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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{135}{133}-6x\\-4x-2y=\frac{-34}{133}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{239}{52}+x\\-2x-2y=\frac{-1}{26}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x-y=\frac{-1}{6}\\-2x=2y+\frac{-13}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4y=\frac{9}{2}-4x\\x-3y=\frac{37}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-2y=\frac{-23}{3}\\-x=4y+\frac{-65}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+3y=\frac{179}{24}\\-3x+y=\frac{377}{72}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-3y=-10\\x=-6y+15\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-2y=\frac{101}{33}\\-x+y=\frac{17}{165}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{-151}{45}+6x\\x-4y=\frac{617}{90}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+4y=\frac{-25}{6}\\x=5y+\frac{31}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{114}{5}-4x\\-x-2y=\frac{-66}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-5y=\frac{-113}{19}\\3x-y=\frac{-193}{95}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{135}{133}-6x\\-4x-2y=\frac{-34}{133}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{-3}{19})\}\)
2. \(\left\{\begin{matrix}5y=\frac{239}{52}+x\\-2x-2y=\frac{-1}{26}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{10}{13})\}\)
3. \(\left\{\begin{matrix}-5x-y=\frac{-1}{6}\\-2x=2y+\frac{-13}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{8}{3})\}\)
4. \(\left\{\begin{matrix}4y=\frac{9}{2}-4x\\x-3y=\frac{37}{8}\end{matrix}\right.\qquad V=\{(2,\frac{-7}{8})\}\)
5. \(\left\{\begin{matrix}4x-2y=\frac{-23}{3}\\-x=4y+\frac{-65}{6}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{17}{6})\}\)
6. \(\left\{\begin{matrix}-3x+3y=\frac{179}{24}\\-3x+y=\frac{377}{72}\end{matrix}\right.\qquad V=\{(\frac{-11}{8},\frac{10}{9})\}\)
7. \(\left\{\begin{matrix}-3x-3y=-10\\x=-6y+15\end{matrix}\right.\qquad V=\{(1,\frac{7}{3})\}\)
8. \(\left\{\begin{matrix}-5x-2y=\frac{101}{33}\\-x+y=\frac{17}{165}\end{matrix}\right.\qquad V=\{(\frac{-7}{15},\frac{-4}{11})\}\)
9. \(\left\{\begin{matrix}4y=\frac{-151}{45}+6x\\x-4y=\frac{617}{90}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{-17}{9})\}\)
10. \(\left\{\begin{matrix}-5x+4y=\frac{-25}{6}\\x=5y+\frac{31}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-5}{12})\}\)
11. \(\left\{\begin{matrix}3y=\frac{114}{5}-4x\\-x-2y=\frac{-66}{5}\end{matrix}\right.\qquad V=\{(\frac{6}{5},6)\}\)
12. \(\left\{\begin{matrix}-5x-5y=\frac{-113}{19}\\3x-y=\frac{-193}{95}\end{matrix}\right.\qquad V=\{(\frac{-4}{19},\frac{7}{5})\}\)