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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-2y=\frac{29}{5}\\-5x=y+\frac{-51}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-6y=\frac{-191}{10}\\3x=y+\frac{-433}{30}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x-y=\frac{193}{40}\\-2x=4y+\frac{-109}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+y=\frac{-67}{7}\\-4x+5y=\frac{-331}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+4y=\frac{388}{63}\\-x=4y+\frac{-316}{63}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{-649}{180}+3x\\-2x+4y=\frac{-533}{90}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{1}{5}-x\\4x-6y=\frac{44}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x-4y=\frac{1080}{91}\\-x+6y=\frac{-892}{91}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x-2y=\frac{15}{14}\\6x+y=\frac{30}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+y=\frac{-33}{7}\\6x=-2y+\frac{-52}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{-3}{2}+6x\\-x-5y=\frac{17}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{56}{11}+2x\\6x+6y=\frac{30}{11}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-2y=\frac{29}{5}\\-5x=y+\frac{-51}{10}\end{matrix}\right.\qquad V=\{(1,\frac{1}{10})\}\)
2. \(\left\{\begin{matrix}3x-6y=\frac{-191}{10}\\3x=y+\frac{-433}{30}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{14}{15})\}\)
3. \(\left\{\begin{matrix}5x-y=\frac{193}{40}\\-2x=4y+\frac{-109}{20}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{4}{5})\}\)
4. \(\left\{\begin{matrix}-x+y=\frac{-67}{7}\\-4x+5y=\frac{-331}{7}\end{matrix}\right.\qquad V=\{(\frac{4}{7},-9)\}\)
5. \(\left\{\begin{matrix}3x+4y=\frac{388}{63}\\-x=4y+\frac{-316}{63}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{10}{9})\}\)
6. \(\left\{\begin{matrix}y=\frac{-649}{180}+3x\\-2x+4y=\frac{-533}{90}\end{matrix}\right.\qquad V=\{(\frac{17}{20},\frac{-19}{18})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{1}{5}-x\\4x-6y=\frac{44}{5}\end{matrix}\right.\qquad V=\{(\frac{17}{5},\frac{4}{5})\}\)
8. \(\left\{\begin{matrix}5x-4y=\frac{1080}{91}\\-x+6y=\frac{-892}{91}\end{matrix}\right.\qquad V=\{(\frac{16}{13},\frac{-10}{7})\}\)
9. \(\left\{\begin{matrix}3x-2y=\frac{15}{14}\\6x+y=\frac{30}{7}\end{matrix}\right.\qquad V=\{(\frac{9}{14},\frac{3}{7})\}\)
10. \(\left\{\begin{matrix}4x+y=\frac{-33}{7}\\6x=-2y+\frac{-52}{7}\end{matrix}\right.\qquad V=\{(-1,\frac{-5}{7})\}\)
11. \(\left\{\begin{matrix}5y=\frac{-3}{2}+6x\\-x-5y=\frac{17}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{-3}{2})\}\)
12. \(\left\{\begin{matrix}y=\frac{56}{11}+2x\\6x+6y=\frac{30}{11}\end{matrix}\right.\qquad V=\{(\frac{-17}{11},2)\}\)