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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+3y=\frac{-99}{2}\\x-y=\frac{69}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-5y=\frac{271}{4}\\-x-y=\frac{219}{16}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x+4y=\frac{-206}{33}\\2x+y=\frac{-149}{99}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+3y=\frac{337}{42}\\x=-6y+\frac{1}{21}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=-9-3x\\-x+y=\frac{31}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-6y=\frac{282}{55}\\-x=-y+\frac{184}{165}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+3y=\frac{62}{9}\\x=y+\frac{-17}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{-2}{3}-4x\\x+3y=\frac{-11}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-6y=\frac{79}{4}\\-4x=-5y+\frac{-25}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+2y=\frac{-861}{304}\\-5x+y=\frac{187}{304}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{22}{3}-5x\\-5x+3y=-6\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-4y=\frac{494}{153}\\-x=-5y+\frac{-371}{153}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+3y=\frac{-99}{2}\\x-y=\frac{69}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},-18)\}\)
2. \(\left\{\begin{matrix}-4x-5y=\frac{271}{4}\\-x-y=\frac{219}{16}\end{matrix}\right.\qquad V=\{(\frac{-11}{16},-13)\}\)
3. \(\left\{\begin{matrix}6x+4y=\frac{-206}{33}\\2x+y=\frac{-149}{99}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{-19}{11})\}\)
4. \(\left\{\begin{matrix}-3x+3y=\frac{337}{42}\\x=-6y+\frac{1}{21}\end{matrix}\right.\qquad V=\{(\frac{-16}{7},\frac{7}{18})\}\)
5. \(\left\{\begin{matrix}-2y=-9-3x\\-x+y=\frac{31}{9}\end{matrix}\right.\qquad V=\{(\frac{-19}{9},\frac{4}{3})\}\)
6. \(\left\{\begin{matrix}-4x-6y=\frac{282}{55}\\-x=-y+\frac{184}{165}\end{matrix}\right.\qquad V=\{(\frac{-13}{11},\frac{-1}{15})\}\)
7. \(\left\{\begin{matrix}-4x+3y=\frac{62}{9}\\x=y+\frac{-17}{9}\end{matrix}\right.\qquad V=\{(\frac{-11}{9},\frac{2}{3})\}\)
8. \(\left\{\begin{matrix}-2y=\frac{-2}{3}-4x\\x+3y=\frac{-11}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},-1)\}\)
9. \(\left\{\begin{matrix}x-6y=\frac{79}{4}\\-4x=-5y+\frac{-25}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{-7}{2})\}\)
10. \(\left\{\begin{matrix}3x+2y=\frac{-861}{304}\\-5x+y=\frac{187}{304}\end{matrix}\right.\qquad V=\{(\frac{-5}{16},\frac{-18}{19})\}\)
11. \(\left\{\begin{matrix}-y=\frac{22}{3}-5x\\-5x+3y=-6\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{2}{3})\}\)
12. \(\left\{\begin{matrix}-5x-4y=\frac{494}{153}\\-x=-5y+\frac{-371}{153}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{-9}{17})\}\)