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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{199}{51}-3x\\5x-y=\frac{139}{51}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+3y=\frac{-49}{6}\\-5x=-y+\frac{29}{18}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-3y=\frac{-93}{2}\\4x+6y=96\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2y=\frac{46}{11}+2x\\-x-6y=\frac{43}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-y=\frac{1}{2}\\4x=-4y+3\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=-14-2x\\-x+4y=\frac{17}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{-9}{4}+3x\\-x+y=\frac{-1}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=20-2x\\4x-y=-16\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=4+2x\\2x+y=\frac{8}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+5y=\frac{167}{7}\\-x+y=\frac{-17}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{10}{3}-2x\\-2x+4y=\frac{8}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-4y=\frac{-58}{7}\\3x=-2y+\frac{34}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{199}{51}-3x\\5x-y=\frac{139}{51}\end{matrix}\right.\qquad V=\{(\frac{7}{17},\frac{-2}{3})\}\)
2. \(\left\{\begin{matrix}3x+3y=\frac{-49}{6}\\-5x=-y+\frac{29}{18}\end{matrix}\right.\qquad V=\{(\frac{-13}{18},-2)\}\)
3. \(\left\{\begin{matrix}-x-3y=\frac{-93}{2}\\4x+6y=96\end{matrix}\right.\qquad V=\{(\frac{3}{2},15)\}\)
4. \(\left\{\begin{matrix}-2y=\frac{46}{11}+2x\\-x-6y=\frac{43}{11}\end{matrix}\right.\qquad V=\{(\frac{-19}{11},\frac{-4}{11})\}\)
5. \(\left\{\begin{matrix}4x-y=\frac{1}{2}\\4x=-4y+3\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{1}{2})\}\)
6. \(\left\{\begin{matrix}-6y=-14-2x\\-x+4y=\frac{17}{3}\end{matrix}\right.\qquad V=\{(-11,\frac{-4}{3})\}\)
7. \(\left\{\begin{matrix}6y=\frac{-9}{4}+3x\\-x+y=\frac{-1}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-1}{2})\}\)
8. \(\left\{\begin{matrix}3y=20-2x\\4x-y=-16\end{matrix}\right.\qquad V=\{(-2,8)\}\)
9. \(\left\{\begin{matrix}-6y=4+2x\\2x+y=\frac{8}{13}\end{matrix}\right.\qquad V=\{(\frac{10}{13},\frac{-12}{13})\}\)
10. \(\left\{\begin{matrix}4x+5y=\frac{167}{7}\\-x+y=\frac{-17}{7}\end{matrix}\right.\qquad V=\{(4,\frac{11}{7})\}\)
11. \(\left\{\begin{matrix}-y=\frac{10}{3}-2x\\-2x+4y=\frac{8}{3}\end{matrix}\right.\qquad V=\{(\frac{8}{3},2)\}\)
12. \(\left\{\begin{matrix}-x-4y=\frac{-58}{7}\\3x=-2y+\frac{34}{7}\end{matrix}\right.\qquad V=\{(\frac{2}{7},2)\}\)