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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{-602}{95}+6x\\-4x+2y=\frac{-468}{95}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x-y=\frac{-1}{3}\\6x-2y=\frac{-26}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x+3y=\frac{-147}{4}\\-5x=-y+\frac{71}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=-29+4x\\x-2y=\frac{-55}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+2y=\frac{-15}{2}\\x+y=\frac{-25}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+4y=\frac{76}{5}\\5x=-y+\frac{257}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x-6y=\frac{-47}{5}\\5x+y=\frac{-64}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+6y=\frac{-77}{10}\\6x+3y=\frac{-66}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-2y=\frac{-13}{10}\\-x+4y=\frac{101}{60}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+6y=\frac{-231}{20}\\-2x=-y+\frac{51}{40}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=-46+3x\\-x-y=-15\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+y=\frac{185}{144}\\3x-3y=\frac{-167}{48}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{-602}{95}+6x\\-4x+2y=\frac{-468}{95}\end{matrix}\right.\qquad V=\{(\frac{11}{10},\frac{-5}{19})\}\)
2. \(\left\{\begin{matrix}x-y=\frac{-1}{3}\\6x-2y=\frac{-26}{3}\end{matrix}\right.\qquad V=\{(-2,\frac{-5}{3})\}\)
3. \(\left\{\begin{matrix}5x+3y=\frac{-147}{4}\\-5x=-y+\frac{71}{4}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{-19}{4})\}\)
4. \(\left\{\begin{matrix}-4y=-29+4x\\x-2y=\frac{-55}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{4},7)\}\)
5. \(\left\{\begin{matrix}6x+2y=\frac{-15}{2}\\x+y=\frac{-25}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-5}{4})\}\)
6. \(\left\{\begin{matrix}4x+4y=\frac{76}{5}\\5x=-y+\frac{257}{15}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{7}{15})\}\)
7. \(\left\{\begin{matrix}5x-6y=\frac{-47}{5}\\5x+y=\frac{-64}{15}\end{matrix}\right.\qquad V=\{(-1,\frac{11}{15})\}\)
8. \(\left\{\begin{matrix}x+6y=\frac{-77}{10}\\6x+3y=\frac{-66}{5}\end{matrix}\right.\qquad V=\{(\frac{-17}{10},-1)\}\)
9. \(\left\{\begin{matrix}6x-2y=\frac{-13}{10}\\-x+4y=\frac{101}{60}\end{matrix}\right.\qquad V=\{(\frac{-1}{12},\frac{2}{5})\}\)
10. \(\left\{\begin{matrix}4x+6y=\frac{-231}{20}\\-2x=-y+\frac{51}{40}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-9}{8})\}\)
11. \(\left\{\begin{matrix}-2y=-46+3x\\-x-y=-15\end{matrix}\right.\qquad V=\{(16,-1)\}\)
12. \(\left\{\begin{matrix}x+y=\frac{185}{144}\\3x-3y=\frac{-167}{48}\end{matrix}\right.\qquad V=\{(\frac{1}{16},\frac{11}{9})\}\)