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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+3y=\frac{-13}{14}\\4x-y=\frac{-29}{42}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{-102}{19}-3x\\5x+y=\frac{-55}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-2y=\frac{-181}{165}\\5x=-3y+\frac{-92}{33}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+2y=\frac{100}{11}\\-x=-y+\frac{41}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+5y=\frac{-13}{21}\\-6x=y+\frac{-151}{21}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{-272}{55}+2x\\-5x+y=\frac{-172}{11}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+y=\frac{-861}{170}\\-6x=-2y+\frac{259}{85}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4y=\frac{175}{12}+5x\\2x-y=\frac{-41}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-3y=-33\\5x=y+-24\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+6y=\frac{409}{55}\\-x+6y=\frac{1249}{165}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-4y=-2\\x=-2y+\frac{-7}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-3y=\frac{42}{5}\\-4x+y=\frac{-67}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+3y=\frac{-13}{14}\\4x-y=\frac{-29}{42}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-9}{14})\}\)
2. \(\left\{\begin{matrix}-4y=\frac{-102}{19}-3x\\5x+y=\frac{-55}{19}\end{matrix}\right.\qquad V=\{(\frac{-14}{19},\frac{15}{19})\}\)
3. \(\left\{\begin{matrix}-x-2y=\frac{-181}{165}\\5x=-3y+\frac{-92}{33}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{13}{11})\}\)
4. \(\left\{\begin{matrix}4x+2y=\frac{100}{11}\\-x=-y+\frac{41}{11}\end{matrix}\right.\qquad V=\{(\frac{3}{11},4)\}\)
5. \(\left\{\begin{matrix}-2x+5y=\frac{-13}{21}\\-6x=y+\frac{-151}{21}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{1}{3})\}\)
6. \(\left\{\begin{matrix}4y=\frac{-272}{55}+2x\\-5x+y=\frac{-172}{11}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{4}{11})\}\)
7. \(\left\{\begin{matrix}4x+y=\frac{-861}{170}\\-6x=-2y+\frac{259}{85}\end{matrix}\right.\qquad V=\{(\frac{-16}{17},\frac{-13}{10})\}\)
8. \(\left\{\begin{matrix}4y=\frac{175}{12}+5x\\2x-y=\frac{-41}{6}\end{matrix}\right.\qquad V=\{(\frac{-17}{4},\frac{-5}{3})\}\)
9. \(\left\{\begin{matrix}6x-3y=-33\\5x=y+-24\end{matrix}\right.\qquad V=\{(\frac{-13}{3},\frac{7}{3})\}\)
10. \(\left\{\begin{matrix}-3x+6y=\frac{409}{55}\\-x+6y=\frac{1249}{165}\end{matrix}\right.\qquad V=\{(\frac{1}{15},\frac{14}{11})\}\)
11. \(\left\{\begin{matrix}6x-4y=-2\\x=-2y+\frac{-7}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-3}{4})\}\)
12. \(\left\{\begin{matrix}3x-3y=\frac{42}{5}\\-4x+y=\frac{-67}{10}\end{matrix}\right.\qquad V=\{(\frac{13}{10},\frac{-3}{2})\}\)