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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-4y=\frac{-202}{45}\\3x-y=\frac{-37}{30}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+y=\frac{255}{7}\\-3x=2y+\frac{-111}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x-4y=\frac{-238}{65}\\x-6y=\frac{-322}{65}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+5y=\frac{15}{4}\\4x-6y=-1\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x-4y=-28\\-x=2y+10\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x-4y=\frac{-113}{10}\\2x-2y=\frac{-47}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{100}{39}+2x\\-3x+y=\frac{86}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+4y=\frac{100}{9}\\x-6y=\frac{-166}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{-111}{17}-6x\\x+3y=\frac{-193}{68}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+y=\frac{-4}{5}\\-6x-3y=\frac{-33}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{-47}{10}+2x\\-x-2y=\frac{49}{20}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-3y=\frac{63}{16}\\3x=-2y+\frac{-77}{8}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-4y=\frac{-202}{45}\\3x-y=\frac{-37}{30}\end{matrix}\right.\qquad V=\{(\frac{-1}{18},\frac{16}{15})\}\)
2. \(\left\{\begin{matrix}6x+y=\frac{255}{7}\\-3x=2y+\frac{-111}{7}\end{matrix}\right.\qquad V=\{(\frac{19}{3},\frac{-11}{7})\}\)
3. \(\left\{\begin{matrix}3x-4y=\frac{-238}{65}\\x-6y=\frac{-322}{65}\end{matrix}\right.\qquad V=\{(\frac{-2}{13},\frac{4}{5})\}\)
4. \(\left\{\begin{matrix}-x+5y=\frac{15}{4}\\4x-6y=-1\end{matrix}\right.\qquad V=\{(\frac{5}{4},1)\}\)
5. \(\left\{\begin{matrix}-5x-4y=-28\\-x=2y+10\end{matrix}\right.\qquad V=\{(16,-13)\}\)
6. \(\left\{\begin{matrix}x-4y=\frac{-113}{10}\\2x-2y=\frac{-47}{5}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{11}{5})\}\)
7. \(\left\{\begin{matrix}2y=\frac{100}{39}+2x\\-3x+y=\frac{86}{13}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{-18}{13})\}\)
8. \(\left\{\begin{matrix}2x+4y=\frac{100}{9}\\x-6y=\frac{-166}{9}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},3)\}\)
9. \(\left\{\begin{matrix}4y=\frac{-111}{17}-6x\\x+3y=\frac{-193}{68}\end{matrix}\right.\qquad V=\{(\frac{-10}{17},\frac{-3}{4})\}\)
10. \(\left\{\begin{matrix}-x+y=\frac{-4}{5}\\-6x-3y=\frac{-33}{5}\end{matrix}\right.\qquad V=\{(1,\frac{1}{5})\}\)
11. \(\left\{\begin{matrix}4y=\frac{-47}{10}+2x\\-x-2y=\frac{49}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{20},\frac{-6}{5})\}\)
12. \(\left\{\begin{matrix}-x-3y=\frac{63}{16}\\3x=-2y+\frac{-77}{8}\end{matrix}\right.\qquad V=\{(-3,\frac{-5}{16})\}\)