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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-y=\frac{-52}{15}\\-5x=-6y+\frac{26}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-3y=\frac{38}{11}\\-3x+y=\frac{-14}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{-134}{9}+4x\\-3x+y=\frac{-17}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{-232}{15}+3x\\x+4y=\frac{112}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+y=\frac{-20}{3}\\-5x+4y=\frac{-229}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{-32}{3}-3x\\-x-y=\frac{-145}{36}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-5y=\frac{185}{26}\\x=-y+\frac{-209}{130}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+6y=\frac{25}{16}\\-x+6y=\frac{37}{16}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+y=3\\-4x=4y+-4\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{277}{88}+x\\-5x+4y=\frac{-343}{88}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x+4y=-9\\2x=-y+\frac{-27}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-2y=\frac{33}{238}\\-5x=4y+\frac{423}{238}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-y=\frac{-52}{15}\\-5x=-6y+\frac{26}{5}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-2}{15})\}\)
2. \(\left\{\begin{matrix}5x-3y=\frac{38}{11}\\-3x+y=\frac{-14}{11}\end{matrix}\right.\qquad V=\{(\frac{1}{11},-1)\}\)
3. \(\left\{\begin{matrix}-6y=\frac{-134}{9}+4x\\-3x+y=\frac{-17}{3}\end{matrix}\right.\qquad V=\{(\frac{20}{9},1)\}\)
4. \(\left\{\begin{matrix}-4y=\frac{-232}{15}+3x\\x+4y=\frac{112}{15}\end{matrix}\right.\qquad V=\{(4,\frac{13}{15})\}\)
5. \(\left\{\begin{matrix}2x+y=\frac{-20}{3}\\-5x+4y=\frac{-229}{12}\end{matrix}\right.\qquad V=\{(\frac{-7}{12},\frac{-11}{2})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{-32}{3}-3x\\-x-y=\frac{-145}{36}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{13}{4})\}\)
7. \(\left\{\begin{matrix}-2x-5y=\frac{185}{26}\\x=-y+\frac{-209}{130}\end{matrix}\right.\qquad V=\{(\frac{-4}{13},\frac{-13}{10})\}\)
8. \(\left\{\begin{matrix}-5x+6y=\frac{25}{16}\\-x+6y=\frac{37}{16}\end{matrix}\right.\qquad V=\{(\frac{3}{16},\frac{5}{12})\}\)
9. \(\left\{\begin{matrix}-x+y=3\\-4x=4y+-4\end{matrix}\right.\qquad V=\{(-1,2)\}\)
10. \(\left\{\begin{matrix}-4y=\frac{277}{88}+x\\-5x+4y=\frac{-343}{88}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{-9}{11})\}\)
11. \(\left\{\begin{matrix}-4x+4y=-9\\2x=-y+\frac{-27}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-15}{4})\}\)
12. \(\left\{\begin{matrix}x-2y=\frac{33}{238}\\-5x=4y+\frac{423}{238}\end{matrix}\right.\qquad V=\{(\frac{-3}{14},\frac{-3}{17})\}\)