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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=-93-4x\\x+3y=-53\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{-109}{13}+2x\\-x+6y=\frac{-395}{26}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x-2y=\frac{109}{21}\\4x-y=\frac{122}{21}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-3y=\frac{-8}{17}\\6x-y=\frac{37}{17}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{490}{51}-6x\\x+5y=\frac{721}{153}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-2y=\frac{-708}{187}\\-5x+y=\frac{1374}{187}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+6y=24\\-4x-y=38\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-3y=\frac{-37}{18}\\6x=5y+\frac{-3}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-4y=\frac{-49}{13}\\-4x+2y=\frac{70}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x+y=\frac{-19}{15}\\-6x+6y=\frac{-18}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-5y=\frac{-459}{80}\\-5x+y=\frac{-125}{16}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2y=\frac{203}{102}-5x\\x+6y=\frac{-161}{34}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=-93-4x\\x+3y=-53\end{matrix}\right.\qquad V=\{(-2,-17)\}\)
2. \(\left\{\begin{matrix}4y=\frac{-109}{13}+2x\\-x+6y=\frac{-395}{26}\end{matrix}\right.\qquad V=\{(\frac{-17}{13},\frac{-11}{4})\}\)
3. \(\left\{\begin{matrix}3x-2y=\frac{109}{21}\\4x-y=\frac{122}{21}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{-2}{3})\}\)
4. \(\left\{\begin{matrix}-3x-3y=\frac{-8}{17}\\6x-y=\frac{37}{17}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-3}{17})\}\)
5. \(\left\{\begin{matrix}6y=\frac{490}{51}-6x\\x+5y=\frac{721}{153}\end{matrix}\right.\qquad V=\{(\frac{14}{17},\frac{7}{9})\}\)
6. \(\left\{\begin{matrix}2x-2y=\frac{-708}{187}\\-5x+y=\frac{1374}{187}\end{matrix}\right.\qquad V=\{(\frac{-15}{11},\frac{9}{17})\}\)
7. \(\left\{\begin{matrix}-4x+6y=24\\-4x-y=38\end{matrix}\right.\qquad V=\{(-9,-2)\}\)
8. \(\left\{\begin{matrix}x-3y=\frac{-37}{18}\\6x=5y+\frac{-3}{2}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{5}{6})\}\)
9. \(\left\{\begin{matrix}x-4y=\frac{-49}{13}\\-4x+2y=\frac{70}{13}\end{matrix}\right.\qquad V=\{(-1,\frac{9}{13})\}\)
10. \(\left\{\begin{matrix}-3x+y=\frac{-19}{15}\\-6x+6y=\frac{-18}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-4}{15})\}\)
11. \(\left\{\begin{matrix}-3x-5y=\frac{-459}{80}\\-5x+y=\frac{-125}{16}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{3}{16})\}\)
12. \(\left\{\begin{matrix}2y=\frac{203}{102}-5x\\x+6y=\frac{-161}{34}\end{matrix}\right.\qquad V=\{(\frac{13}{17},\frac{-11}{12})\}\)