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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-4y=\frac{-56}{3}\\x-4y=\frac{-14}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x-6y=\frac{78}{5}\\-x+y=\frac{-17}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x-y=\frac{91}{17}\\3x+3y=\frac{-381}{17}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{11}{10}-6x\\-5x+2y=\frac{-19}{30}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-5y=\frac{505}{323}\\-x=-6y+\frac{-1461}{323}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+2y=\frac{12}{5}\\4x-y=\frac{-1}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+2y=\frac{-205}{63}\\-x=-4y+\frac{31}{63}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{521}{16}+5x\\-4x+y=\frac{51}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+4y=\frac{-222}{7}\\x+y=\frac{-117}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+y=\frac{-23}{10}\\4x=-4y+\frac{-16}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+3y=\frac{155}{7}\\2x+y=\frac{61}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=-25+4x\\-2x-5y=-80\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-4y=\frac{-56}{3}\\x-4y=\frac{-14}{3}\end{matrix}\right.\qquad V=\{(-14,\frac{-7}{3})\}\)
2. \(\left\{\begin{matrix}-6x-6y=\frac{78}{5}\\-x+y=\frac{-17}{5}\end{matrix}\right.\qquad V=\{(\frac{2}{5},-3)\}\)
3. \(\left\{\begin{matrix}-5x-y=\frac{91}{17}\\3x+3y=\frac{-381}{17}\end{matrix}\right.\qquad V=\{(\frac{9}{17},-8)\}\)
4. \(\left\{\begin{matrix}y=\frac{11}{10}-6x\\-5x+2y=\frac{-19}{30}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{1}{10})\}\)
5. \(\left\{\begin{matrix}5x-5y=\frac{505}{323}\\-x=-6y+\frac{-1461}{323}\end{matrix}\right.\qquad V=\{(\frac{-9}{17},\frac{-16}{19})\}\)
6. \(\left\{\begin{matrix}2x+2y=\frac{12}{5}\\4x-y=\frac{-1}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{5},1)\}\)
7. \(\left\{\begin{matrix}4x+2y=\frac{-205}{63}\\-x=-4y+\frac{31}{63}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},\frac{-1}{14})\}\)
8. \(\left\{\begin{matrix}3y=\frac{521}{16}+5x\\-4x+y=\frac{51}{4}\end{matrix}\right.\qquad V=\{(\frac{-13}{16},\frac{19}{2})\}\)
9. \(\left\{\begin{matrix}2x+4y=\frac{-222}{7}\\x+y=\frac{-117}{14}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{-15}{2})\}\)
10. \(\left\{\begin{matrix}2x+y=\frac{-23}{10}\\4x=-4y+\frac{-16}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{7}{10})\}\)
11. \(\left\{\begin{matrix}5x+3y=\frac{155}{7}\\2x+y=\frac{61}{7}\end{matrix}\right.\qquad V=\{(4,\frac{5}{7})\}\)
12. \(\left\{\begin{matrix}-y=-25+4x\\-2x-5y=-80\end{matrix}\right.\qquad V=\{(\frac{5}{2},15)\}\)