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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{-26}{3}+2x\\x-5y=\frac{25}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-6y=\frac{-111}{17}\\x=4y+\frac{-23}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+y=\frac{73}{260}\\-3x+3y=\frac{-1221}{260}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+6y=\frac{-53}{7}\\2x-2y=\frac{36}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x-5y=\frac{28}{3}\\-x+5y=\frac{-4}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{-25}{13}+x\\4x+2y=\frac{128}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{9}{4}-3x\\-x+y=\frac{-7}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+4y=\frac{-95}{14}\\-5x=-y+\frac{529}{56}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-y=\frac{-439}{34}\\6x=6y+\frac{-297}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=-12+4x\\x-4y=\frac{-13}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-5y=\frac{201}{35}\\x+2y=\frac{-282}{35}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-5y=\frac{242}{19}\\x-5y=\frac{346}{57}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{-26}{3}+2x\\x-5y=\frac{25}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-4}{3})\}\)
2. \(\left\{\begin{matrix}-3x-6y=\frac{-111}{17}\\x=4y+\frac{-23}{17}\end{matrix}\right.\qquad V=\{(1,\frac{10}{17})\}\)
3. \(\left\{\begin{matrix}2x+y=\frac{73}{260}\\-3x+3y=\frac{-1221}{260}\end{matrix}\right.\qquad V=\{(\frac{8}{13},\frac{-19}{20})\}\)
4. \(\left\{\begin{matrix}-x+6y=\frac{-53}{7}\\2x-2y=\frac{36}{7}\end{matrix}\right.\qquad V=\{(\frac{11}{7},-1)\}\)
5. \(\left\{\begin{matrix}-3x-5y=\frac{28}{3}\\-x+5y=\frac{-4}{3}\end{matrix}\right.\qquad V=\{(-2,\frac{-2}{3})\}\)
6. \(\left\{\begin{matrix}-y=\frac{-25}{13}+x\\4x+2y=\frac{128}{13}\end{matrix}\right.\qquad V=\{(3,\frac{-14}{13})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{9}{4}-3x\\-x+y=\frac{-7}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},-3)\}\)
8. \(\left\{\begin{matrix}6x+4y=\frac{-95}{14}\\-5x=-y+\frac{529}{56}\end{matrix}\right.\qquad V=\{(\frac{-12}{7},\frac{7}{8})\}\)
9. \(\left\{\begin{matrix}5x-y=\frac{-439}{34}\\6x=6y+\frac{-297}{17}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{7}{17})\}\)
10. \(\left\{\begin{matrix}-6y=-12+4x\\x-4y=\frac{-13}{3}\end{matrix}\right.\qquad V=\{(1,\frac{4}{3})\}\)
11. \(\left\{\begin{matrix}2x-5y=\frac{201}{35}\\x+2y=\frac{-282}{35}\end{matrix}\right.\qquad V=\{(\frac{-16}{5},\frac{-17}{7})\}\)
12. \(\left\{\begin{matrix}6x-5y=\frac{242}{19}\\x-5y=\frac{346}{57}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-18}{19})\}\)