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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+4y=\frac{-11}{2}\\-3x=6y+\frac{39}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x-2y=\frac{19}{2}\\x+2y=\frac{7}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{-94}{33}+5x\\4x+y=\frac{241}{99}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-y=\frac{-206}{165}\\-4x-5y=\frac{26}{165}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-4y=\frac{484}{17}\\-x=-y+\frac{117}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-2y=\frac{503}{85}\\x=-3y+\frac{-757}{340}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+y=\frac{207}{56}\\5x-5y=\frac{-1035}{56}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{-60}{13}+x\\-4x-2y=\frac{46}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{-129}{76}-4x\\-x+y=\frac{207}{152}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x-5y=\frac{2}{3}\\-3x=y+\frac{-31}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-4y=\frac{3}{5}\\x+5y=\frac{12}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-6y=\frac{-107}{21}\\-6x=-y+\frac{1355}{126}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+4y=\frac{-11}{2}\\-3x=6y+\frac{39}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},-2)\}\)
2. \(\left\{\begin{matrix}-6x-2y=\frac{19}{2}\\x+2y=\frac{7}{4}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},2)\}\)
3. \(\left\{\begin{matrix}-3y=\frac{-94}{33}+5x\\4x+y=\frac{241}{99}\end{matrix}\right.\qquad V=\{(\frac{7}{11},\frac{-1}{9})\}\)
4. \(\left\{\begin{matrix}4x-y=\frac{-206}{165}\\-4x-5y=\frac{26}{165}\end{matrix}\right.\qquad V=\{(\frac{-4}{15},\frac{2}{11})\}\)
5. \(\left\{\begin{matrix}-4x-4y=\frac{484}{17}\\-x=-y+\frac{117}{17}\end{matrix}\right.\qquad V=\{(-7,\frac{-2}{17})\}\)
6. \(\left\{\begin{matrix}4x-2y=\frac{503}{85}\\x=-3y+\frac{-757}{340}\end{matrix}\right.\qquad V=\{(\frac{19}{20},\frac{-18}{17})\}\)
7. \(\left\{\begin{matrix}-x+y=\frac{207}{56}\\5x-5y=\frac{-1035}{56}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{18}{7})\}\)
8. \(\left\{\begin{matrix}5y=\frac{-60}{13}+x\\-4x-2y=\frac{46}{13}\end{matrix}\right.\qquad V=\{(\frac{-5}{13},-1)\}\)
9. \(\left\{\begin{matrix}2y=\frac{-129}{76}-4x\\-x+y=\frac{207}{152}\end{matrix}\right.\qquad V=\{(\frac{-14}{19},\frac{5}{8})\}\)
10. \(\left\{\begin{matrix}-4x-5y=\frac{2}{3}\\-3x=y+\frac{-31}{15}\end{matrix}\right.\qquad V=\{(1,\frac{-14}{15})\}\)
11. \(\left\{\begin{matrix}-5x-4y=\frac{3}{5}\\x+5y=\frac{12}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{3}{5})\}\)
12. \(\left\{\begin{matrix}4x-6y=\frac{-107}{21}\\-6x=-y+\frac{1355}{126}\end{matrix}\right.\qquad V=\{(\frac{-13}{7},\frac{-7}{18})\}\)