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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+6y=\frac{1909}{16}\\-4x+5y=\frac{411}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{-73}{5}-3x\\x-2y=\frac{-1}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{112}{39}-4x\\x+y=\frac{100}{39}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3y=\frac{-500}{57}+4x\\-x-2y=\frac{-80}{57}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+6y=\frac{122}{39}\\6x=-y+\frac{-967}{234}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=\frac{-7}{306}-6x\\-x-y=\frac{-13}{306}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+4y=\frac{89}{20}\\x=y+\frac{-61}{80}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+5y=\frac{37}{6}\\-4x-6y=-6\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x+3y=\frac{153}{13}\\-4x=-y+\frac{246}{13}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+6y=\frac{880}{133}\\-x=-y+\frac{-143}{266}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+3y=\frac{292}{77}\\-x+2y=\frac{-34}{77}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{235}{17}-2x\\-x-y=\frac{179}{102}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+6y=\frac{1909}{16}\\-4x+5y=\frac{411}{4}\end{matrix}\right.\qquad V=\{(\frac{-11}{16},20)\}\)
2. \(\left\{\begin{matrix}4y=\frac{-73}{5}-3x\\x-2y=\frac{-1}{5}\end{matrix}\right.\qquad V=\{(-3,\frac{-7}{5})\}\)
3. \(\left\{\begin{matrix}-2y=\frac{112}{39}-4x\\x+y=\frac{100}{39}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{16}{13})\}\)
4. \(\left\{\begin{matrix}-3y=\frac{-500}{57}+4x\\-x-2y=\frac{-80}{57}\end{matrix}\right.\qquad V=\{(\frac{8}{3},\frac{-12}{19})\}\)
5. \(\left\{\begin{matrix}3x+6y=\frac{122}{39}\\6x=-y+\frac{-967}{234}\end{matrix}\right.\qquad V=\{(\frac{-11}{13},\frac{17}{18})\}\)
6. \(\left\{\begin{matrix}5y=\frac{-7}{306}-6x\\-x-y=\frac{-13}{306}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},\frac{5}{18})\}\)
7. \(\left\{\begin{matrix}-6x+4y=\frac{89}{20}\\x=y+\frac{-61}{80}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{1}{16})\}\)
8. \(\left\{\begin{matrix}x+5y=\frac{37}{6}\\-4x-6y=-6\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{4}{3})\}\)
9. \(\left\{\begin{matrix}-3x+3y=\frac{153}{13}\\-4x=-y+\frac{246}{13}\end{matrix}\right.\qquad V=\{(-5,\frac{-14}{13})\}\)
10. \(\left\{\begin{matrix}5x+6y=\frac{880}{133}\\-x=-y+\frac{-143}{266}\end{matrix}\right.\qquad V=\{(\frac{17}{19},\frac{5}{14})\}\)
11. \(\left\{\begin{matrix}-5x+3y=\frac{292}{77}\\-x+2y=\frac{-34}{77}\end{matrix}\right.\qquad V=\{(\frac{-14}{11},\frac{-6}{7})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{235}{17}-2x\\-x-y=\frac{179}{102}\end{matrix}\right.\qquad V=\{(\frac{7}{17},\frac{-13}{6})\}\)