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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-6y=\frac{-331}{56}\\-2x-y=\frac{-97}{28}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{-6}{7}+2x\\-x-3y=\frac{12}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=5+6x\\3x+y=-2\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-2y=\frac{-136}{39}\\-3x=y+\frac{62}{39}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-y=\frac{423}{77}\\6x-6y=\frac{-1158}{77}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{-41}{7}+4x\\-5x-y=\frac{-289}{56}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+6y=\frac{-92}{5}\\-4x=y+\frac{163}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{71}{14}+2x\\-3x-y=\frac{-433}{28}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=-27+3x\\3x+y=\frac{147}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-y=\frac{26}{5}\\5x+2y=-9\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{-99}{20}+5x\\x+4y=\frac{47}{20}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+3y=\frac{-149}{21}\\5x+y=\frac{592}{63}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-6y=\frac{-331}{56}\\-2x-y=\frac{-97}{28}\end{matrix}\right.\qquad V=\{(\frac{7}{8},\frac{12}{7})\}\)
2. \(\left\{\begin{matrix}4y=\frac{-6}{7}+2x\\-x-3y=\frac{12}{7}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{-3}{7})\}\)
3. \(\left\{\begin{matrix}-3y=5+6x\\3x+y=-2\end{matrix}\right.\qquad V=\{(\frac{-1}{3},-1)\}\)
4. \(\left\{\begin{matrix}6x-2y=\frac{-136}{39}\\-3x=y+\frac{62}{39}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},\frac{1}{13})\}\)
5. \(\left\{\begin{matrix}-6x-y=\frac{423}{77}\\6x-6y=\frac{-1158}{77}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{15}{11})\}\)
6. \(\left\{\begin{matrix}-3y=\frac{-41}{7}+4x\\-5x-y=\frac{-289}{56}\end{matrix}\right.\qquad V=\{(\frac{7}{8},\frac{11}{14})\}\)
7. \(\left\{\begin{matrix}6x+6y=\frac{-92}{5}\\-4x=y+\frac{163}{15}\end{matrix}\right.\qquad V=\{(\frac{-13}{5},\frac{-7}{15})\}\)
8. \(\left\{\begin{matrix}5y=\frac{71}{14}+2x\\-3x-y=\frac{-433}{28}\end{matrix}\right.\qquad V=\{(\frac{17}{4},\frac{19}{7})\}\)
9. \(\left\{\begin{matrix}-5y=-27+3x\\3x+y=\frac{147}{5}\end{matrix}\right.\qquad V=\{(10,\frac{-3}{5})\}\)
10. \(\left\{\begin{matrix}-2x-y=\frac{26}{5}\\5x+2y=-9\end{matrix}\right.\qquad V=\{(\frac{7}{5},-8)\}\)
11. \(\left\{\begin{matrix}-3y=\frac{-99}{20}+5x\\x+4y=\frac{47}{20}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{2}{5})\}\)
12. \(\left\{\begin{matrix}-4x+3y=\frac{-149}{21}\\5x+y=\frac{592}{63}\end{matrix}\right.\qquad V=\{(\frac{13}{7},\frac{1}{9})\}\)