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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+5y=\frac{380}{17}\\-5x=-y+\frac{-32}{17}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x-4y=\frac{-12}{5}\\2x=-y+\frac{37}{45}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x+y=\frac{527}{77}\\4x+3y=\frac{580}{77}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{-232}{9}-6x\\-2x+5y=\frac{26}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x+5y=\frac{-465}{28}\\-x=-6y+\frac{-172}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+2y=\frac{39}{20}\\-x-3y=\frac{-61}{40}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4y=\frac{344}{13}-2x\\x-6y=\frac{204}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-2y=\frac{-38}{13}\\5x=4y+\frac{-154}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+y=\frac{23}{24}\\-3x=-3y+\frac{-17}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{22}{3}-4x\\-x-5y=\frac{-11}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{103}{28}+3x\\6x-y=\frac{-59}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+6y=\frac{-642}{7}\\4x=-y+\frac{523}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+5y=\frac{380}{17}\\-5x=-y+\frac{-32}{17}\end{matrix}\right.\qquad V=\{(\frac{20}{17},4)\}\)
2. \(\left\{\begin{matrix}-6x-4y=\frac{-12}{5}\\2x=-y+\frac{37}{45}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{-1}{15})\}\)
3. \(\left\{\begin{matrix}6x+y=\frac{527}{77}\\4x+3y=\frac{580}{77}\end{matrix}\right.\qquad V=\{(\frac{13}{14},\frac{14}{11})\}\)
4. \(\left\{\begin{matrix}-y=\frac{-232}{9}-6x\\-2x+5y=\frac{26}{9}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{-11}{9})\}\)
5. \(\left\{\begin{matrix}-5x+5y=\frac{-465}{28}\\-x=-6y+\frac{-172}{7}\end{matrix}\right.\qquad V=\{(\frac{-13}{14},\frac{-17}{4})\}\)
6. \(\left\{\begin{matrix}3x+2y=\frac{39}{20}\\-x-3y=\frac{-61}{40}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{3}{8})\}\)
7. \(\left\{\begin{matrix}-4y=\frac{344}{13}-2x\\x-6y=\frac{204}{13}\end{matrix}\right.\qquad V=\{(12,\frac{-8}{13})\}\)
8. \(\left\{\begin{matrix}x-2y=\frac{-38}{13}\\5x=4y+\frac{-154}{13}\end{matrix}\right.\qquad V=\{(-2,\frac{6}{13})\}\)
9. \(\left\{\begin{matrix}x+y=\frac{23}{24}\\-3x=-3y+\frac{-17}{8}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{1}{8})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{22}{3}-4x\\-x-5y=\frac{-11}{3}\end{matrix}\right.\qquad V=\{(2,\frac{1}{3})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{103}{28}+3x\\6x-y=\frac{-59}{14}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-2}{7})\}\)
12. \(\left\{\begin{matrix}-6x+6y=\frac{-642}{7}\\4x=-y+\frac{523}{7}\end{matrix}\right.\qquad V=\{(18,\frac{19}{7})\}\)