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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x-3y=\frac{-56}{45}\\2x=5y+\frac{-37}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+5y=\frac{371}{45}\\x-4y=\frac{-172}{45}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x-y=\frac{-718}{85}\\5x=-6y+\frac{-155}{17}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-5y=\frac{41}{90}\\-3x=y+\frac{-143}{90}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+2y=\frac{-17}{5}\\6x+y=\frac{4}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=\frac{135}{8}+5x\\x-4y=\frac{-21}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+y=\frac{-49}{9}\\-2x-5y=\frac{-7}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x+4y=\frac{-68}{5}\\-3x=-y+\frac{-67}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{47}{6}+6x\\-x-2y=\frac{20}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{103}{2}-4x\\6x+y=\frac{83}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+4y=\frac{-31}{13}\\x=-y+\frac{-171}{52}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-6y=\frac{123}{8}\\4x=y+3\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x-3y=\frac{-56}{45}\\2x=5y+\frac{-37}{9}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},\frac{3}{5})\}\)
2. \(\left\{\begin{matrix}2x+5y=\frac{371}{45}\\x-4y=\frac{-172}{45}\end{matrix}\right.\qquad V=\{(\frac{16}{15},\frac{11}{9})\}\)
3. \(\left\{\begin{matrix}3x-y=\frac{-718}{85}\\5x=-6y+\frac{-155}{17}\end{matrix}\right.\qquad V=\{(\frac{-13}{5},\frac{11}{17})\}\)
4. \(\left\{\begin{matrix}6x-5y=\frac{41}{90}\\-3x=y+\frac{-143}{90}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{7}{18})\}\)
5. \(\left\{\begin{matrix}-3x+2y=\frac{-17}{5}\\6x+y=\frac{4}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-6}{5})\}\)
6. \(\left\{\begin{matrix}5y=\frac{135}{8}+5x\\x-4y=\frac{-21}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{19}{8})\}\)
7. \(\left\{\begin{matrix}6x+y=\frac{-49}{9}\\-2x-5y=\frac{-7}{9}\end{matrix}\right.\qquad V=\{(-1,\frac{5}{9})\}\)
8. \(\left\{\begin{matrix}-2x+4y=\frac{-68}{5}\\-3x=-y+\frac{-67}{5}\end{matrix}\right.\qquad V=\{(4,\frac{-7}{5})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{47}{6}+6x\\-x-2y=\frac{20}{9}\end{matrix}\right.\qquad V=\{(-1,\frac{-11}{18})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{103}{2}-4x\\6x+y=\frac{83}{2}\end{matrix}\right.\qquad V=\{(8,\frac{-13}{2})\}\)
11. \(\left\{\begin{matrix}-3x+4y=\frac{-31}{13}\\x=-y+\frac{-171}{52}\end{matrix}\right.\qquad V=\{(\frac{-20}{13},\frac{-7}{4})\}\)
12. \(\left\{\begin{matrix}3x-6y=\frac{123}{8}\\4x=y+3\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{-5}{2})\}\)