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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+2y=\frac{-10}{33}\\-x+6y=\frac{41}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+6y=\frac{111}{26}\\x=-y+\frac{51}{26}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{61}{4}+6x\\-3x-5y=\frac{107}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{-125}{39}+5x\\x-y=\frac{113}{195}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-3y=\frac{-73}{8}\\5x-y=\frac{-281}{48}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-4y=\frac{82}{63}\\5x-2y=\frac{-256}{63}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+3y=\frac{15}{11}\\-x=-4y+\frac{-56}{11}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+5y=\frac{-205}{26}\\x=y+\frac{-15}{26}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=19-x\\-4x+2y=\frac{-61}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+6y=\frac{139}{15}\\x=-y+\frac{83}{30}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-y=\frac{-289}{84}\\-5x-3y=\frac{31}{28}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-y=\frac{413}{22}\\6x+6y=\frac{525}{22}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+2y=\frac{-10}{33}\\-x+6y=\frac{41}{11}\end{matrix}\right.\qquad V=\{(\frac{3}{11},\frac{2}{3})\}\)
2. \(\left\{\begin{matrix}3x+6y=\frac{111}{26}\\x=-y+\frac{51}{26}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-7}{13})\}\)
3. \(\left\{\begin{matrix}-y=\frac{61}{4}+6x\\-3x-5y=\frac{107}{4}\end{matrix}\right.\qquad V=\{(\frac{-11}{6},\frac{-17}{4})\}\)
4. \(\left\{\begin{matrix}3y=\frac{-125}{39}+5x\\x-y=\frac{113}{195}\end{matrix}\right.\qquad V=\{(\frac{11}{15},\frac{2}{13})\}\)
5. \(\left\{\begin{matrix}6x-3y=\frac{-73}{8}\\5x-y=\frac{-281}{48}\end{matrix}\right.\qquad V=\{(\frac{-15}{16},\frac{7}{6})\}\)
6. \(\left\{\begin{matrix}-x-4y=\frac{82}{63}\\5x-2y=\frac{-256}{63}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{-1}{9})\}\)
7. \(\left\{\begin{matrix}4x+3y=\frac{15}{11}\\-x=-4y+\frac{-56}{11}\end{matrix}\right.\qquad V=\{(\frac{12}{11},-1)\}\)
8. \(\left\{\begin{matrix}5x+5y=\frac{-205}{26}\\x=y+\frac{-15}{26}\end{matrix}\right.\qquad V=\{(\frac{-14}{13},\frac{-1}{2})\}\)
9. \(\left\{\begin{matrix}-4y=19-x\\-4x+2y=\frac{-61}{2}\end{matrix}\right.\qquad V=\{(6,\frac{-13}{4})\}\)
10. \(\left\{\begin{matrix}4x+6y=\frac{139}{15}\\x=-y+\frac{83}{30}\end{matrix}\right.\qquad V=\{(\frac{11}{3},\frac{-9}{10})\}\)
11. \(\left\{\begin{matrix}5x-y=\frac{-289}{84}\\-5x-3y=\frac{31}{28}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{7}{12})\}\)
12. \(\left\{\begin{matrix}6x-y=\frac{413}{22}\\6x+6y=\frac{525}{22}\end{matrix}\right.\qquad V=\{(\frac{13}{4},\frac{8}{11})\}\)