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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-y=\frac{1}{2}\\2x=-2y+\frac{31}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-6y=\frac{-11}{10}\\6x+y=\frac{117}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+y=\frac{-29}{20}\\-3x=6y+\frac{49}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{351}{119}+2x\\-5x-4y=\frac{1005}{119}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x-5y=\frac{-33}{4}\\-x+5y=\frac{49}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{601}{78}-6x\\5x-y=\frac{1249}{234}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+y=\frac{-32}{17}\\-2x=-4y+\frac{-134}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-6y=\frac{127}{11}\\x+5y=\frac{-71}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-6y=\frac{-78}{7}\\5x+y=\frac{-15}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+4y=\frac{292}{45}\\-2x=-y+\frac{173}{45}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+6y=-17\\2x=y+\frac{51}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+4y=\frac{-250}{9}\\-x=-y+\frac{127}{18}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-y=\frac{1}{2}\\2x=-2y+\frac{31}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},4)\}\)
2. \(\left\{\begin{matrix}-2x-6y=\frac{-11}{10}\\6x+y=\frac{117}{20}\end{matrix}\right.\qquad V=\{(1,\frac{-3}{20})\}\)
3. \(\left\{\begin{matrix}3x+y=\frac{-29}{20}\\-3x=6y+\frac{49}{20}\end{matrix}\right.\qquad V=\{(\frac{-5}{12},\frac{-1}{5})\}\)
4. \(\left\{\begin{matrix}-y=\frac{351}{119}+2x\\-5x-4y=\frac{1005}{119}\end{matrix}\right.\qquad V=\{(\frac{-19}{17},\frac{-5}{7})\}\)
5. \(\left\{\begin{matrix}-3x-5y=\frac{-33}{4}\\-x+5y=\frac{49}{4}\end{matrix}\right.\qquad V=\{(-1,\frac{9}{4})\}\)
6. \(\left\{\begin{matrix}-3y=\frac{601}{78}-6x\\5x-y=\frac{1249}{234}\end{matrix}\right.\qquad V=\{(\frac{12}{13},\frac{-13}{18})\}\)
7. \(\left\{\begin{matrix}-2x+y=\frac{-32}{17}\\-2x=-4y+\frac{-134}{17}\end{matrix}\right.\qquad V=\{(\frac{-1}{17},-2)\}\)
8. \(\left\{\begin{matrix}-5x-6y=\frac{127}{11}\\x+5y=\frac{-71}{11}\end{matrix}\right.\qquad V=\{(-1,\frac{-12}{11})\}\)
9. \(\left\{\begin{matrix}-6x-6y=\frac{-78}{7}\\5x+y=\frac{-15}{7}\end{matrix}\right.\qquad V=\{(-1,\frac{20}{7})\}\)
10. \(\left\{\begin{matrix}-4x+4y=\frac{292}{45}\\-2x=-y+\frac{173}{45}\end{matrix}\right.\qquad V=\{(\frac{-20}{9},\frac{-3}{5})\}\)
11. \(\left\{\begin{matrix}5x+6y=-17\\2x=y+\frac{51}{10}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-7}{2})\}\)
12. \(\left\{\begin{matrix}4x+4y=\frac{-250}{9}\\-x=-y+\frac{127}{18}\end{matrix}\right.\qquad V=\{(-7,\frac{1}{18})\}\)