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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{13}{30}-3x\\3x-y=\frac{-127}{30}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-4y=\frac{21}{2}\\6x+y=\frac{-101}{8}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+y=\frac{-752}{323}\\2x=3y+\frac{352}{323}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{57}{10}-6x\\-6x+5y=\frac{-237}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-4y=\frac{-289}{13}\\3x=-y+\frac{281}{26}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=11-6x\\x+5y=\frac{37}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+4y=\frac{19}{5}\\-5x-y=\frac{25}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+y=\frac{1}{2}\\-4x+4y=\frac{-23}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-y=\frac{57}{68}-4x\\6x+5y=\frac{859}{68}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+2y=\frac{76}{21}\\x=-4y+\frac{-29}{84}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x+4y=\frac{-83}{15}\\-5x-y=\frac{212}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+2y=\frac{-394}{119}\\-x=y+\frac{-293}{119}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{13}{30}-3x\\3x-y=\frac{-127}{30}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{-7}{6})\}\)
2. \(\left\{\begin{matrix}-4x-4y=\frac{21}{2}\\6x+y=\frac{-101}{8}\end{matrix}\right.\qquad V=\{(-2,\frac{-5}{8})\}\)
3. \(\left\{\begin{matrix}-6x+y=\frac{-752}{323}\\2x=3y+\frac{352}{323}\end{matrix}\right.\qquad V=\{(\frac{7}{19},\frac{-2}{17})\}\)
4. \(\left\{\begin{matrix}-y=\frac{57}{10}-6x\\-6x+5y=\frac{-237}{10}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{-9}{2})\}\)
5. \(\left\{\begin{matrix}-6x-4y=\frac{-289}{13}\\3x=-y+\frac{281}{26}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{4}{13})\}\)
6. \(\left\{\begin{matrix}5y=11-6x\\x+5y=\frac{37}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},4)\}\)
7. \(\left\{\begin{matrix}-4x+4y=\frac{19}{5}\\-5x-y=\frac{25}{4}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-1}{4})\}\)
8. \(\left\{\begin{matrix}-4x+y=\frac{1}{2}\\-4x+4y=\frac{-23}{2}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},-4)\}\)
9. \(\left\{\begin{matrix}-y=\frac{57}{68}-4x\\6x+5y=\frac{859}{68}\end{matrix}\right.\qquad V=\{(\frac{11}{17},\frac{7}{4})\}\)
10. \(\left\{\begin{matrix}4x+2y=\frac{76}{21}\\x=-4y+\frac{-29}{84}\end{matrix}\right.\qquad V=\{(\frac{13}{12},\frac{-5}{14})\}\)
11. \(\left\{\begin{matrix}3x+4y=\frac{-83}{15}\\-5x-y=\frac{212}{15}\end{matrix}\right.\qquad V=\{(-3,\frac{13}{15})\}\)
12. \(\left\{\begin{matrix}-5x+2y=\frac{-394}{119}\\-x=y+\frac{-293}{119}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{9}{7})\}\)