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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-y=\frac{-191}{28}\\-4x=6y+\frac{-253}{14}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{-33}{4}-x\\-3x-4y=0\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-4y=\frac{61}{4}\\-2x-y=\frac{39}{8}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+3y=\frac{73}{4}\\-2x+2y=\frac{21}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{-50}{3}+2x\\-6x+y=7\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6y=\frac{-33}{8}+6x\\-x+6y=\frac{7}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{121}{57}-4x\\-4x+4y=\frac{544}{57}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-3y=\frac{33}{4}\\-2x=3y+\frac{21}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=25+6x\\x-4y=\frac{-8}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-5y=\frac{4}{3}\\-4x=-5y+\frac{41}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-5y=\frac{-800}{171}\\-x+5y=\frac{2}{171}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{-66}{13}-x\\6x-4y=\frac{-32}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-y=\frac{-191}{28}\\-4x=6y+\frac{-253}{14}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{9}{4})\}\)
2. \(\left\{\begin{matrix}5y=\frac{-33}{4}-x\\-3x-4y=0\end{matrix}\right.\qquad V=\{(3,\frac{-9}{4})\}\)
3. \(\left\{\begin{matrix}-6x-4y=\frac{61}{4}\\-2x-y=\frac{39}{8}\end{matrix}\right.\qquad V=\{(\frac{-17}{8},\frac{-5}{8})\}\)
4. \(\left\{\begin{matrix}-x+3y=\frac{73}{4}\\-2x+2y=\frac{21}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{13}{2})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{-50}{3}+2x\\-6x+y=7\end{matrix}\right.\qquad V=\{(\frac{-2}{3},3)\}\)
6. \(\left\{\begin{matrix}6y=\frac{-33}{8}+6x\\-x+6y=\frac{7}{8}\end{matrix}\right.\qquad V=\{(1,\frac{5}{16})\}\)
7. \(\left\{\begin{matrix}y=\frac{121}{57}-4x\\-4x+4y=\frac{544}{57}\end{matrix}\right.\qquad V=\{(\frac{-1}{19},\frac{7}{3})\}\)
8. \(\left\{\begin{matrix}x-3y=\frac{33}{4}\\-2x=3y+\frac{21}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},-3)\}\)
9. \(\left\{\begin{matrix}-3y=25+6x\\x-4y=\frac{-8}{3}\end{matrix}\right.\qquad V=\{(-4,\frac{-1}{3})\}\)
10. \(\left\{\begin{matrix}-x-5y=\frac{4}{3}\\-4x=-5y+\frac{41}{3}\end{matrix}\right.\qquad V=\{(-3,\frac{1}{3})\}\)
11. \(\left\{\begin{matrix}-5x-5y=\frac{-800}{171}\\-x+5y=\frac{2}{171}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{3}{19})\}\)
12. \(\left\{\begin{matrix}4y=\frac{-66}{13}-x\\6x-4y=\frac{-32}{13}\end{matrix}\right.\qquad V=\{(\frac{-14}{13},-1)\}\)