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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-4y=\frac{9}{34}\\x-y=\frac{-21}{68}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{76}{15}+x\\2x+3y=\frac{-51}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-6y=\frac{-882}{209}\\-x-2y=\frac{276}{209}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+y=\frac{7}{10}\\2x-4y=\frac{-23}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x+y=\frac{19}{5}\\5x=5y+1\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{-52}{3}-3x\\-6x+y=\frac{-1}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-4y=\frac{508}{85}\\-3x=4y+\frac{368}{85}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+y=\frac{-351}{70}\\4x-3y=\frac{99}{35}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+4y=\frac{-769}{63}\\-2x-5y=\frac{802}{63}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-3y=\frac{68}{45}\\5x=y+\frac{-94}{45}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-4y=\frac{-682}{39}\\-x-y=\frac{-184}{39}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-2y=\frac{62}{7}\\x-y=\frac{17}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-4y=\frac{9}{34}\\x-y=\frac{-21}{68}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{18}{17})\}\)
2. \(\left\{\begin{matrix}-y=\frac{76}{15}+x\\2x+3y=\frac{-51}{5}\end{matrix}\right.\qquad V=\{(-5,\frac{-1}{15})\}\)
3. \(\left\{\begin{matrix}2x-6y=\frac{-882}{209}\\-x-2y=\frac{276}{209}\end{matrix}\right.\qquad V=\{(\frac{-18}{11},\frac{3}{19})\}\)
4. \(\left\{\begin{matrix}4x+y=\frac{7}{10}\\2x-4y=\frac{-23}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{11}{10})\}\)
5. \(\left\{\begin{matrix}-5x+y=\frac{19}{5}\\5x=5y+1\end{matrix}\right.\qquad V=\{(-1,\frac{-6}{5})\}\)
6. \(\left\{\begin{matrix}3y=\frac{-52}{3}-3x\\-6x+y=\frac{-1}{3}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},-5)\}\)
7. \(\left\{\begin{matrix}-x-4y=\frac{508}{85}\\-3x=4y+\frac{368}{85}\end{matrix}\right.\qquad V=\{(\frac{14}{17},\frac{-17}{10})\}\)
8. \(\left\{\begin{matrix}5x+y=\frac{-351}{70}\\4x-3y=\frac{99}{35}\end{matrix}\right.\qquad V=\{(\frac{-9}{14},\frac{-9}{5})\}\)
9. \(\left\{\begin{matrix}-x+4y=\frac{-769}{63}\\-2x-5y=\frac{802}{63}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{-20}{7})\}\)
10. \(\left\{\begin{matrix}5x-3y=\frac{68}{45}\\5x=y+\frac{-94}{45}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},\frac{-9}{5})\}\)
11. \(\left\{\begin{matrix}-3x-4y=\frac{-682}{39}\\-x-y=\frac{-184}{39}\end{matrix}\right.\qquad V=\{(\frac{18}{13},\frac{10}{3})\}\)
12. \(\left\{\begin{matrix}3x-2y=\frac{62}{7}\\x-y=\frac{17}{7}\end{matrix}\right.\qquad V=\{(4,\frac{11}{7})\}\)