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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-6y=\frac{-14}{15}\\-3x+y=\frac{13}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x-5y=\frac{91}{24}\\-4x-4y=\frac{-1}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+4y=\frac{-3}{85}\\x-3y=\frac{77}{340}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-4y=\frac{-4}{11}\\-4x=-y+\frac{-69}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-5y=\frac{134}{17}\\-x=3y+\frac{96}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=2+5x\\-6x+y=-6\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-3y=-16\\x-2y=\frac{-22}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+y=\frac{-67}{21}\\2x+6y=\frac{158}{21}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+6y=\frac{-615}{88}\\x=-y+\frac{-245}{176}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{-250}{7}+x\\-3x-2y=\frac{-211}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-y=\frac{40}{3}\\-2x+2y=-5\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+5y=\frac{259}{8}\\-2x=-4y+\frac{103}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-6y=\frac{-14}{15}\\-3x+y=\frac{13}{5}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{3}{5})\}\)
2. \(\left\{\begin{matrix}x-5y=\frac{91}{24}\\-4x-4y=\frac{-1}{6}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-5}{8})\}\)
3. \(\left\{\begin{matrix}4x+4y=\frac{-3}{85}\\x-3y=\frac{77}{340}\end{matrix}\right.\qquad V=\{(\frac{1}{20},\frac{-1}{17})\}\)
4. \(\left\{\begin{matrix}2x-4y=\frac{-4}{11}\\-4x=-y+\frac{-69}{11}\end{matrix}\right.\qquad V=\{(\frac{20}{11},1)\}\)
5. \(\left\{\begin{matrix}-6x-5y=\frac{134}{17}\\-x=3y+\frac{96}{17}\end{matrix}\right.\qquad V=\{(\frac{6}{17},-2)\}\)
6. \(\left\{\begin{matrix}2y=2+5x\\-6x+y=-6\end{matrix}\right.\qquad V=\{(2,6)\}\)
7. \(\left\{\begin{matrix}-6x-3y=-16\\x-2y=\frac{-22}{3}\end{matrix}\right.\qquad V=\{(\frac{2}{3},4)\}\)
8. \(\left\{\begin{matrix}-x+y=\frac{-67}{21}\\2x+6y=\frac{158}{21}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{1}{7})\}\)
9. \(\left\{\begin{matrix}3x+6y=\frac{-615}{88}\\x=-y+\frac{-245}{176}\end{matrix}\right.\qquad V=\{(\frac{-5}{11},\frac{-15}{16})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{-250}{7}+x\\-3x-2y=\frac{-211}{7}\end{matrix}\right.\qquad V=\{(\frac{19}{7},11)\}\)
11. \(\left\{\begin{matrix}-4x-y=\frac{40}{3}\\-2x+2y=-5\end{matrix}\right.\qquad V=\{(\frac{-13}{6},\frac{-14}{3})\}\)
12. \(\left\{\begin{matrix}-x+5y=\frac{259}{8}\\-2x=-4y+\frac{103}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{13}{2})\}\)