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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{15}{2}+4x\\-5x-y=\frac{27}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+4y=\frac{79}{10}\\2x=-y+\frac{38}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-3y=\frac{-149}{91}\\-6x=y+\frac{-951}{91}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-3y=\frac{-289}{182}\\4x-y=\frac{-255}{182}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-3y=\frac{-1335}{247}\\x=5y+\frac{-899}{247}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+y=\frac{83}{18}\\3x+4y=\frac{-5}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-y=\frac{73}{17}\\3x+4y=\frac{31}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+3y=\frac{-129}{4}\\-x=y+\frac{81}{8}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{223}{51}+3x\\-2x+y=\frac{-67}{153}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+6y=\frac{-103}{22}\\x-y=\frac{227}{110}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{128}{11}+3x\\-2x+y=\frac{87}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-6y=\frac{917}{9}\\-6x+6y=\frac{-304}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{15}{2}+4x\\-5x-y=\frac{27}{8}\end{matrix}\right.\qquad V=\{(\frac{1}{8},-4)\}\)
2. \(\left\{\begin{matrix}2x+4y=\frac{79}{10}\\2x=-y+\frac{38}{5}\end{matrix}\right.\qquad V=\{(\frac{15}{4},\frac{1}{10})\}\)
3. \(\left\{\begin{matrix}-2x-3y=\frac{-149}{91}\\-6x=y+\frac{-951}{91}\end{matrix}\right.\qquad V=\{(\frac{13}{7},\frac{-9}{13})\}\)
4. \(\left\{\begin{matrix}-5x-3y=\frac{-289}{182}\\4x-y=\frac{-255}{182}\end{matrix}\right.\qquad V=\{(\frac{-2}{13},\frac{11}{14})\}\)
5. \(\left\{\begin{matrix}4x-3y=\frac{-1335}{247}\\x=5y+\frac{-899}{247}\end{matrix}\right.\qquad V=\{(\frac{-18}{19},\frac{7}{13})\}\)
6. \(\left\{\begin{matrix}-4x+y=\frac{83}{18}\\3x+4y=\frac{-5}{9}\end{matrix}\right.\qquad V=\{(-1,\frac{11}{18})\}\)
7. \(\left\{\begin{matrix}4x-y=\frac{73}{17}\\3x+4y=\frac{31}{17}\end{matrix}\right.\qquad V=\{(1,\frac{-5}{17})\}\)
8. \(\left\{\begin{matrix}6x+3y=\frac{-129}{4}\\-x=y+\frac{81}{8}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},\frac{-19}{2})\}\)
9. \(\left\{\begin{matrix}6y=\frac{223}{51}+3x\\-2x+y=\frac{-67}{153}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{19}{17})\}\)
10. \(\left\{\begin{matrix}5x+6y=\frac{-103}{22}\\x-y=\frac{227}{110}\end{matrix}\right.\qquad V=\{(\frac{7}{10},\frac{-15}{11})\}\)
11. \(\left\{\begin{matrix}4y=\frac{128}{11}+3x\\-2x+y=\frac{87}{11}\end{matrix}\right.\qquad V=\{(-4,\frac{-1}{11})\}\)
12. \(\left\{\begin{matrix}x-6y=\frac{917}{9}\\-6x+6y=\frac{-304}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},-17)\}\)