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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{-118}{195}+2x\\-4x-5y=\frac{-1136}{195}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+4y=\frac{1}{5}\\-x=-y+\frac{-33}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-2y=\frac{-59}{3}\\3x=-2y+15\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x+6y=\frac{-1239}{52}\\x=y+\frac{239}{52}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+6y=\frac{-189}{22}\\-3x+y=\frac{-59}{22}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-6y=\frac{63}{4}\\-4x-y=4\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{-169}{20}-3x\\x-4y=\frac{-31}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x-4y=\frac{98}{9}\\x-6y=\frac{19}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{-349}{204}-5x\\5x-y=\frac{-217}{204}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+5y=\frac{-97}{9}\\4x+y=\frac{-59}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-3y=\frac{263}{63}\\3x=-y+\frac{173}{21}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{-261}{44}+3x\\-2x+y=\frac{-79}{22}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{-118}{195}+2x\\-4x-5y=\frac{-1136}{195}\end{matrix}\right.\qquad V=\{(\frac{-7}{15},\frac{20}{13})\}\)
2. \(\left\{\begin{matrix}4x+4y=\frac{1}{5}\\-x=-y+\frac{-33}{20}\end{matrix}\right.\qquad V=\{(\frac{17}{20},\frac{-4}{5})\}\)
3. \(\left\{\begin{matrix}-x-2y=\frac{-59}{3}\\3x=-2y+15\end{matrix}\right.\qquad V=\{(\frac{-7}{3},11)\}\)
4. \(\left\{\begin{matrix}-5x+6y=\frac{-1239}{52}\\x=y+\frac{239}{52}\end{matrix}\right.\qquad V=\{(\frac{15}{4},\frac{-11}{13})\}\)
5. \(\left\{\begin{matrix}-3x+6y=\frac{-189}{22}\\-3x+y=\frac{-59}{22}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-13}{11})\}\)
6. \(\left\{\begin{matrix}-2x-6y=\frac{63}{4}\\-4x-y=4\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{-5}{2})\}\)
7. \(\left\{\begin{matrix}3y=\frac{-169}{20}-3x\\x-4y=\frac{-31}{15}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{-3}{20})\}\)
8. \(\left\{\begin{matrix}-6x-4y=\frac{98}{9}\\x-6y=\frac{19}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{-11}{9})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{-349}{204}-5x\\5x-y=\frac{-217}{204}\end{matrix}\right.\qquad V=\{(\frac{-1}{12},\frac{11}{17})\}\)
10. \(\left\{\begin{matrix}2x+5y=\frac{-97}{9}\\4x+y=\frac{-59}{9}\end{matrix}\right.\qquad V=\{(\frac{-11}{9},\frac{-5}{3})\}\)
11. \(\left\{\begin{matrix}4x-3y=\frac{263}{63}\\3x=-y+\frac{173}{21}\end{matrix}\right.\qquad V=\{(\frac{20}{9},\frac{11}{7})\}\)
12. \(\left\{\begin{matrix}2y=\frac{-261}{44}+3x\\-2x+y=\frac{-79}{22}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-12}{11})\}\)