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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{131}{26}+4x\\-x+y=\frac{11}{104}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-5y=\frac{119}{4}\\x+2y=\frac{-49}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{-17}{4}-3x\\-x+y=\frac{-31}{12}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+y=\frac{-348}{65}\\-4x=-5y+\frac{-726}{65}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+4y=\frac{426}{91}\\4x+y=\frac{173}{91}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{-698}{133}-6x\\-2x-y=\frac{235}{133}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+2y=\frac{31}{24}\\-2x-y=\frac{-7}{12}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{29}{2}-5x\\-3x+y=\frac{-7}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+5y=\frac{164}{3}\\x-3y=-23\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-6y=\frac{46}{9}\\-6x=-2y+\frac{-41}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-2y=\frac{335}{19}\\-x+3y=\frac{-1109}{38}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-6y=-15\\x-y=\frac{-61}{20}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{131}{26}+4x\\-x+y=\frac{11}{104}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{-10}{13})\}\)
2. \(\left\{\begin{matrix}-3x-5y=\frac{119}{4}\\x+2y=\frac{-49}{4}\end{matrix}\right.\qquad V=\{(\frac{7}{4},-7)\}\)
3. \(\left\{\begin{matrix}3y=\frac{-17}{4}-3x\\-x+y=\frac{-31}{12}\end{matrix}\right.\qquad V=\{(\frac{7}{12},-2)\}\)
4. \(\left\{\begin{matrix}-2x+y=\frac{-348}{65}\\-4x=-5y+\frac{-726}{65}\end{matrix}\right.\qquad V=\{(\frac{13}{5},\frac{-2}{13})\}\)
5. \(\left\{\begin{matrix}-3x+4y=\frac{426}{91}\\4x+y=\frac{173}{91}\end{matrix}\right.\qquad V=\{(\frac{2}{13},\frac{9}{7})\}\)
6. \(\left\{\begin{matrix}2y=\frac{-698}{133}-6x\\-2x-y=\frac{235}{133}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{-1}{19})\}\)
7. \(\left\{\begin{matrix}5x+2y=\frac{31}{24}\\-2x-y=\frac{-7}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{1}{3})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{29}{2}-5x\\-3x+y=\frac{-7}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},-2)\}\)
9. \(\left\{\begin{matrix}-4x+5y=\frac{164}{3}\\x-3y=-23\end{matrix}\right.\qquad V=\{(-7,\frac{16}{3})\}\)
10. \(\left\{\begin{matrix}-x-6y=\frac{46}{9}\\-6x=-2y+\frac{-41}{3}\end{matrix}\right.\qquad V=\{(\frac{17}{9},\frac{-7}{6})\}\)
11. \(\left\{\begin{matrix}-2x-2y=\frac{335}{19}\\-x+3y=\frac{-1109}{38}\end{matrix}\right.\qquad V=\{(\frac{13}{19},\frac{-19}{2})\}\)
12. \(\left\{\begin{matrix}-5x-6y=-15\\x-y=\frac{-61}{20}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{11}{4})\}\)