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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+2y=\frac{-266}{45}\\-3x-y=\frac{-323}{180}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+5y=\frac{109}{6}\\-x=-y+\frac{47}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{-9}{4}-3x\\6x-y=\frac{-19}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{-61}{18}+2x\\6x-6y=\frac{47}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{-83}{40}-x\\-5x+2y=\frac{-15}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+4y=\frac{199}{21}\\-x-y=\frac{29}{21}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{-36}{7}+2x\\x+4y=\frac{-10}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-5y=\frac{245}{48}\\-5x=5y+\frac{325}{48}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{-38}{15}-3x\\-x+y=\frac{17}{30}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-5y=70\\-x-4y=-12\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+2y=\frac{5}{2}\\-x+4y=-6\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-y=\frac{416}{51}\\4x-3y=\frac{500}{51}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+2y=\frac{-266}{45}\\-3x-y=\frac{-323}{180}\end{matrix}\right.\qquad V=\{(\frac{19}{20},\frac{-19}{18})\}\)
2. \(\left\{\begin{matrix}4x+5y=\frac{109}{6}\\-x=-y+\frac{47}{6}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{11}{2})\}\)
3. \(\left\{\begin{matrix}-3y=\frac{-9}{4}-3x\\6x-y=\frac{-19}{2}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},-1)\}\)
4. \(\left\{\begin{matrix}y=\frac{-61}{18}+2x\\6x-6y=\frac{47}{3}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{-11}{6})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{-83}{40}-x\\-5x+2y=\frac{-15}{8}\end{matrix}\right.\qquad V=\{(\frac{11}{20},\frac{7}{16})\}\)
6. \(\left\{\begin{matrix}-5x+4y=\frac{199}{21}\\-x-y=\frac{29}{21}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{2}{7})\}\)
7. \(\left\{\begin{matrix}6y=\frac{-36}{7}+2x\\x+4y=\frac{-10}{7}\end{matrix}\right.\qquad V=\{(\frac{6}{7},\frac{-4}{7})\}\)
8. \(\left\{\begin{matrix}-x-5y=\frac{245}{48}\\-5x=5y+\frac{325}{48}\end{matrix}\right.\qquad V=\{(\frac{-5}{12},\frac{-15}{16})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{-38}{15}-3x\\-x+y=\frac{17}{30}\end{matrix}\right.\qquad V=\{(\frac{-7}{5},\frac{-5}{6})\}\)
10. \(\left\{\begin{matrix}3x-5y=70\\-x-4y=-12\end{matrix}\right.\qquad V=\{(20,-2)\}\)
11. \(\left\{\begin{matrix}5x+2y=\frac{5}{2}\\-x+4y=-6\end{matrix}\right.\qquad V=\{(1,\frac{-5}{4})\}\)
12. \(\left\{\begin{matrix}4x-y=\frac{416}{51}\\4x-3y=\frac{500}{51}\end{matrix}\right.\qquad V=\{(\frac{11}{6},\frac{-14}{17})\}\)