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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3y=\frac{664}{99}+4x\\3x+y=\frac{-196}{33}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-3y=\frac{-176}{5}\\2x+y=\frac{12}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-3y=\frac{-79}{4}\\2x=-6y+\frac{79}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{461}{56}-3x\\6x-y=\frac{481}{56}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+2y=\frac{45}{14}\\-3x=y+\frac{93}{14}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+4y=\frac{19}{7}\\x=-y+\frac{17}{28}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-3y=\frac{-266}{13}\\-x+5y=\frac{374}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-5y=\frac{-62}{9}\\3x-y=\frac{46}{45}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-4y=\frac{172}{45}\\x-5y=\frac{14}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-3y=\frac{31}{21}\\-x+2y=\frac{1}{63}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+y=\frac{7}{26}\\2x=-4y+\frac{-30}{13}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+6y=\frac{34}{3}\\x+2y=6\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3y=\frac{664}{99}+4x\\3x+y=\frac{-196}{33}\end{matrix}\right.\qquad V=\{(\frac{-20}{9},\frac{8}{11})\}\)
2. \(\left\{\begin{matrix}4x-3y=\frac{-176}{5}\\2x+y=\frac{12}{5}\end{matrix}\right.\qquad V=\{(\frac{-14}{5},8)\}\)
3. \(\left\{\begin{matrix}-x-3y=\frac{-79}{4}\\2x=-6y+\frac{79}{2}\end{matrix}\right.\qquad V=\{(\frac{17}{2},\frac{15}{4})\}\)
4. \(\left\{\begin{matrix}-5y=\frac{461}{56}-3x\\6x-y=\frac{481}{56}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{-7}{8})\}\)
5. \(\left\{\begin{matrix}-3x+2y=\frac{45}{14}\\-3x=y+\frac{93}{14}\end{matrix}\right.\qquad V=\{(\frac{-11}{6},\frac{-8}{7})\}\)
6. \(\left\{\begin{matrix}2x+4y=\frac{19}{7}\\x=-y+\frac{17}{28}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},\frac{3}{4})\}\)
7. \(\left\{\begin{matrix}-2x-3y=\frac{-266}{13}\\-x+5y=\frac{374}{13}\end{matrix}\right.\qquad V=\{(\frac{16}{13},6)\}\)
8. \(\left\{\begin{matrix}-5x-5y=\frac{-62}{9}\\3x-y=\frac{46}{45}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{7}{9})\}\)
9. \(\left\{\begin{matrix}-5x-4y=\frac{172}{45}\\x-5y=\frac{14}{9}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{-2}{5})\}\)
10. \(\left\{\begin{matrix}5x-3y=\frac{31}{21}\\-x+2y=\frac{1}{63}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{2}{9})\}\)
11. \(\left\{\begin{matrix}-5x+y=\frac{7}{26}\\2x=-4y+\frac{-30}{13}\end{matrix}\right.\qquad V=\{(\frac{-2}{13},\frac{-1}{2})\}\)
12. \(\left\{\begin{matrix}-2x+6y=\frac{34}{3}\\x+2y=6\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{7}{3})\}\)