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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{129}{4}+3x\\6x-y=\frac{-21}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-4y=\frac{82}{45}\\-4x+4y=\frac{-22}{45}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{133}{39}-x\\6x-4y=\frac{122}{39}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+y=\frac{-77}{17}\\2x+6y=\frac{58}{17}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=10-2x\\-6x+4y=-34\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+3y=\frac{35}{2}\\-x=y+\frac{-43}{12}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+2y=\frac{28}{11}\\2x=6y+\frac{-54}{11}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+y=\frac{-163}{70}\\-2x-2y=\frac{43}{35}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{633}{130}+3x\\-3x-y=\frac{363}{130}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=\frac{41}{4}+6x\\-x+5y=\frac{71}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+4y=\frac{73}{8}\\6x=y+\frac{-17}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{398}{11}+2x\\2x+y=\frac{269}{33}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{129}{4}+3x\\6x-y=\frac{-21}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},6)\}\)
2. \(\left\{\begin{matrix}-x-4y=\frac{82}{45}\\-4x+4y=\frac{-22}{45}\end{matrix}\right.\qquad V=\{(\frac{-4}{15},\frac{-7}{18})\}\)
3. \(\left\{\begin{matrix}-5y=\frac{133}{39}-x\\6x-4y=\frac{122}{39}\end{matrix}\right.\qquad V=\{(\frac{1}{13},\frac{-2}{3})\}\)
4. \(\left\{\begin{matrix}-4x+y=\frac{-77}{17}\\2x+6y=\frac{58}{17}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{3}{17})\}\)
5. \(\left\{\begin{matrix}-y=10-2x\\-6x+4y=-34\end{matrix}\right.\qquad V=\{(3,-4)\}\)
6. \(\left\{\begin{matrix}6x+3y=\frac{35}{2}\\-x=y+\frac{-43}{12}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{4}{3})\}\)
7. \(\left\{\begin{matrix}x+2y=\frac{28}{11}\\2x=6y+\frac{-54}{11}\end{matrix}\right.\qquad V=\{(\frac{6}{11},1)\}\)
8. \(\left\{\begin{matrix}-5x+y=\frac{-163}{70}\\-2x-2y=\frac{43}{35}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{-9}{10})\}\)
9. \(\left\{\begin{matrix}-4y=\frac{633}{130}+3x\\-3x-y=\frac{363}{130}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{-9}{13})\}\)
10. \(\left\{\begin{matrix}-5y=\frac{41}{4}+6x\\-x+5y=\frac{71}{4}\end{matrix}\right.\qquad V=\{(-4,\frac{11}{4})\}\)
11. \(\left\{\begin{matrix}-3x+4y=\frac{73}{8}\\6x=y+\frac{-17}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},2)\}\)
12. \(\left\{\begin{matrix}6y=\frac{398}{11}+2x\\2x+y=\frac{269}{33}\end{matrix}\right.\qquad V=\{(\frac{10}{11},\frac{19}{3})\}\)