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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{-54}{133}-3x\\-x-6y=\frac{214}{133}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+3y=\frac{9}{14}\\-x+6y=\frac{-75}{56}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-y=\frac{17}{77}\\6x-3y=\frac{51}{77}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-5y=\frac{7}{2}\\4x=6y+\frac{14}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+3y=\frac{-21}{2}\\-x-5y=\frac{19}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-2y=\frac{-1}{2}\\2x-6y=\frac{-21}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-y=\frac{-25}{8}\\-4x=2y+\frac{-3}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+3y=\frac{100}{21}\\6x=y+\frac{20}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{145}{14}+2x\\-x-5y=\frac{205}{28}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{41}{4}+2x\\-x-6y=\frac{155}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+2y=\frac{48}{17}\\-x-5y=\frac{-166}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{-26}{7}-4x\\-3x+y=\frac{19}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{-54}{133}-3x\\-x-6y=\frac{214}{133}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{-6}{19})\}\)
2. \(\left\{\begin{matrix}-4x+3y=\frac{9}{14}\\-x+6y=\frac{-75}{56}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{-2}{7})\}\)
3. \(\left\{\begin{matrix}2x-y=\frac{17}{77}\\6x-3y=\frac{51}{77}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{7}{11})\}\)
4. \(\left\{\begin{matrix}x-5y=\frac{7}{2}\\4x=6y+\frac{14}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-4}{5})\}\)
5. \(\left\{\begin{matrix}-6x+3y=\frac{-21}{2}\\-x-5y=\frac{19}{8}\end{matrix}\right.\qquad V=\{(\frac{11}{8},\frac{-3}{4})\}\)
6. \(\left\{\begin{matrix}-x-2y=\frac{-1}{2}\\2x-6y=\frac{-21}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{5}{8})\}\)
7. \(\left\{\begin{matrix}-3x-y=\frac{-25}{8}\\-4x=2y+\frac{-3}{2}\end{matrix}\right.\qquad V=\{(\frac{19}{8},-4)\}\)
8. \(\left\{\begin{matrix}2x+3y=\frac{100}{21}\\6x=y+\frac{20}{7}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{8}{7})\}\)
9. \(\left\{\begin{matrix}-4y=\frac{145}{14}+2x\\-x-5y=\frac{205}{28}\end{matrix}\right.\qquad V=\{(\frac{-15}{4},\frac{-5}{7})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{41}{4}+2x\\-x-6y=\frac{155}{8}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{-19}{6})\}\)
11. \(\left\{\begin{matrix}5x+2y=\frac{48}{17}\\-x-5y=\frac{-166}{17}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},2)\}\)
12. \(\left\{\begin{matrix}-2y=\frac{-26}{7}-4x\\-3x+y=\frac{19}{7}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{1}{7})\}\)