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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-2y=\frac{-92}{3}\\-x+y=\frac{-14}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-5y=\frac{-199}{10}\\-3x+y=\frac{29}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{-455}{272}+x\\-2x+3y=\frac{609}{136}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-y=\frac{11}{102}\\-6x-3y=\frac{-37}{34}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{-721}{6}+6x\\4x+3y=\frac{161}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x-3y=\frac{63}{10}\\x+6y=\frac{12}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{-78}{7}+3x\\2x-y=\frac{99}{14}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+5y=-3\\-x-y=\frac{-7}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+6y=\frac{194}{21}\\-5x+y=\frac{191}{21}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{-201}{35}+x\\3x+4y=\frac{303}{35}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{-36}{11}+4x\\-x+y=\frac{-9}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=11+4x\\x+4y=\frac{11}{6}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-2y=\frac{-92}{3}\\-x+y=\frac{-14}{3}\end{matrix}\right.\qquad V=\{(10,\frac{16}{3})\}\)
2. \(\left\{\begin{matrix}-3x-5y=\frac{-199}{10}\\-3x+y=\frac{29}{10}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{19}{5})\}\)
3. \(\left\{\begin{matrix}-2y=\frac{-455}{272}+x\\-2x+3y=\frac{609}{136}\end{matrix}\right.\qquad V=\{(\frac{-9}{16},\frac{19}{17})\}\)
4. \(\left\{\begin{matrix}-4x-y=\frac{11}{102}\\-6x-3y=\frac{-37}{34}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},\frac{5}{6})\}\)
5. \(\left\{\begin{matrix}-y=\frac{-721}{6}+6x\\4x+3y=\frac{161}{2}\end{matrix}\right.\qquad V=\{(20,\frac{1}{6})\}\)
6. \(\left\{\begin{matrix}-3x-3y=\frac{63}{10}\\x+6y=\frac{12}{5}\end{matrix}\right.\qquad V=\{(-3,\frac{9}{10})\}\)
7. \(\left\{\begin{matrix}2y=\frac{-78}{7}+3x\\2x-y=\frac{99}{14}\end{matrix}\right.\qquad V=\{(3,\frac{-15}{14})\}\)
8. \(\left\{\begin{matrix}-5x+5y=-3\\-x-y=\frac{-7}{5}\end{matrix}\right.\qquad V=\{(1,\frac{2}{5})\}\)
9. \(\left\{\begin{matrix}4x+6y=\frac{194}{21}\\-5x+y=\frac{191}{21}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{17}{7})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{-201}{35}+x\\3x+4y=\frac{303}{35}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{12}{7})\}\)
11. \(\left\{\begin{matrix}4y=\frac{-36}{11}+4x\\-x+y=\frac{-9}{11}\end{matrix}\right.\qquad V=\{(\frac{14}{11},\frac{5}{11})\}\)
12. \(\left\{\begin{matrix}6y=11+4x\\x+4y=\frac{11}{6}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{5}{6})\}\)