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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-5y=\frac{-493}{84}\\-x+4y=\frac{68}{21}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{39}{4}-3x\\x-y=\frac{7}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+5y=\frac{227}{3}\\x+5y=\frac{451}{6}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+y=\frac{4}{3}\\-6x=-5y+7\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-6y=-52\\6x+y=\frac{-247}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+2y=14\\2x=-y+\frac{75}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x+3y=\frac{-299}{7}\\x=3y+\frac{61}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+6y=\frac{-170}{21}\\4x=6y+\frac{20}{21}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-y=\frac{-9}{4}\\-3x+5y=\frac{69}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3y=\frac{-11}{4}+x\\2x+3y=\frac{5}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-6y=\frac{-9}{5}\\2x=-2y+\frac{-32}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-2y=\frac{-380}{33}\\x+2y=\frac{290}{33}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-5y=\frac{-493}{84}\\-x+4y=\frac{68}{21}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{11}{12})\}\)
2. \(\left\{\begin{matrix}5y=\frac{39}{4}-3x\\x-y=\frac{7}{12}\end{matrix}\right.\qquad V=\{(\frac{19}{12},1)\}\)
3. \(\left\{\begin{matrix}4x+5y=\frac{227}{3}\\x+5y=\frac{451}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{6},15)\}\)
4. \(\left\{\begin{matrix}-2x+y=\frac{4}{3}\\-6x=-5y+7\end{matrix}\right.\qquad V=\{(\frac{1}{12},\frac{3}{2})\}\)
5. \(\left\{\begin{matrix}3x-6y=-52\\6x+y=\frac{-247}{3}\end{matrix}\right.\qquad V=\{(-14,\frac{5}{3})\}\)
6. \(\left\{\begin{matrix}3x+2y=14\\2x=-y+\frac{75}{8}\end{matrix}\right.\qquad V=\{(\frac{19}{4},\frac{-1}{8})\}\)
7. \(\left\{\begin{matrix}-5x+3y=\frac{-299}{7}\\x=3y+\frac{61}{7}\end{matrix}\right.\qquad V=\{(\frac{17}{2},\frac{-1}{14})\}\)
8. \(\left\{\begin{matrix}x+6y=\frac{-170}{21}\\4x=6y+\frac{20}{21}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{-10}{9})\}\)
9. \(\left\{\begin{matrix}2x-y=\frac{-9}{4}\\-3x+5y=\frac{69}{8}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{3}{2})\}\)
10. \(\left\{\begin{matrix}-3y=\frac{-11}{4}+x\\2x+3y=\frac{5}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},1)\}\)
11. \(\left\{\begin{matrix}x-6y=\frac{-9}{5}\\2x=-2y+\frac{-32}{5}\end{matrix}\right.\qquad V=\{(-3,\frac{-1}{5})\}\)
12. \(\left\{\begin{matrix}4x-2y=\frac{-380}{33}\\x+2y=\frac{290}{33}\end{matrix}\right.\qquad V=\{(\frac{-6}{11},\frac{14}{3})\}\)