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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{-920}{153}+4x\\x-2y=\frac{434}{153}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{52}{3}+4x\\3x-y=-6\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{16}{15}+4x\\-2x-4y=\frac{-41}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-3y=31\\-x-2y=\frac{13}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+6y=\frac{-49}{20}\\4x-y=\frac{13}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{472}{133}+2x\\-x-4y=\frac{-1189}{133}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{-808}{119}+x\\-6x+6y=\frac{-768}{119}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-y=\frac{-4}{3}\\5x+3y=-12\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-6y=\frac{82}{3}\\-5x=y+\frac{22}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+6y=\frac{-52}{57}\\-3x+y=\frac{-24}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{-278}{15}+6x\\-x-5y=\frac{-479}{45}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+5y=\frac{103}{15}\\2x+y=\frac{-37}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{-920}{153}+4x\\x-2y=\frac{434}{153}\end{matrix}\right.\qquad V=\{(\frac{18}{17},\frac{-8}{9})\}\)
2. \(\left\{\begin{matrix}6y=\frac{52}{3}+4x\\3x-y=-6\end{matrix}\right.\qquad V=\{(\frac{-4}{3},2)\}\)
3. \(\left\{\begin{matrix}-y=\frac{16}{15}+4x\\-2x-4y=\frac{-41}{15}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{14}{15})\}\)
4. \(\left\{\begin{matrix}-4x-3y=31\\-x-2y=\frac{13}{2}\end{matrix}\right.\qquad V=\{(\frac{-17}{2},1)\}\)
5. \(\left\{\begin{matrix}5x+6y=\frac{-49}{20}\\4x-y=\frac{13}{20}\end{matrix}\right.\qquad V=\{(\frac{1}{20},\frac{-9}{20})\}\)
6. \(\left\{\begin{matrix}2y=\frac{472}{133}+2x\\-x-4y=\frac{-1189}{133}\end{matrix}\right.\qquad V=\{(\frac{7}{19},\frac{15}{7})\}\)
7. \(\left\{\begin{matrix}5y=\frac{-808}{119}+x\\-6x+6y=\frac{-768}{119}\end{matrix}\right.\qquad V=\{(\frac{-6}{17},\frac{-10}{7})\}\)
8. \(\left\{\begin{matrix}x-y=\frac{-4}{3}\\5x+3y=-12\end{matrix}\right.\qquad V=\{(-2,\frac{-2}{3})\}\)
9. \(\left\{\begin{matrix}-5x-6y=\frac{82}{3}\\-5x=y+\frac{22}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},-4)\}\)
10. \(\left\{\begin{matrix}2x+6y=\frac{-52}{57}\\-3x+y=\frac{-24}{19}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-5}{19})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{-278}{15}+6x\\-x-5y=\frac{-479}{45}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{17}{9})\}\)
12. \(\left\{\begin{matrix}-6x+5y=\frac{103}{15}\\2x+y=\frac{-37}{15}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-1}{15})\}\)