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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+3y=\frac{-117}{55}\\x+6y=\frac{-684}{55}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-5y=\frac{-917}{10}\\-6x-2y=\frac{-231}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x-5y=\frac{155}{44}\\-6x+y=\frac{-295}{44}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{376}{77}-5x\\2x-3y=\frac{300}{77}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-y=-56\\6x=3y+-111\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{13}{2}+5x\\x-y=\frac{-71}{40}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+5y=\frac{-19}{9}\\-x-y=\frac{4}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+5y=2\\-5x-y=\frac{106}{45}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{146}{21}+4x\\-4x-y=\frac{86}{21}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{221}{95}-2x\\x+y=\frac{141}{190}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-2y=\frac{-158}{45}\\x+y=\frac{353}{90}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{11}{15}-3x\\x-2y=\frac{61}{45}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+3y=\frac{-117}{55}\\x+6y=\frac{-684}{55}\end{matrix}\right.\qquad V=\{(\frac{-18}{11},\frac{-9}{5})\}\)
2. \(\left\{\begin{matrix}-x-5y=\frac{-917}{10}\\-6x-2y=\frac{-231}{5}\end{matrix}\right.\qquad V=\{(\frac{17}{10},18)\}\)
3. \(\left\{\begin{matrix}-3x-5y=\frac{155}{44}\\-6x+y=\frac{-295}{44}\end{matrix}\right.\qquad V=\{(\frac{10}{11},\frac{-5}{4})\}\)
4. \(\left\{\begin{matrix}y=\frac{376}{77}-5x\\2x-3y=\frac{300}{77}\end{matrix}\right.\qquad V=\{(\frac{12}{11},\frac{-4}{7})\}\)
5. \(\left\{\begin{matrix}3x-y=-56\\6x=3y+-111\end{matrix}\right.\qquad V=\{(-19,-1)\}\)
6. \(\left\{\begin{matrix}4y=\frac{13}{2}+5x\\x-y=\frac{-71}{40}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{19}{8})\}\)
7. \(\left\{\begin{matrix}4x+5y=\frac{-19}{9}\\-x-y=\frac{4}{9}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{-1}{3})\}\)
8. \(\left\{\begin{matrix}-6x+5y=2\\-5x-y=\frac{106}{45}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{-2}{15})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{146}{21}+4x\\-4x-y=\frac{86}{21}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-10}{7})\}\)
10. \(\left\{\begin{matrix}3y=\frac{221}{95}-2x\\x+y=\frac{141}{190}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{16}{19})\}\)
11. \(\left\{\begin{matrix}4x-2y=\frac{-158}{45}\\x+y=\frac{353}{90}\end{matrix}\right.\qquad V=\{(\frac{13}{18},\frac{16}{5})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{11}{15}-3x\\x-2y=\frac{61}{45}\end{matrix}\right.\qquad V=\{(\frac{-13}{15},\frac{-10}{9})\}\)