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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+6y=\frac{829}{7}\\-x=-3y+\frac{829}{14}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x+2y=\frac{-1}{10}\\5x=-y+\frac{-91}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{97}{36}-x\\-2x+5y=\frac{-55}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-5y=-14\\x=-2y+\frac{56}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x+6y=\frac{21}{8}\\-4x+3y=\frac{-15}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-2y=\frac{-55}{7}\\x-3y=\frac{-5}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-4y=\frac{-59}{2}\\5x=-y+\frac{7}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+4y=\frac{248}{85}\\-3x-y=\frac{-287}{85}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+3y=\frac{-2}{3}\\-5x=-4y+\frac{59}{12}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=\frac{-91}{18}-x\\-5x-3y=\frac{-139}{18}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=29-3x\\-3x-y=-35\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+6y=\frac{-93}{8}\\x+4y=\frac{-129}{16}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+6y=\frac{829}{7}\\-x=-3y+\frac{829}{14}\end{matrix}\right.\qquad V=\{(\frac{11}{14},20)\}\)
2. \(\left\{\begin{matrix}-2x+2y=\frac{-1}{10}\\5x=-y+\frac{-91}{20}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-4}{5})\}\)
3. \(\left\{\begin{matrix}-2y=\frac{97}{36}-x\\-2x+5y=\frac{-55}{9}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-13}{18})\}\)
4. \(\left\{\begin{matrix}-6x-5y=-14\\x=-2y+\frac{56}{15}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{6}{5})\}\)
5. \(\left\{\begin{matrix}x+6y=\frac{21}{8}\\-4x+3y=\frac{-15}{4}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{1}{4})\}\)
6. \(\left\{\begin{matrix}-6x-2y=\frac{-55}{7}\\x-3y=\frac{-5}{14}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{1}{2})\}\)
7. \(\left\{\begin{matrix}-2x-4y=\frac{-59}{2}\\5x=-y+\frac{7}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},8)\}\)
8. \(\left\{\begin{matrix}2x+4y=\frac{248}{85}\\-3x-y=\frac{-287}{85}\end{matrix}\right.\qquad V=\{(\frac{18}{17},\frac{1}{5})\}\)
9. \(\left\{\begin{matrix}-x+3y=\frac{-2}{3}\\-5x=-4y+\frac{59}{12}\end{matrix}\right.\qquad V=\{(\frac{-19}{12},\frac{-3}{4})\}\)
10. \(\left\{\begin{matrix}-6y=\frac{-91}{18}-x\\-5x-3y=\frac{-139}{18}\end{matrix}\right.\qquad V=\{(\frac{17}{18},1)\}\)
11. \(\left\{\begin{matrix}-2y=29-3x\\-3x-y=-35\end{matrix}\right.\qquad V=\{(11,2)\}\)
12. \(\left\{\begin{matrix}-6x+6y=\frac{-93}{8}\\x+4y=\frac{-129}{16}\end{matrix}\right.\qquad V=\{(\frac{-1}{16},-2)\}\)