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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+3y=\frac{-118}{39}\\x+y=\frac{-61}{39}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x+y=\frac{-22}{3}\\-3x+5y=\frac{-26}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{-43}{6}-5x\\4x-y=-7\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{45}{13}+5x\\-x-4y=\frac{-56}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+5y=\frac{108}{5}\\x-3y=\frac{-283}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+6y=\frac{17}{20}\\-x+6y=\frac{-59}{20}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{81}{7}-3x\\3x+4y=\frac{72}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{-772}{51}-5x\\-x+y=\frac{131}{51}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-y=\frac{-218}{17}\\2x=2y+\frac{-96}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+3y=\frac{7}{10}\\6x=-y+\frac{-203}{10}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x+y=\frac{-146}{55}\\3x=-4y+\frac{841}{55}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-4y=\frac{41}{35}\\x-4y=\frac{19}{70}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+3y=\frac{-118}{39}\\x+y=\frac{-61}{39}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-16}{13})\}\)
2. \(\left\{\begin{matrix}-2x+y=\frac{-22}{3}\\-3x+5y=\frac{-26}{3}\end{matrix}\right.\qquad V=\{(4,\frac{2}{3})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{-43}{6}-5x\\4x-y=-7\end{matrix}\right.\qquad V=\{(\frac{-11}{6},\frac{-1}{3})\}\)
4. \(\left\{\begin{matrix}5y=\frac{45}{13}+5x\\-x-4y=\frac{-56}{13}\end{matrix}\right.\qquad V=\{(\frac{4}{13},1)\}\)
5. \(\left\{\begin{matrix}-4x+5y=\frac{108}{5}\\x-3y=\frac{-283}{20}\end{matrix}\right.\qquad V=\{(\frac{17}{20},5)\}\)
6. \(\left\{\begin{matrix}3x+6y=\frac{17}{20}\\-x+6y=\frac{-59}{20}\end{matrix}\right.\qquad V=\{(\frac{19}{20},\frac{-1}{3})\}\)
7. \(\left\{\begin{matrix}y=\frac{81}{7}-3x\\3x+4y=\frac{72}{7}\end{matrix}\right.\qquad V=\{(4,\frac{-3}{7})\}\)
8. \(\left\{\begin{matrix}-2y=\frac{-772}{51}-5x\\-x+y=\frac{131}{51}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-13}{17})\}\)
9. \(\left\{\begin{matrix}6x-y=\frac{-218}{17}\\2x=2y+\frac{-96}{17}\end{matrix}\right.\qquad V=\{(-2,\frac{14}{17})\}\)
10. \(\left\{\begin{matrix}-4x+3y=\frac{7}{10}\\6x=-y+\frac{-203}{10}\end{matrix}\right.\qquad V=\{(\frac{-14}{5},\frac{-7}{2})\}\)
11. \(\left\{\begin{matrix}-4x+y=\frac{-146}{55}\\3x=-4y+\frac{841}{55}\end{matrix}\right.\qquad V=\{(\frac{15}{11},\frac{14}{5})\}\)
12. \(\left\{\begin{matrix}-2x-4y=\frac{41}{35}\\x-4y=\frac{19}{70}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{-1}{7})\}\)