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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+4y=\frac{-28}{3}\\-x=-y+\frac{-2}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+3y=\frac{-237}{52}\\5x+y=\frac{155}{52}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{26}{19}+4x\\-4x-3y=\frac{178}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{-5}{3}-3x\\-x-5y=\frac{53}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+y=\frac{245}{221}\\6x-3y=\frac{-633}{221}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{65}{6}+x\\-3x-4y=-6\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+2y=\frac{4}{3}\\6x-3y=\frac{-11}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+6y=\frac{280}{153}\\-5x+y=\frac{-1880}{153}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-6y=\frac{277}{18}\\x=-6y+\frac{-167}{18}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+6y=\frac{3105}{209}\\-x=y+\frac{-545}{209}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+5y=\frac{-41}{6}\\-x=y+\frac{-1}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-5y=\frac{23}{3}\\-6x-y=\frac{24}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+4y=\frac{-28}{3}\\-x=-y+\frac{-2}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-4}{3})\}\)
2. \(\left\{\begin{matrix}-3x+3y=\frac{-237}{52}\\5x+y=\frac{155}{52}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-10}{13})\}\)
3. \(\left\{\begin{matrix}y=\frac{26}{19}+4x\\-4x-3y=\frac{178}{19}\end{matrix}\right.\qquad V=\{(\frac{-16}{19},-2)\}\)
4. \(\left\{\begin{matrix}3y=\frac{-5}{3}-3x\\-x-5y=\frac{53}{9}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{-4}{3})\}\)
5. \(\left\{\begin{matrix}-3x+y=\frac{245}{221}\\6x-3y=\frac{-633}{221}\end{matrix}\right.\qquad V=\{(\frac{-2}{13},\frac{11}{17})\}\)
6. \(\left\{\begin{matrix}y=\frac{65}{6}+x\\-3x-4y=-6\end{matrix}\right.\qquad V=\{(\frac{-16}{3},\frac{11}{2})\}\)
7. \(\left\{\begin{matrix}-x+2y=\frac{4}{3}\\6x-3y=\frac{-11}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{7}{12})\}\)
8. \(\left\{\begin{matrix}4x+6y=\frac{280}{153}\\-5x+y=\frac{-1880}{153}\end{matrix}\right.\qquad V=\{(\frac{20}{9},\frac{-20}{17})\}\)
9. \(\left\{\begin{matrix}4x-6y=\frac{277}{18}\\x=-6y+\frac{-167}{18}\end{matrix}\right.\qquad V=\{(\frac{11}{9},\frac{-7}{4})\}\)
10. \(\left\{\begin{matrix}5x+6y=\frac{3105}{209}\\-x=y+\frac{-545}{209}\end{matrix}\right.\qquad V=\{(\frac{15}{19},\frac{20}{11})\}\)
11. \(\left\{\begin{matrix}-2x+5y=\frac{-41}{6}\\-x=y+\frac{-1}{2}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-5}{6})\}\)
12. \(\left\{\begin{matrix}5x-5y=\frac{23}{3}\\-6x-y=\frac{24}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{15},-2)\}\)