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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{-51}{5}+6x\\x-4y=\frac{-23}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+2y=\frac{-40}{11}\\2x-6y=\frac{30}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-3y=\frac{113}{90}\\-x-4y=\frac{292}{45}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+2y=\frac{51}{70}\\-x-2y=\frac{-431}{70}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x+3y=\frac{125}{16}\\x+y=\frac{27}{80}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+2y=\frac{-48}{35}\\-3x=-y+\frac{-93}{70}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{-144}{35}-6x\\6x+6y=\frac{81}{35}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-6y=-60\\-4x=-y+\frac{-68}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-y=\frac{103}{24}-2x\\4x-6y=\frac{141}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{-67}{8}-3x\\2x-5y=\frac{-73}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{-292}{35}+x\\-5x-2y=\frac{-284}{35}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-2y=\frac{626}{255}\\-6x+y=\frac{213}{85}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{-51}{5}+6x\\x-4y=\frac{-23}{10}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{6}{5})\}\)
2. \(\left\{\begin{matrix}x+2y=\frac{-40}{11}\\2x-6y=\frac{30}{11}\end{matrix}\right.\qquad V=\{(\frac{-18}{11},-1)\}\)
3. \(\left\{\begin{matrix}-4x-3y=\frac{113}{90}\\-x-4y=\frac{292}{45}\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{-19}{10})\}\)
4. \(\left\{\begin{matrix}-3x+2y=\frac{51}{70}\\-x-2y=\frac{-431}{70}\end{matrix}\right.\qquad V=\{(\frac{19}{14},\frac{12}{5})\}\)
5. \(\left\{\begin{matrix}-5x+3y=\frac{125}{16}\\x+y=\frac{27}{80}\end{matrix}\right.\qquad V=\{(\frac{-17}{20},\frac{19}{16})\}\)
6. \(\left\{\begin{matrix}3x+2y=\frac{-48}{35}\\-3x=-y+\frac{-93}{70}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{-9}{10})\}\)
7. \(\left\{\begin{matrix}y=\frac{-144}{35}-6x\\6x+6y=\frac{81}{35}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{9}{7})\}\)
8. \(\left\{\begin{matrix}-4x-6y=-60\\-4x=-y+\frac{-68}{3}\end{matrix}\right.\qquad V=\{(7,\frac{16}{3})\}\)
9. \(\left\{\begin{matrix}-y=\frac{103}{24}-2x\\4x-6y=\frac{141}{4}\end{matrix}\right.\qquad V=\{(\frac{-19}{16},\frac{-20}{3})\}\)
10. \(\left\{\begin{matrix}y=\frac{-67}{8}-3x\\2x-5y=\frac{-73}{8}\end{matrix}\right.\qquad V=\{(-3,\frac{5}{8})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{-292}{35}+x\\-5x-2y=\frac{-284}{35}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{6}{5})\}\)
12. \(\left\{\begin{matrix}-4x-2y=\frac{626}{255}\\-6x+y=\frac{213}{85}\end{matrix}\right.\qquad V=\{(\frac{-7}{15},\frac{-5}{17})\}\)