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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x+2y=\frac{-29}{6}\\-x=2y+\frac{-19}{24}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-4y=\frac{369}{38}\\x-3y=\frac{929}{228}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x+y=\frac{121}{20}\\2x=-3y+\frac{99}{10}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+6y=\frac{-226}{7}\\x-6y=\frac{190}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=\frac{17}{2}+2x\\x-y=\frac{-13}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{114}{13}-6x\\6x-y=\frac{66}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-2y=\frac{-1012}{247}\\3x=-y+\frac{-634}{247}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x-2y=\frac{71}{7}\\x=3y+\frac{289}{42}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{928}{45}+6x\\4x-y=\frac{-502}{45}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=\frac{-1121}{119}-3x\\-5x-y=\frac{823}{119}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=54+4x\\-4x+y=49\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+5y=\frac{-821}{42}\\-x=-4y+\frac{-146}{21}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x+2y=\frac{-29}{6}\\-x=2y+\frac{-19}{24}\end{matrix}\right.\qquad V=\{(\frac{-15}{8},\frac{4}{3})\}\)
2. \(\left\{\begin{matrix}6x-4y=\frac{369}{38}\\x-3y=\frac{929}{228}\end{matrix}\right.\qquad V=\{(\frac{11}{12},\frac{-20}{19})\}\)
3. \(\left\{\begin{matrix}-3x+y=\frac{121}{20}\\2x=-3y+\frac{99}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{19}{5})\}\)
4. \(\left\{\begin{matrix}5x+6y=\frac{-226}{7}\\x-6y=\frac{190}{7}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{-14}{3})\}\)
5. \(\left\{\begin{matrix}4y=\frac{17}{2}+2x\\x-y=\frac{-13}{4}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},1)\}\)
6. \(\left\{\begin{matrix}3y=\frac{114}{13}-6x\\6x-y=\frac{66}{13}\end{matrix}\right.\qquad V=\{(1,\frac{12}{13})\}\)
7. \(\left\{\begin{matrix}2x-2y=\frac{-1012}{247}\\3x=-y+\frac{-634}{247}\end{matrix}\right.\qquad V=\{(\frac{-15}{13},\frac{17}{19})\}\)
8. \(\left\{\begin{matrix}-6x-2y=\frac{71}{7}\\x=3y+\frac{289}{42}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-18}{7})\}\)
9. \(\left\{\begin{matrix}4y=\frac{928}{45}+6x\\4x-y=\frac{-502}{45}\end{matrix}\right.\qquad V=\{(\frac{-12}{5},\frac{14}{9})\}\)
10. \(\left\{\begin{matrix}-5y=\frac{-1121}{119}-3x\\-5x-y=\frac{823}{119}\end{matrix}\right.\qquad V=\{(\frac{-11}{7},\frac{16}{17})\}\)
11. \(\left\{\begin{matrix}6y=54+4x\\-4x+y=49\end{matrix}\right.\qquad V=\{(-12,1)\}\)
12. \(\left\{\begin{matrix}-6x+5y=\frac{-821}{42}\\-x=-4y+\frac{-146}{21}\end{matrix}\right.\qquad V=\{(\frac{16}{7},\frac{-7}{6})\}\)