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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+3y=\frac{35}{2}\\-6x+y=\frac{245}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x-3y=\frac{-756}{17}\\-2x=2y+\frac{-528}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+5y=\frac{-93}{4}\\x+2y=\frac{-87}{8}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-6y=\frac{523}{51}\\-5x=-y+\frac{-1523}{102}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+2y=\frac{48}{5}\\-x+4y=\frac{106}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+3y=\frac{-383}{14}\\-x=5y+\frac{661}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x-5y=\frac{-51}{2}\\-x-y=\frac{-15}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{-566}{33}+4x\\4x+y=\frac{461}{33}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+4y=\frac{795}{77}\\2x=y+\frac{409}{77}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-y=\frac{-139}{30}\\-5x=-5y+\frac{-103}{18}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-6y=\frac{-95}{12}\\6x-y=\frac{17}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{33}{8}+x\\3x-5y=\frac{-67}{8}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+3y=\frac{35}{2}\\-6x+y=\frac{245}{6}\end{matrix}\right.\qquad V=\{(-7,\frac{-7}{6})\}\)
2. \(\left\{\begin{matrix}x-3y=\frac{-756}{17}\\-2x=2y+\frac{-528}{17}\end{matrix}\right.\qquad V=\{(\frac{9}{17},15)\}\)
3. \(\left\{\begin{matrix}-2x+5y=\frac{-93}{4}\\x+2y=\frac{-87}{8}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},-5)\}\)
4. \(\left\{\begin{matrix}2x-6y=\frac{523}{51}\\-5x=-y+\frac{-1523}{102}\end{matrix}\right.\qquad V=\{(\frac{17}{6},\frac{-13}{17})\}\)
5. \(\left\{\begin{matrix}6x+2y=\frac{48}{5}\\-x+4y=\frac{106}{15}\end{matrix}\right.\qquad V=\{(\frac{14}{15},2)\}\)
6. \(\left\{\begin{matrix}4x+3y=\frac{-383}{14}\\-x=5y+\frac{661}{14}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{-19}{2})\}\)
7. \(\left\{\begin{matrix}3x-5y=\frac{-51}{2}\\-x-y=\frac{-15}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{2},6)\}\)
8. \(\left\{\begin{matrix}-6y=\frac{-566}{33}+4x\\4x+y=\frac{461}{33}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{7}{11})\}\)
9. \(\left\{\begin{matrix}5x+4y=\frac{795}{77}\\2x=y+\frac{409}{77}\end{matrix}\right.\qquad V=\{(\frac{17}{7},\frac{-5}{11})\}\)
10. \(\left\{\begin{matrix}-3x-y=\frac{-139}{30}\\-5x=-5y+\frac{-103}{18}\end{matrix}\right.\qquad V=\{(\frac{13}{9},\frac{3}{10})\}\)
11. \(\left\{\begin{matrix}5x-6y=\frac{-95}{12}\\6x-y=\frac{17}{8}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{15}{8})\}\)
12. \(\left\{\begin{matrix}3y=\frac{33}{8}+x\\3x-5y=\frac{-67}{8}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},1)\}\)