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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-4y=\frac{332}{35}\\-2x=y+\frac{-499}{70}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{-27}{4}+4x\\3x+y=\frac{47}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{-58}{11}+5x\\-x-2y=\frac{4}{11}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+3y=\frac{-45}{34}\\-2x-5y=\frac{73}{34}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+y=\frac{-259}{30}\\2x=6y+\frac{109}{30}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-6y=\frac{-44}{3}\\x=5y+\frac{-46}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+2y=\frac{44}{13}\\2x=-y+\frac{34}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{1099}{132}-5x\\-x+5y=\frac{-623}{132}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-5y=6\\4x-6y=-11\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{-263}{17}-2x\\x-6y=\frac{-769}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-2y=\frac{-230}{119}\\6x=y+\frac{-387}{119}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-6y=\frac{1384}{171}\\x+y=\frac{-256}{171}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-4y=\frac{332}{35}\\-2x=y+\frac{-499}{70}\end{matrix}\right.\qquad V=\{(\frac{19}{7},\frac{17}{10})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{-27}{4}+4x\\3x+y=\frac{47}{12}\end{matrix}\right.\qquad V=\{(1,\frac{11}{12})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{-58}{11}+5x\\-x-2y=\frac{4}{11}\end{matrix}\right.\qquad V=\{(2,\frac{-13}{11})\}\)
4. \(\left\{\begin{matrix}x+3y=\frac{-45}{34}\\-2x-5y=\frac{73}{34}\end{matrix}\right.\qquad V=\{(\frac{3}{17},\frac{-1}{2})\}\)
5. \(\left\{\begin{matrix}-6x+y=\frac{-259}{30}\\2x=6y+\frac{109}{30}\end{matrix}\right.\qquad V=\{(\frac{17}{12},\frac{-2}{15})\}\)
6. \(\left\{\begin{matrix}4x-6y=\frac{-44}{3}\\x=5y+\frac{-46}{3}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{10}{3})\}\)
7. \(\left\{\begin{matrix}2x+2y=\frac{44}{13}\\2x=-y+\frac{34}{13}\end{matrix}\right.\qquad V=\{(\frac{12}{13},\frac{10}{13})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{1099}{132}-5x\\-x+5y=\frac{-623}{132}\end{matrix}\right.\qquad V=\{(\frac{13}{12},\frac{-8}{11})\}\)
9. \(\left\{\begin{matrix}-x-5y=6\\4x-6y=-11\end{matrix}\right.\qquad V=\{(\frac{-7}{2},\frac{-1}{2})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{-263}{17}-2x\\x-6y=\frac{-769}{17}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},\frac{15}{2})\}\)
11. \(\left\{\begin{matrix}4x-2y=\frac{-230}{119}\\6x=y+\frac{-387}{119}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{-3}{17})\}\)
12. \(\left\{\begin{matrix}-4x-6y=\frac{1384}{171}\\x+y=\frac{-256}{171}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{-20}{19})\}\)