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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+3y=\frac{-60}{11}\\-x=y+\frac{24}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-4y=\frac{147}{5}\\x+6y=\frac{-61}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+y=\frac{-49}{24}\\-6x=-5y+\frac{-557}{24}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-6y=\frac{11}{2}\\3x=-2y+\frac{-7}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+y=\frac{153}{14}\\4x=-5y+\frac{349}{14}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-3y=\frac{-963}{152}\\-6x-y=\frac{-601}{152}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{5}{3}+4x\\-x-4y=\frac{-65}{12}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=-14+3x\\-4x-6y=-70\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+3y=\frac{44}{3}\\-3x=-6y+46\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=\frac{200}{7}-5x\\-x+2y=\frac{-48}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-y=\frac{218}{3}\\-6x+5y=\frac{-334}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{-61}{9}+2x\\x+5y=\frac{53}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+3y=\frac{-60}{11}\\-x=y+\frac{24}{11}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},-2)\}\)
2. \(\left\{\begin{matrix}2x-4y=\frac{147}{5}\\x+6y=\frac{-61}{10}\end{matrix}\right.\qquad V=\{(\frac{19}{2},\frac{-13}{5})\}\)
3. \(\left\{\begin{matrix}2x+y=\frac{-49}{24}\\-6x=-5y+\frac{-557}{24}\end{matrix}\right.\qquad V=\{(\frac{13}{16},\frac{-11}{3})\}\)
4. \(\left\{\begin{matrix}x-6y=\frac{11}{2}\\3x=-2y+\frac{-7}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},-1)\}\)
5. \(\left\{\begin{matrix}4x+y=\frac{153}{14}\\4x=-5y+\frac{349}{14}\end{matrix}\right.\qquad V=\{(\frac{13}{7},\frac{7}{2})\}\)
6. \(\left\{\begin{matrix}3x-3y=\frac{-963}{152}\\-6x-y=\frac{-601}{152}\end{matrix}\right.\qquad V=\{(\frac{5}{19},\frac{19}{8})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{5}{3}+4x\\-x-4y=\frac{-65}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{5}{3})\}\)
8. \(\left\{\begin{matrix}-y=-14+3x\\-4x-6y=-70\end{matrix}\right.\qquad V=\{(1,11)\}\)
9. \(\left\{\begin{matrix}x+3y=\frac{44}{3}\\-3x=-6y+46\end{matrix}\right.\qquad V=\{(\frac{-10}{3},6)\}\)
10. \(\left\{\begin{matrix}-6y=\frac{200}{7}-5x\\-x+2y=\frac{-48}{7}\end{matrix}\right.\qquad V=\{(4,\frac{-10}{7})\}\)
11. \(\left\{\begin{matrix}4x-y=\frac{218}{3}\\-6x+5y=\frac{-334}{3}\end{matrix}\right.\qquad V=\{(18,\frac{-2}{3})\}\)
12. \(\left\{\begin{matrix}-5y=\frac{-61}{9}+2x\\x+5y=\frac{53}{9}\end{matrix}\right.\qquad V=\{(\frac{8}{9},1)\}\)