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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-4y=\frac{4}{5}\\x-3y=\frac{28}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=\frac{768}{7}+6x\\x-4y=\frac{-150}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x-6y=\frac{-54}{5}\\-2x=y+\frac{3}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-y=\frac{13}{3}\\-6x=2y+\frac{41}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x-4y=\frac{175}{39}\\2x=-y+\frac{-125}{78}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-2y=\frac{18}{5}\\-5x+y=\frac{-1}{45}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-4y=\frac{592}{77}\\x=-2y+\frac{1}{77}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{-137}{20}+4x\\-x+3y=\frac{-113}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+2y=\frac{-92}{95}\\-x-y=\frac{61}{95}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+y=-16\\-6x+3y=-21\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+3y=\frac{120}{7}\\-3x=-5y+\frac{548}{21}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{23}{2}+6x\\-2x+4y=\frac{89}{6}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-4y=\frac{4}{5}\\x-3y=\frac{28}{5}\end{matrix}\right.\qquad V=\{(2,\frac{-6}{5})\}\)
2. \(\left\{\begin{matrix}2y=\frac{768}{7}+6x\\x-4y=\frac{-150}{7}\end{matrix}\right.\qquad V=\{(-18,\frac{6}{7})\}\)
3. \(\left\{\begin{matrix}6x-6y=\frac{-54}{5}\\-2x=y+\frac{3}{5}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},1)\}\)
4. \(\left\{\begin{matrix}-2x-y=\frac{13}{3}\\-6x=2y+\frac{41}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{2}{3})\}\)
5. \(\left\{\begin{matrix}-3x-4y=\frac{175}{39}\\2x=-y+\frac{-125}{78}\end{matrix}\right.\qquad V=\{(\frac{-5}{13},\frac{-5}{6})\}\)
6. \(\left\{\begin{matrix}-6x-2y=\frac{18}{5}\\-5x+y=\frac{-1}{45}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{-17}{15})\}\)
7. \(\left\{\begin{matrix}4x-4y=\frac{592}{77}\\x=-2y+\frac{1}{77}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{-7}{11})\}\)
8. \(\left\{\begin{matrix}3y=\frac{-137}{20}+4x\\-x+3y=\frac{-113}{20}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-7}{4})\}\)
9. \(\left\{\begin{matrix}4x+2y=\frac{-92}{95}\\-x-y=\frac{61}{95}\end{matrix}\right.\qquad V=\{(\frac{3}{19},\frac{-4}{5})\}\)
10. \(\left\{\begin{matrix}-5x+y=-16\\-6x+3y=-21\end{matrix}\right.\qquad V=\{(3,-1)\}\)
11. \(\left\{\begin{matrix}-x+3y=\frac{120}{7}\\-3x=-5y+\frac{548}{21}\end{matrix}\right.\qquad V=\{(\frac{13}{7},\frac{19}{3})\}\)
12. \(\left\{\begin{matrix}y=\frac{23}{2}+6x\\-2x+4y=\frac{89}{6}\end{matrix}\right.\qquad V=\{(\frac{-17}{12},3)\}\)