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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+3y=\frac{265}{152}\\-3x=-5y+\frac{923}{152}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-y=\frac{-163}{119}\\-3x+4y=\frac{-283}{119}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{211}{6}-4x\\x+6y=1\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-2y=\frac{-12}{5}\\-5x=-y+\frac{34}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6y=\frac{-173}{33}+x\\-6x-4y=\frac{14}{11}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+6y=\frac{-794}{45}\\x-4y=\frac{611}{45}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+4y=62\\5x=-3y+104\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x-2y=-30\\-x=y+17\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-5y=\frac{-15}{7}\\5x+y=\frac{-33}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-5y=\frac{-30}{7}\\-2x=-3y+\frac{-164}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+4y=\frac{5}{3}\\x=-4y+\frac{17}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+6y=8\\-x-3y=\frac{-5}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+3y=\frac{265}{152}\\-3x=-5y+\frac{923}{152}\end{matrix}\right.\qquad V=\{(\frac{-19}{8},\frac{-4}{19})\}\)
2. \(\left\{\begin{matrix}-2x-y=\frac{-163}{119}\\-3x+4y=\frac{-283}{119}\end{matrix}\right.\qquad V=\{(\frac{5}{7},\frac{-1}{17})\}\)
3. \(\left\{\begin{matrix}2y=\frac{211}{6}-4x\\x+6y=1\end{matrix}\right.\qquad V=\{(\frac{19}{2},\frac{-17}{12})\}\)
4. \(\left\{\begin{matrix}6x-2y=\frac{-12}{5}\\-5x=-y+\frac{34}{15}\end{matrix}\right.\qquad V=\{(\frac{-8}{15},\frac{-2}{5})\}\)
5. \(\left\{\begin{matrix}6y=\frac{-173}{33}+x\\-6x-4y=\frac{14}{11}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-9}{11})\}\)
6. \(\left\{\begin{matrix}2x+6y=\frac{-794}{45}\\x-4y=\frac{611}{45}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{-16}{5})\}\)
7. \(\left\{\begin{matrix}-x+4y=62\\5x=-3y+104\end{matrix}\right.\qquad V=\{(10,18)\}\)
8. \(\left\{\begin{matrix}2x-2y=-30\\-x=y+17\end{matrix}\right.\qquad V=\{(-16,-1)\}\)
9. \(\left\{\begin{matrix}5x-5y=\frac{-15}{7}\\5x+y=\frac{-33}{7}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{-3}{7})\}\)
10. \(\left\{\begin{matrix}-x-5y=\frac{-30}{7}\\-2x=-3y+\frac{-164}{7}\end{matrix}\right.\qquad V=\{(10,\frac{-8}{7})\}\)
11. \(\left\{\begin{matrix}2x+4y=\frac{5}{3}\\x=-4y+\frac{17}{6}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},1)\}\)
12. \(\left\{\begin{matrix}5x+6y=8\\-x-3y=\frac{-5}{2}\end{matrix}\right.\qquad V=\{(1,\frac{1}{2})\}\)