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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+2y=\frac{-17}{6}\\-4x-y=\frac{20}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+2y=\frac{-61}{12}\\-2x=y+\frac{11}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+6y=50\\-6x=-y+11\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x+y=\frac{14}{3}\\6x-5y=\frac{7}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+4y=-22\\-2x=y+13\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+3y=\frac{909}{209}\\-x+y=\frac{-267}{209}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{-497}{13}+6x\\-2x-y=\frac{-171}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+3y=-3\\-x=-4y+3\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-3y=\frac{-642}{77}\\x=-y+\frac{-67}{154}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+3y=\frac{89}{7}\\-3x+3y=\frac{99}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+3y=\frac{8}{15}\\4x=-y+\frac{-37}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{73}{16}-2x\\-2x-2y=\frac{-23}{8}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+2y=\frac{-17}{6}\\-4x-y=\frac{20}{3}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-11}{3})\}\)
2. \(\left\{\begin{matrix}3x+2y=\frac{-61}{12}\\-2x=y+\frac{11}{3}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{5}{6})\}\)
3. \(\left\{\begin{matrix}-4x+6y=50\\-6x=-y+11\end{matrix}\right.\qquad V=\{(\frac{-1}{2},8)\}\)
4. \(\left\{\begin{matrix}3x+y=\frac{14}{3}\\6x-5y=\frac{7}{3}\end{matrix}\right.\qquad V=\{(\frac{11}{9},1)\}\)
5. \(\left\{\begin{matrix}3x+4y=-22\\-2x=y+13\end{matrix}\right.\qquad V=\{(-6,-1)\}\)
6. \(\left\{\begin{matrix}6x+3y=\frac{909}{209}\\-x+y=\frac{-267}{209}\end{matrix}\right.\qquad V=\{(\frac{10}{11},\frac{-7}{19})\}\)
7. \(\left\{\begin{matrix}5y=\frac{-497}{13}+6x\\-2x-y=\frac{-171}{13}\end{matrix}\right.\qquad V=\{(\frac{13}{2},\frac{2}{13})\}\)
8. \(\left\{\begin{matrix}-6x+3y=-3\\-x=-4y+3\end{matrix}\right.\qquad V=\{(1,1)\}\)
9. \(\left\{\begin{matrix}6x-3y=\frac{-642}{77}\\x=-y+\frac{-67}{154}\end{matrix}\right.\qquad V=\{(\frac{-15}{14},\frac{7}{11})\}\)
10. \(\left\{\begin{matrix}-x+3y=\frac{89}{7}\\-3x+3y=\frac{99}{7}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},4)\}\)
11. \(\left\{\begin{matrix}-5x+3y=\frac{8}{15}\\4x=-y+\frac{-37}{15}\end{matrix}\right.\qquad V=\{(\frac{-7}{15},\frac{-3}{5})\}\)
12. \(\left\{\begin{matrix}-y=\frac{73}{16}-2x\\-2x-2y=\frac{-23}{8}\end{matrix}\right.\qquad V=\{(2,\frac{-9}{16})\}\)