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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{59}{9}-x\\-2x+4y=\frac{-14}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{8}{7}+x\\5x-5y=\frac{45}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x+4y=\frac{-398}{5}\\5x=-5y+-102\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+2y=\frac{78}{11}\\x=6y+\frac{178}{33}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{117}{5}+6x\\-x-6y=\frac{-13}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+6y=\frac{53}{9}\\x+6y=\frac{43}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+y=\frac{33}{26}\\5x+5y=\frac{165}{26}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{249}{38}-6x\\3x+y=\frac{261}{76}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+5y=\frac{-7}{2}\\x=5y+\frac{11}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{869}{170}+6x\\x-2y=\frac{-123}{340}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{8}{45}-2x\\-x+y=\frac{77}{45}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{-317}{85}-x\\3x-3y=\frac{137}{85}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{59}{9}-x\\-2x+4y=\frac{-14}{3}\end{matrix}\right.\qquad V=\{(\frac{2}{9},\frac{-19}{18})\}\)
2. \(\left\{\begin{matrix}3y=\frac{8}{7}+x\\5x-5y=\frac{45}{7}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{17}{14})\}\)
3. \(\left\{\begin{matrix}-x+4y=\frac{-398}{5}\\5x=-5y+-102\end{matrix}\right.\qquad V=\{(\frac{-2}{5},-20)\}\)
4. \(\left\{\begin{matrix}-3x+2y=\frac{78}{11}\\x=6y+\frac{178}{33}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-16}{11})\}\)
5. \(\left\{\begin{matrix}3y=\frac{117}{5}+6x\\-x-6y=\frac{-13}{10}\end{matrix}\right.\qquad V=\{(\frac{-7}{2},\frac{4}{5})\}\)
6. \(\left\{\begin{matrix}-4x+6y=\frac{53}{9}\\x+6y=\frac{43}{9}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{5}{6})\}\)
7. \(\left\{\begin{matrix}x+y=\frac{33}{26}\\5x+5y=\frac{165}{26}\end{matrix}\right.\qquad V=\{(\frac{10}{13},\frac{1}{2})\}\)
8. \(\left\{\begin{matrix}3y=\frac{249}{38}-6x\\3x+y=\frac{261}{76}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-6}{19})\}\)
9. \(\left\{\begin{matrix}-4x+5y=\frac{-7}{2}\\x=5y+\frac{11}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-1}{2})\}\)
10. \(\left\{\begin{matrix}2y=\frac{869}{170}+6x\\x-2y=\frac{-123}{340}\end{matrix}\right.\qquad V=\{(\frac{-19}{20},\frac{-5}{17})\}\)
11. \(\left\{\begin{matrix}4y=\frac{8}{45}-2x\\-x+y=\frac{77}{45}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{3}{5})\}\)
12. \(\left\{\begin{matrix}3y=\frac{-317}{85}-x\\3x-3y=\frac{137}{85}\end{matrix}\right.\qquad V=\{(\frac{-9}{17},\frac{-16}{15})\}\)