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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-4y=\frac{203}{5}\\-4x=y+\frac{56}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-4y=-4\\6x+y=\frac{-110}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{64}{21}+2x\\4x+y=\frac{136}{21}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+4y=\frac{605}{136}\\2x=y+\frac{173}{68}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x-y=\frac{-115}{14}\\6x+2y=\frac{393}{35}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{-62}{5}+3x\\-x-2y=\frac{21}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{16}{45}-4x\\x+2y=\frac{-116}{45}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-2y=\frac{-116}{9}\\6x+y=\frac{305}{18}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+3y=\frac{489}{170}\\x+y=\frac{163}{170}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x+6y=\frac{1202}{77}\\3x+6y=\frac{1230}{77}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-2y=\frac{-332}{21}\\6x=-y+\frac{220}{21}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{606}{17}-5x\\-x+5y=\frac{-182}{17}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-4y=\frac{203}{5}\\-4x=y+\frac{56}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},-10)\}\)
2. \(\left\{\begin{matrix}4x-4y=-4\\6x+y=\frac{-110}{9}\end{matrix}\right.\qquad V=\{(\frac{-17}{9},\frac{-8}{9})\}\)
3. \(\left\{\begin{matrix}5y=\frac{64}{21}+2x\\4x+y=\frac{136}{21}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{8}{7})\}\)
4. \(\left\{\begin{matrix}5x+4y=\frac{605}{136}\\2x=y+\frac{173}{68}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{-5}{17})\}\)
5. \(\left\{\begin{matrix}-5x-y=\frac{-115}{14}\\6x+2y=\frac{393}{35}\end{matrix}\right.\qquad V=\{(\frac{13}{10},\frac{12}{7})\}\)
6. \(\left\{\begin{matrix}4y=\frac{-62}{5}+3x\\-x-2y=\frac{21}{5}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-5}{2})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{16}{45}-4x\\x+2y=\frac{-116}{45}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{-16}{15})\}\)
8. \(\left\{\begin{matrix}-5x-2y=\frac{-116}{9}\\6x+y=\frac{305}{18}\end{matrix}\right.\qquad V=\{(3,\frac{-19}{18})\}\)
9. \(\left\{\begin{matrix}3x+3y=\frac{489}{170}\\x+y=\frac{163}{170}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{18}{17})\}\)
10. \(\left\{\begin{matrix}x+6y=\frac{1202}{77}\\3x+6y=\frac{1230}{77}\end{matrix}\right.\qquad V=\{(\frac{2}{11},\frac{18}{7})\}\)
11. \(\left\{\begin{matrix}-6x-2y=\frac{-332}{21}\\6x=-y+\frac{220}{21}\end{matrix}\right.\qquad V=\{(\frac{6}{7},\frac{16}{3})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{606}{17}-5x\\-x+5y=\frac{-182}{17}\end{matrix}\right.\qquad V=\{(6,\frac{-16}{17})\}\)