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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x-y=\frac{27}{14}\\-3x-6y=\frac{51}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{29}{3}-4x\\-6x-5y=\frac{-61}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-2y=\frac{-103}{9}\\-2x=2y+\frac{-64}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+4y=-4\\x=-y+-1\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-y=\frac{58}{51}\\-4x+5y=\frac{-122}{51}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=-6-5x\\-x+y=\frac{17}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-2y=\frac{-17}{3}\\-x=-6y+\frac{-14}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-2y=\frac{-11}{14}\\-3x-y=\frac{-19}{28}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+3y=\frac{11}{10}\\-4x=6y+\frac{-41}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+2y=\frac{9}{5}\\x+y=\frac{-7}{10}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{-339}{133}-6x\\-x-6y=\frac{370}{133}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-5y=\frac{-21}{8}\\6x=4y+\frac{-3}{20}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x-y=\frac{27}{14}\\-3x-6y=\frac{51}{7}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{-1}{2})\}\)
2. \(\left\{\begin{matrix}y=\frac{29}{3}-4x\\-6x-5y=\frac{-61}{3}\end{matrix}\right.\qquad V=\{(2,\frac{5}{3})\}\)
3. \(\left\{\begin{matrix}x-2y=\frac{-103}{9}\\-2x=2y+\frac{-64}{9}\end{matrix}\right.\qquad V=\{(\frac{-13}{9},5)\}\)
4. \(\left\{\begin{matrix}4x+4y=-4\\x=-y+-1\end{matrix}\right.\qquad V=\{(\frac{1}{13},\frac{-14}{13})\}\)
5. \(\left\{\begin{matrix}-2x-y=\frac{58}{51}\\-4x+5y=\frac{-122}{51}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},\frac{-2}{3})\}\)
6. \(\left\{\begin{matrix}-6y=-6-5x\\-x+y=\frac{17}{14}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{-1}{14})\}\)
7. \(\left\{\begin{matrix}-4x-2y=\frac{-17}{3}\\-x=-6y+\frac{-14}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-1}{2})\}\)
8. \(\left\{\begin{matrix}-2x-2y=\frac{-11}{14}\\-3x-y=\frac{-19}{28}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{1}{4})\}\)
9. \(\left\{\begin{matrix}-x+3y=\frac{11}{10}\\-4x=6y+\frac{-41}{5}\end{matrix}\right.\qquad V=\{(1,\frac{7}{10})\}\)
10. \(\left\{\begin{matrix}6x+2y=\frac{9}{5}\\x+y=\frac{-7}{10}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-3}{2})\}\)
11. \(\left\{\begin{matrix}3y=\frac{-339}{133}-6x\\-x-6y=\frac{370}{133}\end{matrix}\right.\qquad V=\{(\frac{-4}{19},\frac{-3}{7})\}\)
12. \(\left\{\begin{matrix}x-5y=\frac{-21}{8}\\6x=4y+\frac{-3}{20}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{3}{5})\}\)