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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+3y=23\\5x=y+66\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-2y=\frac{41}{10}\\-x+4y=\frac{61}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{419}{117}-x\\-6x+4y=\frac{170}{39}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+3y=-6\\-5x+y=\frac{-59}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+y=\frac{-269}{17}\\-5x-5y=\frac{-1745}{51}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-4y=\frac{-670}{63}\\-2x+y=\frac{241}{63}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+y=\frac{141}{104}\\2x=5y+\frac{-81}{104}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{41}{2}+x\\5x-4y=-57\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{73}{10}-6x\\5x-y=\frac{7}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-3y=\frac{-23}{4}\\5x-y=\frac{-41}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{-7}{9}-5x\\6x+4y=\frac{5}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+5y=\frac{-497}{30}\\3x-3y=\frac{97}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+3y=23\\5x=y+66\end{matrix}\right.\qquad V=\{(13,-1)\}\)
2. \(\left\{\begin{matrix}-2x-2y=\frac{41}{10}\\-x+4y=\frac{61}{20}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{1}{5})\}\)
3. \(\left\{\begin{matrix}4y=\frac{419}{117}-x\\-6x+4y=\frac{170}{39}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{12}{13})\}\)
4. \(\left\{\begin{matrix}-6x+3y=-6\\-5x+y=\frac{-59}{7}\end{matrix}\right.\qquad V=\{(\frac{15}{7},\frac{16}{7})\}\)
5. \(\left\{\begin{matrix}-3x+y=\frac{-269}{17}\\-5x-5y=\frac{-1745}{51}\end{matrix}\right.\qquad V=\{(\frac{17}{3},\frac{20}{17})\}\)
6. \(\left\{\begin{matrix}5x-4y=\frac{-670}{63}\\-2x+y=\frac{241}{63}\end{matrix}\right.\qquad V=\{(\frac{-14}{9},\frac{5}{7})\}\)
7. \(\left\{\begin{matrix}6x+y=\frac{141}{104}\\2x=5y+\frac{-81}{104}\end{matrix}\right.\qquad V=\{(\frac{3}{16},\frac{3}{13})\}\)
8. \(\left\{\begin{matrix}6y=\frac{41}{2}+x\\5x-4y=-57\end{matrix}\right.\qquad V=\{(-10,\frac{7}{4})\}\)
9. \(\left\{\begin{matrix}5y=\frac{73}{10}-6x\\5x-y=\frac{7}{2}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{1}{2})\}\)
10. \(\left\{\begin{matrix}-5x-3y=\frac{-23}{4}\\5x-y=\frac{-41}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},4)\}\)
11. \(\left\{\begin{matrix}-y=\frac{-7}{9}-5x\\6x+4y=\frac{5}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{18},\frac{1}{2})\}\)
12. \(\left\{\begin{matrix}-x+5y=\frac{-497}{30}\\3x-3y=\frac{97}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{-10}{3})\}\)