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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{4}{5}-x\\6x-4y=\frac{104}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{-121}{130}+2x\\2x-y=\frac{147}{130}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-6y=\frac{447}{7}\\-x-6y=\frac{407}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{-46}{5}+2x\\5x+y=\frac{97}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x-y=\frac{-17}{198}\\-2x=-2y+\frac{-127}{99}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+4y=\frac{-52}{5}\\-x+6y=\frac{27}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-5y=\frac{640}{7}\\-5x+y=\frac{-158}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-4y=\frac{-373}{30}\\-x-5y=\frac{-1009}{60}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-y=\frac{-50}{11}\\5x+6y=\frac{91}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-6y=\frac{-47}{4}\\-3x-y=\frac{-23}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-5y=\frac{-35}{2}\\-6x-y=\frac{-41}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-y=\frac{88}{7}\\6x=-3y+\frac{-24}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{4}{5}-x\\6x-4y=\frac{104}{5}\end{matrix}\right.\qquad V=\{(4,\frac{4}{5})\}\)
2. \(\left\{\begin{matrix}3y=\frac{-121}{130}+2x\\2x-y=\frac{147}{130}\end{matrix}\right.\qquad V=\{(\frac{8}{13},\frac{1}{10})\}\)
3. \(\left\{\begin{matrix}-6x-6y=\frac{447}{7}\\-x-6y=\frac{407}{7}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{-19}{2})\}\)
4. \(\left\{\begin{matrix}2y=\frac{-46}{5}+2x\\5x+y=\frac{97}{5}\end{matrix}\right.\qquad V=\{(4,\frac{-3}{5})\}\)
5. \(\left\{\begin{matrix}-x-y=\frac{-17}{198}\\-2x=-2y+\frac{-127}{99}\end{matrix}\right.\qquad V=\{(\frac{4}{11},\frac{-5}{18})\}\)
6. \(\left\{\begin{matrix}4x+4y=\frac{-52}{5}\\-x+6y=\frac{27}{5}\end{matrix}\right.\qquad V=\{(-3,\frac{2}{5})\}\)
7. \(\left\{\begin{matrix}-5x-5y=\frac{640}{7}\\-5x+y=\frac{-158}{7}\end{matrix}\right.\qquad V=\{(\frac{5}{7},-19)\}\)
8. \(\left\{\begin{matrix}6x-4y=\frac{-373}{30}\\-x-5y=\frac{-1009}{60}\end{matrix}\right.\qquad V=\{(\frac{3}{20},\frac{10}{3})\}\)
9. \(\left\{\begin{matrix}-4x-y=\frac{-50}{11}\\5x+6y=\frac{91}{11}\end{matrix}\right.\qquad V=\{(1,\frac{6}{11})\}\)
10. \(\left\{\begin{matrix}-5x-6y=\frac{-47}{4}\\-3x-y=\frac{-23}{4}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{1}{2})\}\)
11. \(\left\{\begin{matrix}4x-5y=\frac{-35}{2}\\-6x-y=\frac{-41}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{11}{2})\}\)
12. \(\left\{\begin{matrix}6x-y=\frac{88}{7}\\6x=-3y+\frac{-24}{7}\end{matrix}\right.\qquad V=\{(\frac{10}{7},-4)\}\)