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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{-151}{6}+2x\\x+2y=\frac{319}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+5y=\frac{-1753}{70}\\x=-4y+\frac{-11}{35}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{-52}{21}-x\\-5x-6y=\frac{-2}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-4y=\frac{143}{10}\\5x+3y=-12\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{267}{70}+6x\\-x+3y=\frac{-681}{140}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x-5y=\frac{1184}{221}\\-x=3y+\frac{724}{221}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-2y=\frac{-17}{52}\\-5x+y=\frac{-245}{52}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+5y=\frac{39}{4}\\3x+y=\frac{43}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-3y=\frac{8}{3}\\x=-y+\frac{4}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+3y=\frac{419}{42}\\4x+y=\frac{-173}{63}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-2y=\frac{13}{3}\\2x+y=\frac{-13}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=31+6x\\-x-y=\frac{29}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{-151}{6}+2x\\x+2y=\frac{319}{12}\end{matrix}\right.\qquad V=\{(\frac{-17}{12},14)\}\)
2. \(\left\{\begin{matrix}-6x+5y=\frac{-1753}{70}\\x=-4y+\frac{-11}{35}\end{matrix}\right.\qquad V=\{(\frac{17}{5},\frac{-13}{14})\}\)
3. \(\left\{\begin{matrix}5y=\frac{-52}{21}-x\\-5x-6y=\frac{-2}{7}\end{matrix}\right.\qquad V=\{(\frac{6}{7},\frac{-2}{3})\}\)
4. \(\left\{\begin{matrix}-x-4y=\frac{143}{10}\\5x+3y=-12\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{-7}{2})\}\)
5. \(\left\{\begin{matrix}-3y=\frac{267}{70}+6x\\-x+3y=\frac{-681}{140}\end{matrix}\right.\qquad V=\{(\frac{3}{20},\frac{-11}{7})\}\)
6. \(\left\{\begin{matrix}-3x-5y=\frac{1184}{221}\\-x=3y+\frac{724}{221}\end{matrix}\right.\qquad V=\{(\frac{1}{13},\frac{-19}{17})\}\)
7. \(\left\{\begin{matrix}-5x-2y=\frac{-17}{52}\\-5x+y=\frac{-245}{52}\end{matrix}\right.\qquad V=\{(\frac{13}{20},\frac{-19}{13})\}\)
8. \(\left\{\begin{matrix}4x+5y=\frac{39}{4}\\3x+y=\frac{43}{4}\end{matrix}\right.\qquad V=\{(4,\frac{-5}{4})\}\)
9. \(\left\{\begin{matrix}5x-3y=\frac{8}{3}\\x=-y+\frac{4}{9}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-1}{18})\}\)
10. \(\left\{\begin{matrix}-3x+3y=\frac{419}{42}\\4x+y=\frac{-173}{63}\end{matrix}\right.\qquad V=\{(\frac{-17}{14},\frac{19}{9})\}\)
11. \(\left\{\begin{matrix}-4x-2y=\frac{13}{3}\\2x+y=\frac{-13}{6}\end{matrix}\right.\qquad V=\{(\frac{-19}{12},1)\}\)
12. \(\left\{\begin{matrix}-2y=31+6x\\-x-y=\frac{29}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},-14)\}\)