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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-4y=\frac{-1043}{144}\\-x=-3y+\frac{275}{48}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{151}{33}+2x\\-2x-5y=\frac{-179}{33}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{87}{11}-2x\\-2x+y=\frac{-141}{11}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+5y=\frac{-155}{8}\\-6x-y=\frac{111}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=\frac{103}{28}+2x\\-x-y=\frac{47}{56}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6y=\frac{12}{5}+x\\-3x+5y=\frac{-5}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-5y=\frac{67}{24}\\-6x+3y=\frac{-31}{8}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{-421}{57}-6x\\6x-3y=\frac{-427}{57}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+3y=\frac{1163}{247}\\x+3y=\frac{383}{247}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{38}{3}+5x\\-6x+6y=8\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{29}{11}+3x\\-x+y=\frac{29}{33}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+3y=\frac{-117}{20}\\-4x+6y=\frac{-81}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-4y=\frac{-1043}{144}\\-x=-3y+\frac{275}{48}\end{matrix}\right.\qquad V=\{(\frac{-1}{16},\frac{17}{9})\}\)
2. \(\left\{\begin{matrix}y=\frac{151}{33}+2x\\-2x-5y=\frac{-179}{33}\end{matrix}\right.\qquad V=\{(\frac{-16}{11},\frac{5}{3})\}\)
3. \(\left\{\begin{matrix}5y=\frac{87}{11}-2x\\-2x+y=\frac{-141}{11}\end{matrix}\right.\qquad V=\{(6,\frac{-9}{11})\}\)
4. \(\left\{\begin{matrix}5x+5y=\frac{-155}{8}\\-6x-y=\frac{111}{8}\end{matrix}\right.\qquad V=\{(-2,\frac{-15}{8})\}\)
5. \(\left\{\begin{matrix}5y=\frac{103}{28}+2x\\-x-y=\frac{47}{56}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{2}{7})\}\)
6. \(\left\{\begin{matrix}6y=\frac{12}{5}+x\\-3x+5y=\frac{-5}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{13}{20})\}\)
7. \(\left\{\begin{matrix}-x-5y=\frac{67}{24}\\-6x+3y=\frac{-31}{8}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-5}{8})\}\)
8. \(\left\{\begin{matrix}-y=\frac{-421}{57}-6x\\6x-3y=\frac{-427}{57}\end{matrix}\right.\qquad V=\{(\frac{-11}{9},\frac{1}{19})\}\)
9. \(\left\{\begin{matrix}-5x+3y=\frac{1163}{247}\\x+3y=\frac{383}{247}\end{matrix}\right.\qquad V=\{(\frac{-10}{19},\frac{9}{13})\}\)
10. \(\left\{\begin{matrix}-y=\frac{38}{3}+5x\\-6x+6y=8\end{matrix}\right.\qquad V=\{(\frac{-7}{3},-1)\}\)
11. \(\left\{\begin{matrix}3y=\frac{29}{11}+3x\\-x+y=\frac{29}{33}\end{matrix}\right.\qquad V=\{(\frac{-17}{11},\frac{-2}{3})\}\)
12. \(\left\{\begin{matrix}x+3y=\frac{-117}{20}\\-4x+6y=\frac{-81}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-11}{5})\}\)