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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+3y=\frac{56}{5}\\-x=-2y+\frac{82}{15}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-6y=\frac{-9}{2}\\x+y=\frac{-5}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x+6y=\frac{64}{21}\\-3x+y=\frac{-244}{63}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+4y=\frac{32}{57}\\x-3y=\frac{-205}{171}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+y=\frac{46}{11}\\-2x=5y+\frac{-218}{11}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-4y=\frac{-41}{7}\\-6x=-y+\frac{-201}{28}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-2y=\frac{-97}{21}\\-5x=-y+\frac{467}{84}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{16}{15}-4x\\x-6y=\frac{-42}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-6y=\frac{-354}{11}\\-2x-y=\frac{-43}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{-100}{13}+2x\\6x+y=\frac{-25}{13}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+y=\frac{-49}{66}\\-6x-5y=\frac{39}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-6y=\frac{133}{10}\\x=-6y+\frac{-83}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+3y=\frac{56}{5}\\-x=-2y+\frac{82}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{12}{5})\}\)
2. \(\left\{\begin{matrix}6x-6y=\frac{-9}{2}\\x+y=\frac{-5}{4}\end{matrix}\right.\qquad V=\{(-1,\frac{-1}{4})\}\)
3. \(\left\{\begin{matrix}5x+6y=\frac{64}{21}\\-3x+y=\frac{-244}{63}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{-4}{9})\}\)
4. \(\left\{\begin{matrix}-6x+4y=\frac{32}{57}\\x-3y=\frac{-205}{171}\end{matrix}\right.\qquad V=\{(\frac{2}{9},\frac{9}{19})\}\)
5. \(\left\{\begin{matrix}-2x+y=\frac{46}{11}\\-2x=5y+\frac{-218}{11}\end{matrix}\right.\qquad V=\{(\frac{-1}{11},4)\}\)
6. \(\left\{\begin{matrix}2x-4y=\frac{-41}{7}\\-6x=-y+\frac{-201}{28}\end{matrix}\right.\qquad V=\{(\frac{11}{7},\frac{9}{4})\}\)
7. \(\left\{\begin{matrix}4x-2y=\frac{-97}{21}\\-5x=-y+\frac{467}{84}\end{matrix}\right.\qquad V=\{(\frac{-13}{12},\frac{1}{7})\}\)
8. \(\left\{\begin{matrix}2y=\frac{16}{15}-4x\\x-6y=\frac{-42}{5}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{4}{3})\}\)
9. \(\left\{\begin{matrix}4x-6y=\frac{-354}{11}\\-2x-y=\frac{-43}{11}\end{matrix}\right.\qquad V=\{(\frac{-6}{11},5)\}\)
10. \(\left\{\begin{matrix}-2y=\frac{-100}{13}+2x\\6x+y=\frac{-25}{13}\end{matrix}\right.\qquad V=\{(\frac{-15}{13},5)\}\)
11. \(\left\{\begin{matrix}x+y=\frac{-49}{66}\\-6x-5y=\frac{39}{11}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{-10}{11})\}\)
12. \(\left\{\begin{matrix}-2x-6y=\frac{133}{10}\\x=-6y+\frac{-83}{10}\end{matrix}\right.\qquad V=\{(-5,\frac{-11}{20})\}\)