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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-4y=\frac{5}{7}\\6x=y+\frac{24}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{101}{95}-2x\\6x-y=\frac{233}{95}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6y=\frac{-987}{38}+x\\-5x+4y=\frac{-368}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-3y=\frac{-17}{7}\\-3x-3y=\frac{-33}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{348}{119}+5x\\-2x-3y=\frac{316}{119}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{1}{4}+2x\\-x+6y=-1\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+6y=\frac{43}{12}\\-5x+y=\frac{125}{144}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{80}{11}-5x\\6x+y=\frac{71}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-3y=\frac{-39}{20}\\-4x=-y+\frac{-43}{20}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{138}{7}+6x\\3x+y=\frac{-213}{28}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=4-2x\\-x+y=0\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+2y=\frac{-161}{10}\\-3x-y=\frac{38}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-4y=\frac{5}{7}\\6x=y+\frac{24}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-3}{7})\}\)
2. \(\left\{\begin{matrix}-5y=\frac{101}{95}-2x\\6x-y=\frac{233}{95}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-1}{19})\}\)
3. \(\left\{\begin{matrix}6y=\frac{-987}{38}+x\\-5x+4y=\frac{-368}{19}\end{matrix}\right.\qquad V=\{(\frac{9}{19},\frac{-17}{4})\}\)
4. \(\left\{\begin{matrix}x-3y=\frac{-17}{7}\\-3x-3y=\frac{-33}{7}\end{matrix}\right.\qquad V=\{(\frac{4}{7},1)\}\)
5. \(\left\{\begin{matrix}-y=\frac{348}{119}+5x\\-2x-3y=\frac{316}{119}\end{matrix}\right.\qquad V=\{(\frac{-8}{17},\frac{-4}{7})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{1}{4}+2x\\-x+6y=-1\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-1}{8})\}\)
7. \(\left\{\begin{matrix}-4x+6y=\frac{43}{12}\\-5x+y=\frac{125}{144}\end{matrix}\right.\qquad V=\{(\frac{-1}{16},\frac{5}{9})\}\)
8. \(\left\{\begin{matrix}5y=\frac{80}{11}-5x\\6x+y=\frac{71}{11}\end{matrix}\right.\qquad V=\{(1,\frac{5}{11})\}\)
9. \(\left\{\begin{matrix}-2x-3y=\frac{-39}{20}\\-4x=-y+\frac{-43}{20}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{1}{4})\}\)
10. \(\left\{\begin{matrix}5y=\frac{138}{7}+6x\\3x+y=\frac{-213}{28}\end{matrix}\right.\qquad V=\{(\frac{-11}{4},\frac{9}{14})\}\)
11. \(\left\{\begin{matrix}-6y=4-2x\\-x+y=0\end{matrix}\right.\qquad V=\{(-1,-1)\}\)
12. \(\left\{\begin{matrix}3x+2y=\frac{-161}{10}\\-3x-y=\frac{38}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{-17}{2})\}\)