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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-4y=\frac{-17}{6}\\-2x-y=\frac{-31}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x+2y=\frac{-24}{5}\\-x=-y+\frac{-12}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-3y=\frac{199}{190}\\-3x-y=\frac{-167}{190}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+4y=\frac{-924}{247}\\-6x=y+\frac{-1199}{247}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-4y=\frac{64}{21}\\-x+4y=\frac{-67}{21}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+y=\frac{15}{2}\\-6x-6y=-57\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-y=\frac{533}{323}\\-4x=4y+\frac{704}{323}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+3y=\frac{7}{9}\\-2x=-6y+\frac{94}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{23}{28}-x\\2x+5y=\frac{61}{84}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+5y=\frac{1935}{247}\\5x=y+\frac{-36}{247}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x+3y=\frac{-49}{30}\\-4x+y=\frac{-43}{30}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+5y=\frac{5}{3}\\-3x+y=\frac{-11}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-4y=\frac{-17}{6}\\-2x-y=\frac{-31}{12}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-5}{12})\}\)
2. \(\left\{\begin{matrix}-2x+2y=\frac{-24}{5}\\-x=-y+\frac{-12}{5}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-16}{15})\}\)
3. \(\left\{\begin{matrix}-2x-3y=\frac{199}{190}\\-3x-y=\frac{-167}{190}\end{matrix}\right.\qquad V=\{(\frac{10}{19},\frac{-7}{10})\}\)
4. \(\left\{\begin{matrix}2x+4y=\frac{-924}{247}\\-6x=y+\frac{-1199}{247}\end{matrix}\right.\qquad V=\{(\frac{20}{19},\frac{-19}{13})\}\)
5. \(\left\{\begin{matrix}2x-4y=\frac{64}{21}\\-x+4y=\frac{-67}{21}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},\frac{-5}{6})\}\)
6. \(\left\{\begin{matrix}5x+y=\frac{15}{2}\\-6x-6y=-57\end{matrix}\right.\qquad V=\{(\frac{-1}{2},10)\}\)
7. \(\left\{\begin{matrix}-4x-y=\frac{533}{323}\\-4x=4y+\frac{704}{323}\end{matrix}\right.\qquad V=\{(\frac{-7}{19},\frac{-3}{17})\}\)
8. \(\left\{\begin{matrix}x+3y=\frac{7}{9}\\-2x=-6y+\frac{94}{9}\end{matrix}\right.\qquad V=\{(\frac{-20}{9},1)\}\)
9. \(\left\{\begin{matrix}-3y=\frac{23}{28}-x\\2x+5y=\frac{61}{84}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{-1}{12})\}\)
10. \(\left\{\begin{matrix}2x+5y=\frac{1935}{247}\\5x=y+\frac{-36}{247}\end{matrix}\right.\qquad V=\{(\frac{5}{19},\frac{19}{13})\}\)
11. \(\left\{\begin{matrix}-4x+3y=\frac{-49}{30}\\-4x+y=\frac{-43}{30}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-1}{10})\}\)
12. \(\left\{\begin{matrix}-5x+5y=\frac{5}{3}\\-3x+y=\frac{-11}{3}\end{matrix}\right.\qquad V=\{(2,\frac{7}{3})\}\)