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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+2y=\frac{19}{6}\\-x+y=\frac{19}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+5y=\frac{-389}{15}\\5x=-4y+\frac{-74}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+6y=\frac{366}{13}\\-2x-y=\frac{-23}{39}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+6y=\frac{-68}{3}\\-5x=-y+\frac{47}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+6y=\frac{26}{17}\\-x=5y+\frac{37}{51}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+2y=\frac{9}{10}\\x+6y=\frac{-53}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+4y=\frac{-1404}{187}\\x=-4y+\frac{-894}{187}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{-58}{3}+6x\\x-3y=1\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=-41+2x\\x-4y=\frac{104}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+4y=\frac{127}{91}\\-2x=4y+\frac{-166}{91}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-2y=\frac{-46}{9}\\-x-2y=\frac{-56}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+3y=\frac{-51}{10}\\x=-3y+\frac{29}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+2y=\frac{19}{6}\\-x+y=\frac{19}{12}\end{matrix}\right.\qquad V=\{(\frac{-13}{20},\frac{14}{15})\}\)
2. \(\left\{\begin{matrix}x+5y=\frac{-389}{15}\\5x=-4y+\frac{-74}{3}\end{matrix}\right.\qquad V=\{(\frac{-14}{15},-5)\}\)
3. \(\left\{\begin{matrix}-4x+6y=\frac{366}{13}\\-2x-y=\frac{-23}{39}\end{matrix}\right.\qquad V=\{(\frac{-20}{13},\frac{11}{3})\}\)
4. \(\left\{\begin{matrix}5x+6y=\frac{-68}{3}\\-5x=-y+\frac{47}{3}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},-1)\}\)
5. \(\left\{\begin{matrix}3x+6y=\frac{26}{17}\\-x=5y+\frac{37}{51}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-7}{17})\}\)
6. \(\left\{\begin{matrix}-5x+2y=\frac{9}{10}\\x+6y=\frac{-53}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-4}{5})\}\)
7. \(\left\{\begin{matrix}6x+4y=\frac{-1404}{187}\\x=-4y+\frac{-894}{187}\end{matrix}\right.\qquad V=\{(\frac{-6}{11},\frac{-18}{17})\}\)
8. \(\left\{\begin{matrix}-2y=\frac{-58}{3}+6x\\x-3y=1\end{matrix}\right.\qquad V=\{(3,\frac{2}{3})\}\)
9. \(\left\{\begin{matrix}5y=-41+2x\\x-4y=\frac{104}{5}\end{matrix}\right.\qquad V=\{(20,\frac{-1}{5})\}\)
10. \(\left\{\begin{matrix}-x+4y=\frac{127}{91}\\-2x=4y+\frac{-166}{91}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{5}{13})\}\)
11. \(\left\{\begin{matrix}4x-2y=\frac{-46}{9}\\-x-2y=\frac{-56}{9}\end{matrix}\right.\qquad V=\{(\frac{2}{9},3)\}\)
12. \(\left\{\begin{matrix}-3x+3y=\frac{-51}{10}\\x=-3y+\frac{29}{10}\end{matrix}\right.\qquad V=\{(2,\frac{3}{10})\}\)