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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+4y=\frac{-344}{45}\\4x=-y+\frac{-23}{45}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-3y=\frac{-83}{21}\\3x=-y+\frac{71}{35}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x+4y=\frac{323}{4}\\-x+y=\frac{-197}{16}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+y=\frac{419}{20}\\-3x-2y=\frac{-52}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-y=\frac{8}{3}\\5x+2y=\frac{-5}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{-497}{15}+4x\\3x+3y=\frac{281}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x-3y=\frac{52}{55}\\-5x=y+\frac{-16}{33}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{-35}{6}-6x\\-4x-y=\frac{40}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{95}{22}-3x\\6x+y=\frac{-49}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-2y=\frac{3}{2}\\x=-y+1\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-5y=\frac{169}{6}\\-5x=y+\frac{-103}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{1084}{57}+5x\\-6x+2y=\frac{392}{19}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+4y=\frac{-344}{45}\\4x=-y+\frac{-23}{45}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-19}{9})\}\)
2. \(\left\{\begin{matrix}-5x-3y=\frac{-83}{21}\\3x=-y+\frac{71}{35}\end{matrix}\right.\qquad V=\{(\frac{8}{15},\frac{3}{7})\}\)
3. \(\left\{\begin{matrix}6x+4y=\frac{323}{4}\\-x+y=\frac{-197}{16}\end{matrix}\right.\qquad V=\{(13,\frac{11}{16})\}\)
4. \(\left\{\begin{matrix}6x+y=\frac{419}{20}\\-3x-2y=\frac{-52}{5}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{-1}{20})\}\)
5. \(\left\{\begin{matrix}3x-y=\frac{8}{3}\\5x+2y=\frac{-5}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-5}{3})\}\)
6. \(\left\{\begin{matrix}y=\frac{-497}{15}+4x\\3x+3y=\frac{281}{10}\end{matrix}\right.\qquad V=\{(\frac{17}{2},\frac{13}{15})\}\)
7. \(\left\{\begin{matrix}3x-3y=\frac{52}{55}\\-5x=y+\frac{-16}{33}\end{matrix}\right.\qquad V=\{(\frac{2}{15},\frac{-2}{11})\}\)
8. \(\left\{\begin{matrix}3y=\frac{-35}{6}-6x\\-4x-y=\frac{40}{9}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{5}{9})\}\)
9. \(\left\{\begin{matrix}-4y=\frac{95}{22}-3x\\6x+y=\frac{-49}{11}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-16}{11})\}\)
10. \(\left\{\begin{matrix}5x-2y=\frac{3}{2}\\x=-y+1\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{1}{2})\}\)
11. \(\left\{\begin{matrix}5x-5y=\frac{169}{6}\\-5x=y+\frac{-103}{6}\end{matrix}\right.\qquad V=\{(\frac{19}{5},\frac{-11}{6})\}\)
12. \(\left\{\begin{matrix}-y=\frac{1084}{57}+5x\\-6x+2y=\frac{392}{19}\end{matrix}\right.\qquad V=\{(\frac{-11}{3},\frac{-13}{19})\}\)