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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-3y=\frac{15}{22}\\x=2y+\frac{-17}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+5y=\frac{111}{19}\\x=-4y+\frac{80}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{319}{5}+5x\\-x-2y=\frac{59}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{-77}{12}+6x\\x+y=\frac{-11}{6}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=3+x\\-2x+4y=\frac{9}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-5y=\frac{-239}{7}\\-3x-y=\frac{-107}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+5y=\frac{15}{4}\\-x+5y=\frac{87}{8}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{31}{6}+4x\\3x+y=\frac{-21}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{-763}{65}-3x\\-5x+y=\frac{231}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+4y=\frac{58}{7}\\-x=6y+\frac{-31}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x+y=\frac{439}{130}\\5x=5y+\frac{61}{26}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{-136}{13}-5x\\-6x-y=\frac{544}{65}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-3y=\frac{15}{22}\\x=2y+\frac{-17}{11}\end{matrix}\right.\qquad V=\{(\frac{-6}{11},\frac{1}{2})\}\)
2. \(\left\{\begin{matrix}4x+5y=\frac{111}{19}\\x=-4y+\frac{80}{19}\end{matrix}\right.\qquad V=\{(\frac{4}{19},1)\}\)
3. \(\left\{\begin{matrix}-2y=\frac{319}{5}+5x\\-x-2y=\frac{59}{5}\end{matrix}\right.\qquad V=\{(-13,\frac{3}{5})\}\)
4. \(\left\{\begin{matrix}5y=\frac{-77}{12}+6x\\x+y=\frac{-11}{6}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-19}{12})\}\)
5. \(\left\{\begin{matrix}4y=3+x\\-2x+4y=\frac{9}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{3}{8})\}\)
6. \(\left\{\begin{matrix}4x-5y=\frac{-239}{7}\\-3x-y=\frac{-107}{14}\end{matrix}\right.\qquad V=\{(\frac{3}{14},7)\}\)
7. \(\left\{\begin{matrix}2x+5y=\frac{15}{4}\\-x+5y=\frac{87}{8}\end{matrix}\right.\qquad V=\{(\frac{-19}{8},\frac{17}{10})\}\)
8. \(\left\{\begin{matrix}6y=\frac{31}{6}+4x\\3x+y=\frac{-21}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-1}{4})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{-763}{65}-3x\\-5x+y=\frac{231}{13}\end{matrix}\right.\qquad V=\{(\frac{-17}{5},\frac{10}{13})\}\)
10. \(\left\{\begin{matrix}6x+4y=\frac{58}{7}\\-x=6y+\frac{-31}{7}\end{matrix}\right.\qquad V=\{(1,\frac{4}{7})\}\)
11. \(\left\{\begin{matrix}4x+y=\frac{439}{130}\\5x=5y+\frac{61}{26}\end{matrix}\right.\qquad V=\{(\frac{10}{13},\frac{3}{10})\}\)
12. \(\left\{\begin{matrix}-2y=\frac{-136}{13}-5x\\-6x-y=\frac{544}{65}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{16}{13})\}\)