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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x+2y=\frac{-161}{52}\\6x=-5y+\frac{517}{26}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{33}{2}+6x\\6x-y=\frac{-35}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{-122}{17}+4x\\-x+y=\frac{46}{17}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-y=\frac{-1}{36}\\-3x+3y=\frac{31}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+y=\frac{113}{16}\\-4x=3y+\frac{-55}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{-696}{17}-x\\-2x+6y=\frac{-988}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-6y=\frac{-111}{10}\\5x+y=\frac{41}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+y=\frac{96}{7}\\-3x+3y=\frac{180}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x+2y=\frac{110}{13}\\-3x=-y+\frac{55}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-6y=\frac{435}{68}\\-5x=-y+\frac{127}{136}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-6y=114\\x=4y+-2\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+y=\frac{96}{11}\\-3x=3y+\frac{-24}{11}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x+2y=\frac{-161}{52}\\6x=-5y+\frac{517}{26}\end{matrix}\right.\qquad V=\{(\frac{13}{4},\frac{1}{13})\}\)
2. \(\left\{\begin{matrix}3y=\frac{33}{2}+6x\\6x-y=\frac{-35}{2}\end{matrix}\right.\qquad V=\{(-3,\frac{-1}{2})\}\)
3. \(\left\{\begin{matrix}-5y=\frac{-122}{17}+4x\\-x+y=\frac{46}{17}\end{matrix}\right.\qquad V=\{(\frac{-12}{17},2)\}\)
4. \(\left\{\begin{matrix}-2x-y=\frac{-1}{36}\\-3x+3y=\frac{31}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{18},\frac{7}{12})\}\)
5. \(\left\{\begin{matrix}-x+y=\frac{113}{16}\\-4x=3y+\frac{-55}{4}\end{matrix}\right.\qquad V=\{(\frac{-17}{16},6)\}\)
6. \(\left\{\begin{matrix}4y=\frac{-696}{17}-x\\-2x+6y=\frac{-988}{17}\end{matrix}\right.\qquad V=\{(\frac{-16}{17},-10)\}\)
7. \(\left\{\begin{matrix}-3x-6y=\frac{-111}{10}\\5x+y=\frac{41}{10}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{8}{5})\}\)
8. \(\left\{\begin{matrix}-3x+y=\frac{96}{7}\\-3x+3y=\frac{180}{7}\end{matrix}\right.\qquad V=\{(\frac{-18}{7},6)\}\)
9. \(\left\{\begin{matrix}-6x+2y=\frac{110}{13}\\-3x=-y+\frac{55}{13}\end{matrix}\right.\qquad V=\{(-1,\frac{16}{13})\}\)
10. \(\left\{\begin{matrix}-2x-6y=\frac{435}{68}\\-5x=-y+\frac{127}{136}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{-16}{17})\}\)
11. \(\left\{\begin{matrix}-5x-6y=114\\x=4y+-2\end{matrix}\right.\qquad V=\{(-18,-4)\}\)
12. \(\left\{\begin{matrix}5x+y=\frac{96}{11}\\-3x=3y+\frac{-24}{11}\end{matrix}\right.\qquad V=\{(2,\frac{-14}{11})\}\)