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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-5y=\frac{-23}{4}\\-4x+y=\frac{83}{20}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+y=\frac{292}{165}\\6x=6y+\frac{-584}{55}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-6y=\frac{-632}{209}\\-3x+y=\frac{156}{209}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{-544}{55}+2x\\-x-y=\frac{78}{55}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{203}{30}-5x\\-5x+6y=\frac{-109}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-5y=\frac{-61}{4}\\-x-y=\frac{23}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-5y=\frac{731}{56}\\x=2y+\frac{115}{28}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{11}{16}-x\\-2x-2y=\frac{23}{24}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{316}{45}-4x\\-x+6y=\frac{299}{45}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+3y=\frac{-19}{3}\\-x+y=\frac{-8}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+2y=\frac{53}{6}\\x=2y+\frac{-37}{30}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+4y=\frac{104}{7}\\6x=-3y+\frac{183}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-5y=\frac{-23}{4}\\-4x+y=\frac{83}{20}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{7}{4})\}\)
2. \(\left\{\begin{matrix}-x+y=\frac{292}{165}\\6x=6y+\frac{-584}{55}\end{matrix}\right.\qquad V=\{(\frac{-7}{11},\frac{17}{15})\}\)
3. \(\left\{\begin{matrix}2x-6y=\frac{-632}{209}\\-3x+y=\frac{156}{209}\end{matrix}\right.\qquad V=\{(\frac{-1}{11},\frac{9}{19})\}\)
4. \(\left\{\begin{matrix}5y=\frac{-544}{55}+2x\\-x-y=\frac{78}{55}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-20}{11})\}\)
5. \(\left\{\begin{matrix}-y=\frac{203}{30}-5x\\-5x+6y=\frac{-109}{15}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-1}{10})\}\)
6. \(\left\{\begin{matrix}6x-5y=\frac{-61}{4}\\-x-y=\frac{23}{4}\end{matrix}\right.\qquad V=\{(-4,\frac{-7}{4})\}\)
7. \(\left\{\begin{matrix}4x-5y=\frac{731}{56}\\x=2y+\frac{115}{28}\end{matrix}\right.\qquad V=\{(\frac{13}{7},\frac{-9}{8})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{11}{16}-x\\-2x-2y=\frac{23}{24}\end{matrix}\right.\qquad V=\{(\frac{-5}{16},\frac{-1}{6})\}\)
9. \(\left\{\begin{matrix}4y=\frac{316}{45}-4x\\-x+6y=\frac{299}{45}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{6}{5})\}\)
10. \(\left\{\begin{matrix}-5x+3y=\frac{-19}{3}\\-x+y=\frac{-8}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-7}{2})\}\)
11. \(\left\{\begin{matrix}5x+2y=\frac{53}{6}\\x=2y+\frac{-37}{30}\end{matrix}\right.\qquad V=\{(\frac{19}{15},\frac{5}{4})\}\)
12. \(\left\{\begin{matrix}x+4y=\frac{104}{7}\\6x=-3y+\frac{183}{7}\end{matrix}\right.\qquad V=\{(\frac{20}{7},3)\}\)