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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-3y=\frac{-21}{2}\\-x+3y=\frac{-11}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+2y=\frac{-71}{22}\\-x-3y=\frac{227}{44}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{-352}{45}+2x\\x-y=\frac{-124}{45}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+2y=\frac{118}{19}\\-x-y=\frac{-21}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x-5y=\frac{-48}{17}\\x+y=\frac{48}{85}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-y=\frac{146}{9}\\6x=5y+\frac{-242}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-5y=\frac{61}{18}\\2x-y=\frac{41}{18}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{-59}{15}-x\\3x+6y=\frac{49}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=-154-5x\\x+2y=30\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{-56}{5}+3x\\-x+3y=\frac{-59}{10}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x+2y=\frac{-119}{55}\\3x-y=\frac{-481}{110}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{-205}{12}+2x\\x-y=\frac{53}{12}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-3y=\frac{-21}{2}\\-x+3y=\frac{-11}{2}\end{matrix}\right.\qquad V=\{(-8,\frac{-9}{2})\}\)
2. \(\left\{\begin{matrix}3x+2y=\frac{-71}{22}\\-x-3y=\frac{227}{44}\end{matrix}\right.\qquad V=\{(\frac{1}{11},\frac{-7}{4})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{-352}{45}+2x\\x-y=\frac{-124}{45}\end{matrix}\right.\qquad V=\{(\frac{-8}{15},\frac{20}{9})\}\)
4. \(\left\{\begin{matrix}6x+2y=\frac{118}{19}\\-x-y=\frac{-21}{19}\end{matrix}\right.\qquad V=\{(1,\frac{2}{19})\}\)
5. \(\left\{\begin{matrix}-5x-5y=\frac{-48}{17}\\x+y=\frac{48}{85}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{13}{17})\}\)
6. \(\left\{\begin{matrix}-6x-y=\frac{146}{9}\\6x=5y+\frac{-242}{9}\end{matrix}\right.\qquad V=\{(-3,\frac{16}{9})\}\)
7. \(\left\{\begin{matrix}4x-5y=\frac{61}{18}\\2x-y=\frac{41}{18}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{7}{18})\}\)
8. \(\left\{\begin{matrix}-2y=\frac{-59}{15}-x\\3x+6y=\frac{49}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{9}{5})\}\)
9. \(\left\{\begin{matrix}-6y=-154-5x\\x+2y=30\end{matrix}\right.\qquad V=\{(-8,19)\}\)
10. \(\left\{\begin{matrix}6y=\frac{-56}{5}+3x\\-x+3y=\frac{-59}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{-13}{6})\}\)
11. \(\left\{\begin{matrix}4x+2y=\frac{-119}{55}\\3x-y=\frac{-481}{110}\end{matrix}\right.\qquad V=\{(\frac{-12}{11},\frac{11}{10})\}\)
12. \(\left\{\begin{matrix}5y=\frac{-205}{12}+2x\\x-y=\frac{53}{12}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-11}{4})\}\)