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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{-125}{24}-5x\\x-2y=\frac{73}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{-33}{2}-x\\2x+5y=6\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{-7}{11}-3x\\-4x+y=\frac{31}{11}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+y=\frac{1}{3}\\-4x+6y=\frac{-26}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-4y=\frac{-460}{171}\\5x=-y+\frac{-1348}{171}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-4y=-8\\-x=y+\frac{-7}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{1002}{17}-2x\\2x-y=\frac{-358}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x-3y=\frac{1}{6}\\2x+y=\frac{-41}{18}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-2y=\frac{457}{30}\\x=-4y+\frac{31}{30}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+6y=\frac{1674}{187}\\x=-6y+\frac{959}{187}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{-6}{5}+x\\4x+3y=\frac{7}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{123}{11}+x\\-4x+3y=\frac{30}{11}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{-125}{24}-5x\\x-2y=\frac{73}{12}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-19}{8})\}\)
2. \(\left\{\begin{matrix}-4y=\frac{-33}{2}-x\\2x+5y=6\end{matrix}\right.\qquad V=\{(\frac{-9}{2},3)\}\)
3. \(\left\{\begin{matrix}-2y=\frac{-7}{11}-3x\\-4x+y=\frac{31}{11}\end{matrix}\right.\qquad V=\{(-1,\frac{-13}{11})\}\)
4. \(\left\{\begin{matrix}x+y=\frac{1}{3}\\-4x+6y=\frac{-26}{3}\end{matrix}\right.\qquad V=\{(\frac{16}{15},\frac{-11}{15})\}\)
5. \(\left\{\begin{matrix}2x-4y=\frac{-460}{171}\\5x=-y+\frac{-1348}{171}\end{matrix}\right.\qquad V=\{(\frac{-14}{9},\frac{-2}{19})\}\)
6. \(\left\{\begin{matrix}-2x-4y=-8\\-x=y+\frac{-7}{2}\end{matrix}\right.\qquad V=\{(3,\frac{1}{2})\}\)
7. \(\left\{\begin{matrix}3y=\frac{1002}{17}-2x\\2x-y=\frac{-358}{17}\end{matrix}\right.\qquad V=\{(\frac{-9}{17},20)\}\)
8. \(\left\{\begin{matrix}2x-3y=\frac{1}{6}\\2x+y=\frac{-41}{18}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-11}{18})\}\)
9. \(\left\{\begin{matrix}-5x-2y=\frac{457}{30}\\x=-4y+\frac{31}{30}\end{matrix}\right.\qquad V=\{(\frac{-7}{2},\frac{17}{15})\}\)
10. \(\left\{\begin{matrix}6x+6y=\frac{1674}{187}\\x=-6y+\frac{959}{187}\end{matrix}\right.\qquad V=\{(\frac{13}{17},\frac{8}{11})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{-6}{5}+x\\4x+3y=\frac{7}{2}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{1}{10})\}\)
12. \(\left\{\begin{matrix}6y=\frac{123}{11}+x\\-4x+3y=\frac{30}{11}\end{matrix}\right.\qquad V=\{(\frac{9}{11},2)\}\)