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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+5y=-26\\x=5y+38\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-4y=\frac{179}{70}\\2x+y=\frac{-227}{140}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{23}{3}-4x\\-x-2y=\frac{-11}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-3y=21\\5x=-y+61\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+6y=\frac{-599}{247}\\-3x+4y=\frac{-887}{247}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+2y=\frac{-46}{9}\\-x=3y+\frac{73}{18}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+3y=\frac{102}{19}\\x=y+\frac{-35}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-3y=\frac{291}{7}\\-x=2y+\frac{249}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+5y=\frac{-15}{2}\\-6x-5y=20\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-5y=\frac{-767}{90}\\-5x=y+\frac{-131}{18}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+y=\frac{271}{18}\\5x=-6y+\frac{-74}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+y=\frac{87}{28}\\-6x=-6y+\frac{939}{56}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+5y=-26\\x=5y+38\end{matrix}\right.\qquad V=\{(3,-7)\}\)
2. \(\left\{\begin{matrix}-3x-4y=\frac{179}{70}\\2x+y=\frac{-227}{140}\end{matrix}\right.\qquad V=\{(\frac{-11}{14},\frac{-1}{20})\}\)
3. \(\left\{\begin{matrix}5y=\frac{23}{3}-4x\\-x-2y=\frac{-11}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{7}{3})\}\)
4. \(\left\{\begin{matrix}2x-3y=21\\5x=-y+61\end{matrix}\right.\qquad V=\{(12,1)\}\)
5. \(\left\{\begin{matrix}-x+6y=\frac{-599}{247}\\-3x+4y=\frac{-887}{247}\end{matrix}\right.\qquad V=\{(\frac{11}{13},\frac{-5}{19})\}\)
6. \(\left\{\begin{matrix}5x+2y=\frac{-46}{9}\\-x=3y+\frac{73}{18}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},\frac{-7}{6})\}\)
7. \(\left\{\begin{matrix}-4x+3y=\frac{102}{19}\\x=y+\frac{-35}{19}\end{matrix}\right.\qquad V=\{(\frac{3}{19},2)\}\)
8. \(\left\{\begin{matrix}6x-3y=\frac{291}{7}\\-x=2y+\frac{249}{7}\end{matrix}\right.\qquad V=\{(\frac{-11}{7},-17)\}\)
9. \(\left\{\begin{matrix}x+5y=\frac{-15}{2}\\-6x-5y=20\end{matrix}\right.\qquad V=\{(\frac{-5}{2},-1)\}\)
10. \(\left\{\begin{matrix}-3x-5y=\frac{-767}{90}\\-5x=y+\frac{-131}{18}\end{matrix}\right.\qquad V=\{(\frac{19}{15},\frac{17}{18})\}\)
11. \(\left\{\begin{matrix}-3x+y=\frac{271}{18}\\5x=-6y+\frac{-74}{3}\end{matrix}\right.\qquad V=\{(-5,\frac{1}{18})\}\)
12. \(\left\{\begin{matrix}4x+y=\frac{87}{28}\\-6x=-6y+\frac{939}{56}\end{matrix}\right.\qquad V=\{(\frac{1}{16},\frac{20}{7})\}\)