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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x-y=\frac{-35}{18}\\3x-5y=\frac{-47}{18}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-4y=\frac{-64}{57}\\-5x-y=\frac{98}{57}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x-5y=\frac{-3}{2}\\-x-3y=\frac{51}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+3y=\frac{677}{136}\\-x+y=\frac{-41}{136}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{22}{3}+4x\\-4x+2y=\frac{28}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+5y=\frac{-299}{20}\\5x=-y+\frac{-15}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{-41}{2}+5x\\x+y=\frac{-31}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-y=\frac{13}{30}\\-6x+3y=\frac{19}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+6y=18\\-3x=y+\frac{-7}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{-21}{2}+5x\\x-6y=\frac{-31}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x+2y=-22\\6x=y+-29\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-3y=\frac{-8}{19}\\-4x+y=\frac{-182}{57}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x-y=\frac{-35}{18}\\3x-5y=\frac{-47}{18}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{19}{18})\}\)
2. \(\left\{\begin{matrix}4x-4y=\frac{-64}{57}\\-5x-y=\frac{98}{57}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-1}{19})\}\)
3. \(\left\{\begin{matrix}5x-5y=\frac{-3}{2}\\-x-3y=\frac{51}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-6}{5})\}\)
4. \(\left\{\begin{matrix}2x+3y=\frac{677}{136}\\-x+y=\frac{-41}{136}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{7}{8})\}\)
5. \(\left\{\begin{matrix}-y=\frac{22}{3}+4x\\-4x+2y=\frac{28}{3}\end{matrix}\right.\qquad V=\{(-2,\frac{2}{3})\}\)
6. \(\left\{\begin{matrix}6x+5y=\frac{-299}{20}\\5x=-y+\frac{-15}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{-11}{4})\}\)
7. \(\left\{\begin{matrix}2y=\frac{-41}{2}+5x\\x+y=\frac{-31}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},-14)\}\)
8. \(\left\{\begin{matrix}x-y=\frac{13}{30}\\-6x+3y=\frac{19}{10}\end{matrix}\right.\qquad V=\{(\frac{-16}{15},\frac{-3}{2})\}\)
9. \(\left\{\begin{matrix}6x+6y=18\\-3x=y+\frac{-7}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{10}{3})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{-21}{2}+5x\\x-6y=\frac{-31}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{8}{3})\}\)
11. \(\left\{\begin{matrix}4x+2y=-22\\6x=y+-29\end{matrix}\right.\qquad V=\{(-5,-1)\}\)
12. \(\left\{\begin{matrix}-3x-3y=\frac{-8}{19}\\-4x+y=\frac{-182}{57}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-10}{19})\}\)