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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-6y=\frac{26}{11}\\-x=4y+\frac{13}{33}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+4y=\frac{-352}{17}\\-x=y+\frac{332}{51}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x+2y=\frac{25}{12}\\-x-4y=\frac{-8}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+6y=\frac{8}{5}\\x-3y=\frac{-3}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{-257}{60}+6x\\x+y=\frac{-47}{180}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{-37}{9}+x\\-6x-3y=\frac{-29}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{416}{77}-x\\5x-6y=\frac{806}{77}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{89}{55}-x\\-4x+4y=\frac{124}{55}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{61}{5}+5x\\-x+3y=\frac{36}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+6y=-17\\-x=4y+11\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+y=\frac{22}{7}\\-3x=-4y+\frac{25}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-5y=\frac{-163}{26}\\x=-3y+\frac{463}{130}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-6y=\frac{26}{11}\\-x=4y+\frac{13}{33}\end{matrix}\right.\qquad V=\{(\frac{3}{11},\frac{-1}{6})\}\)
2. \(\left\{\begin{matrix}3x+4y=\frac{-352}{17}\\-x=y+\frac{332}{51}\end{matrix}\right.\qquad V=\{(\frac{-16}{3},\frac{-20}{17})\}\)
3. \(\left\{\begin{matrix}5x+2y=\frac{25}{12}\\-x-4y=\frac{-8}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{5}{8})\}\)
4. \(\left\{\begin{matrix}-3x+6y=\frac{8}{5}\\x-3y=\frac{-3}{5}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{1}{15})\}\)
5. \(\left\{\begin{matrix}3y=\frac{-257}{60}+6x\\x+y=\frac{-47}{180}\end{matrix}\right.\qquad V=\{(\frac{7}{18},\frac{-13}{20})\}\)
6. \(\left\{\begin{matrix}4y=\frac{-37}{9}+x\\-6x-3y=\frac{-29}{3}\end{matrix}\right.\qquad V=\{(\frac{17}{9},\frac{-5}{9})\}\)
7. \(\left\{\begin{matrix}4y=\frac{416}{77}-x\\5x-6y=\frac{806}{77}\end{matrix}\right.\qquad V=\{(\frac{20}{7},\frac{7}{11})\}\)
8. \(\left\{\begin{matrix}5y=\frac{89}{55}-x\\-4x+4y=\frac{124}{55}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{4}{11})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{61}{5}+5x\\-x+3y=\frac{36}{5}\end{matrix}\right.\qquad V=\{(-3,\frac{7}{5})\}\)
10. \(\left\{\begin{matrix}2x+6y=-17\\-x=4y+11\end{matrix}\right.\qquad V=\{(-1,\frac{-5}{2})\}\)
11. \(\left\{\begin{matrix}x+y=\frac{22}{7}\\-3x=-4y+\frac{25}{7}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{13}{7})\}\)
12. \(\left\{\begin{matrix}-5x-5y=\frac{-163}{26}\\x=-3y+\frac{463}{130}\end{matrix}\right.\qquad V=\{(\frac{1}{10},\frac{15}{13})\}\)