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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{640}{209}+4x\\-x-3y=\frac{908}{209}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+5y=\frac{1481}{180}\\5x-y=\frac{-83}{36}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=-7-2x\\3x+y=\frac{-47}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{136}{9}-4x\\5x+y=\frac{-194}{45}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+5y=\frac{-53}{12}\\4x-y=\frac{89}{30}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+y=\frac{-54}{35}\\-3x-3y=\frac{-34}{35}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{163}{10}+5x\\-x+2y=\frac{23}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x-2y=\frac{23}{2}\\x-y=\frac{-83}{12}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+y=\frac{263}{90}\\-3x-6y=\frac{97}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+y=\frac{-37}{15}\\3x+4y=\frac{-67}{10}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x+4y=\frac{54}{5}\\-x=y+\frac{-27}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+4y=\frac{-660}{19}\\-x-2y=\frac{-226}{57}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{640}{209}+4x\\-x-3y=\frac{908}{209}\end{matrix}\right.\qquad V=\{(\frac{-20}{11},\frac{-16}{19})\}\)
2. \(\left\{\begin{matrix}-3x+5y=\frac{1481}{180}\\5x-y=\frac{-83}{36}\end{matrix}\right.\qquad V=\{(\frac{-3}{20},\frac{14}{9})\}\)
3. \(\left\{\begin{matrix}4y=-7-2x\\3x+y=\frac{-47}{4}\end{matrix}\right.\qquad V=\{(-4,\frac{1}{4})\}\)
4. \(\left\{\begin{matrix}-5y=\frac{136}{9}-4x\\5x+y=\frac{-194}{45}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{-16}{5})\}\)
5. \(\left\{\begin{matrix}5x+5y=\frac{-53}{12}\\4x-y=\frac{89}{30}\end{matrix}\right.\qquad V=\{(\frac{5}{12},\frac{-13}{10})\}\)
6. \(\left\{\begin{matrix}-3x+y=\frac{-54}{35}\\-3x-3y=\frac{-34}{35}\end{matrix}\right.\qquad V=\{(\frac{7}{15},\frac{-1}{7})\}\)
7. \(\left\{\begin{matrix}2y=\frac{163}{10}+5x\\-x+2y=\frac{23}{10}\end{matrix}\right.\qquad V=\{(\frac{-7}{2},\frac{-3}{5})\}\)
8. \(\left\{\begin{matrix}-6x-2y=\frac{23}{2}\\x-y=\frac{-83}{12}\end{matrix}\right.\qquad V=\{(\frac{-19}{6},\frac{15}{4})\}\)
9. \(\left\{\begin{matrix}-2x+y=\frac{263}{90}\\-3x-6y=\frac{97}{15}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{-5}{18})\}\)
10. \(\left\{\begin{matrix}-4x+y=\frac{-37}{15}\\3x+4y=\frac{-67}{10}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{-9}{5})\}\)
11. \(\left\{\begin{matrix}4x+4y=\frac{54}{5}\\-x=y+\frac{-27}{10}\end{matrix}\right.\qquad V=\{(\frac{9}{20},\frac{9}{4})\}\)
12. \(\left\{\begin{matrix}-6x+4y=\frac{-660}{19}\\-x-2y=\frac{-226}{57}\end{matrix}\right.\qquad V=\{(\frac{16}{3},\frac{-13}{19})\}\)