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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-6y=\frac{-214}{17}\\-3x-y=\frac{-227}{51}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x+4y=\frac{33}{20}\\-x=-y+\frac{19}{40}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{-79}{144}+x\\4x-2y=\frac{-121}{36}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{180}{19}+4x\\-6x-4y=\frac{-984}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=\frac{146}{9}-x\\4x+6y=\frac{134}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-2y=\frac{115}{9}\\x=-6y+2\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{108}{7}-6x\\-3x+y=\frac{-47}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+5y=\frac{445}{68}\\x=6y+\frac{-449}{68}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{8}{7}+2x\\-4x-y=\frac{22}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=\frac{-11}{2}-x\\-6x-3y=-33\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{-10}{21}-x\\-2x-6y=\frac{65}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{-113}{12}-6x\\-x+y=\frac{49}{72}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-6y=\frac{-214}{17}\\-3x-y=\frac{-227}{51}\end{matrix}\right.\qquad V=\{(\frac{12}{17},\frac{7}{3})\}\)
2. \(\left\{\begin{matrix}-6x+4y=\frac{33}{20}\\-x=-y+\frac{19}{40}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{3}{5})\}\)
3. \(\left\{\begin{matrix}-2y=\frac{-79}{144}+x\\4x-2y=\frac{-121}{36}\end{matrix}\right.\qquad V=\{(\frac{-9}{16},\frac{5}{9})\}\)
4. \(\left\{\begin{matrix}y=\frac{180}{19}+4x\\-6x-4y=\frac{-984}{19}\end{matrix}\right.\qquad V=\{(\frac{12}{19},12)\}\)
5. \(\left\{\begin{matrix}5y=\frac{146}{9}-x\\4x+6y=\frac{134}{3}\end{matrix}\right.\qquad V=\{(9,\frac{13}{9})\}\)
6. \(\left\{\begin{matrix}-4x-2y=\frac{115}{9}\\x=-6y+2\end{matrix}\right.\qquad V=\{(\frac{-11}{3},\frac{17}{18})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{108}{7}-6x\\-3x+y=\frac{-47}{7}\end{matrix}\right.\qquad V=\{(\frac{11}{7},-2)\}\)
8. \(\left\{\begin{matrix}-5x+5y=\frac{445}{68}\\x=6y+\frac{-449}{68}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{18}{17})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{8}{7}+2x\\-4x-y=\frac{22}{7}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{2}{7})\}\)
10. \(\left\{\begin{matrix}-5y=\frac{-11}{2}-x\\-6x-3y=-33\end{matrix}\right.\qquad V=\{(\frac{9}{2},2)\}\)
11. \(\left\{\begin{matrix}-2y=\frac{-10}{21}-x\\-2x-6y=\frac{65}{7}\end{matrix}\right.\qquad V=\{(\frac{-15}{7},\frac{-5}{6})\}\)
12. \(\left\{\begin{matrix}6y=\frac{-113}{12}-6x\\-x+y=\frac{49}{72}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{-4}{9})\}\)