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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-2y=\frac{-241}{60}\\-x=2y+\frac{-61}{60}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{485}{18}-x\\2x-6y=\frac{-334}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{7}{6}-2x\\-x-3y=\frac{-17}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-2y=7\\-3x+4y=-9\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{154}{19}+5x\\x+y=\frac{-46}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{549}{52}+6x\\6x-y=\frac{-1845}{208}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{-371}{34}-6x\\2x-y=\frac{275}{102}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{65}{9}+6x\\4x-y=\frac{-25}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{-238}{19}-4x\\x-2y=\frac{-98}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-3y=\frac{-272}{19}\\x=y+\frac{-275}{57}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x-5y=\frac{-127}{44}\\-2x-6y=\frac{-105}{22}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{93}{56}-3x\\2x+3y=\frac{-15}{56}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-2y=\frac{-241}{60}\\-x=2y+\frac{-61}{60}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{2}{15})\}\)
2. \(\left\{\begin{matrix}4y=\frac{485}{18}-x\\2x-6y=\frac{-334}{9}\end{matrix}\right.\qquad V=\{(\frac{17}{18},\frac{13}{2})\}\)
3. \(\left\{\begin{matrix}-5y=\frac{7}{6}-2x\\-x-3y=\frac{-17}{15}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{1}{10})\}\)
4. \(\left\{\begin{matrix}x-2y=7\\-3x+4y=-9\end{matrix}\right.\qquad V=\{(-5,-6)\}\)
5. \(\left\{\begin{matrix}-3y=\frac{154}{19}+5x\\x+y=\frac{-46}{19}\end{matrix}\right.\qquad V=\{(\frac{-8}{19},-2)\}\)
6. \(\left\{\begin{matrix}4y=\frac{549}{52}+6x\\6x-y=\frac{-1845}{208}\end{matrix}\right.\qquad V=\{(\frac{-18}{13},\frac{9}{16})\}\)
7. \(\left\{\begin{matrix}3y=\frac{-371}{34}-6x\\2x-y=\frac{275}{102}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},\frac{-19}{6})\}\)
8. \(\left\{\begin{matrix}-2y=\frac{65}{9}+6x\\4x-y=\frac{-25}{6}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{-5}{18})\}\)
9. \(\left\{\begin{matrix}6y=\frac{-238}{19}-4x\\x-2y=\frac{-98}{19}\end{matrix}\right.\qquad V=\{(-4,\frac{11}{19})\}\)
10. \(\left\{\begin{matrix}2x-3y=\frac{-272}{19}\\x=y+\frac{-275}{57}\end{matrix}\right.\qquad V=\{(\frac{-3}{19},\frac{14}{3})\}\)
11. \(\left\{\begin{matrix}-x-5y=\frac{-127}{44}\\-2x-6y=\frac{-105}{22}\end{matrix}\right.\qquad V=\{(\frac{18}{11},\frac{1}{4})\}\)
12. \(\left\{\begin{matrix}-y=\frac{93}{56}-3x\\2x+3y=\frac{-15}{56}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{-3}{8})\}\)