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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{-115}{6}-4x\\3x+4y=\frac{2}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x+3y=8\\2x=y+-6\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{572}{45}+4x\\-x+2y=\frac{-172}{45}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+5y=-3\\-5x-y=\frac{-59}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+4y=\frac{618}{133}\\2x-y=\frac{-69}{133}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+6y=\frac{-1}{2}\\4x-y=\frac{29}{12}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+y=\frac{-5}{4}\\-4x=5y+\frac{49}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{281}{105}+6x\\-5x+y=\frac{431}{210}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+2y=\frac{116}{39}\\-4x=-y+\frac{71}{39}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+5y=\frac{-84}{13}\\3x=-y+\frac{99}{26}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{145}{22}+5x\\-5x+y=\frac{745}{88}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{-11}{4}+x\\-2x-4y=\frac{-5}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{-115}{6}-4x\\3x+4y=\frac{2}{3}\end{matrix}\right.\qquad V=\{(-4,\frac{19}{6})\}\)
2. \(\left\{\begin{matrix}-2x+3y=8\\2x=y+-6\end{matrix}\right.\qquad V=\{(\frac{-5}{2},1)\}\)
3. \(\left\{\begin{matrix}-2y=\frac{572}{45}+4x\\-x+2y=\frac{-172}{45}\end{matrix}\right.\qquad V=\{(\frac{-16}{9},\frac{-14}{5})\}\)
4. \(\left\{\begin{matrix}-6x+5y=-3\\-5x-y=\frac{-59}{5}\end{matrix}\right.\qquad V=\{(2,\frac{9}{5})\}\)
5. \(\left\{\begin{matrix}4x+4y=\frac{618}{133}\\2x-y=\frac{-69}{133}\end{matrix}\right.\qquad V=\{(\frac{3}{14},\frac{18}{19})\}\)
6. \(\left\{\begin{matrix}-3x+6y=\frac{-1}{2}\\4x-y=\frac{29}{12}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{1}{4})\}\)
7. \(\left\{\begin{matrix}-4x+y=\frac{-5}{4}\\-4x=5y+\frac{49}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-9}{4})\}\)
8. \(\left\{\begin{matrix}2y=\frac{281}{105}+6x\\-5x+y=\frac{431}{210}\end{matrix}\right.\qquad V=\{(\frac{-5}{14},\frac{4}{15})\}\)
9. \(\left\{\begin{matrix}-4x+2y=\frac{116}{39}\\-4x=-y+\frac{71}{39}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{15}{13})\}\)
10. \(\left\{\begin{matrix}-2x+5y=\frac{-84}{13}\\3x=-y+\frac{99}{26}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-9}{13})\}\)
11. \(\left\{\begin{matrix}4y=\frac{145}{22}+5x\\-5x+y=\frac{745}{88}\end{matrix}\right.\qquad V=\{(\frac{-20}{11},\frac{-5}{8})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{-11}{4}+x\\-2x-4y=\frac{-5}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{3}{4})\}\)