{263}{105}\\-4x=-5y+\frac{-1378}{105}\end{matrix}\right.\qquad V=\{(\frac{1}{15},\frac{-18}{7})\}\)
4. \(\left\{\begin{matrix}-4x-5y=\frac{-363}{91}\\-4x=-y+\frac{-129}{91}\end{matrix}\right.\qquad V=\{(\frac{6}{13},\frac{3}{7})\}\)
5. \(\left\{\begin{matrix}-4x+5y=\frac{-51}{4}\\2x=-y+\frac{29}{4}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{1}{4})\}\)
6. \(\left\{\begin{matrix}2y=\frac{193}{14}-6x\\-5x+y=\frac{-415}{28}\end{matrix}\right.\qquad V=\{(\frac{19}{7},\frac{-5}{4})\}\)
7. \(\left\{\begin{matrix}-4x-y=17\\5x=5y+-15\end{matrix}\right.\qquad V=\{(-4,-1)\}\)
8. \(\left\{\begin{matrix}2y=\frac{-141}{13}-3x\\-x+5y=\frac{-395}{13}\end{matrix}\right.\qquad V=\{(\frac{5}{13},-6)\}\)
9. \(\left\{\begin{matrix}5y=\frac{689}{84}+x\\-4x+6y=\frac{290}{21}\end{matrix}\right.\qquad V=\{(\frac{-17}{12},\frac{19}{14})\}\)
10. \(\left\{\begin{matrix}5x+3y=\frac{129}{14}\\x-4y=\frac{-17}{7}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{13}{14})\}\)
11. \(\left\{\begin{matrix}-6x+4y=\frac{15}{4}\\5x=-y+\frac{-59}{48}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{7}{16})\}\)
12. \(\left\{\begin{matrix}2x-5y=\frac{-3}{2}\\x=2y+0\end{matrix}\right.\qquad V=\{(3,\frac{3}{2})\}\)