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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{52}{7}+4x\\3x-y=\frac{17}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{113}{2}+5x\\-2x+y=-8\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-2y=\frac{-10}{3}\\3x-y=\frac{-41}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{115}{26}+2x\\-x-y=\frac{-55}{52}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+y=\frac{13}{9}\\5x=-2y+\frac{7}{18}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-y=-19\\-5x=4y+\frac{-19}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-y=\frac{17}{8}\\-5x-3y=\frac{71}{8}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x-3y=\frac{97}{7}\\4x-y=\frac{496}{21}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-y=\frac{-43}{20}\\-4x=-5y+\frac{-15}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=\frac{544}{55}-2x\\2x-y=\frac{144}{55}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+5y=\frac{97}{16}\\-2x+4y=\frac{15}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-3y=\frac{91}{4}\\4x+y=\frac{-1}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{52}{7}+4x\\3x-y=\frac{17}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{7},-2)\}\)
2. \(\left\{\begin{matrix}-2y=\frac{113}{2}+5x\\-2x+y=-8\end{matrix}\right.\qquad V=\{(\frac{-9}{2},-17)\}\)
3. \(\left\{\begin{matrix}4x-2y=\frac{-10}{3}\\3x-y=\frac{-41}{15}\end{matrix}\right.\qquad V=\{(\frac{-16}{15},\frac{-7}{15})\}\)
4. \(\left\{\begin{matrix}3y=\frac{115}{26}+2x\\-x-y=\frac{-55}{52}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{17}{13})\}\)
5. \(\left\{\begin{matrix}4x+y=\frac{13}{9}\\5x=-2y+\frac{7}{18}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{-17}{9})\}\)
6. \(\left\{\begin{matrix}-6x-y=-19\\-5x=4y+\frac{-19}{3}\end{matrix}\right.\qquad V=\{(\frac{11}{3},-3)\}\)
7. \(\left\{\begin{matrix}-3x-y=\frac{17}{8}\\-5x-3y=\frac{71}{8}\end{matrix}\right.\qquad V=\{(\frac{5}{8},-4)\}\)
8. \(\left\{\begin{matrix}3x-3y=\frac{97}{7}\\4x-y=\frac{496}{21}\end{matrix}\right.\qquad V=\{(\frac{19}{3},\frac{12}{7})\}\)
9. \(\left\{\begin{matrix}-5x-y=\frac{-43}{20}\\-4x=-5y+\frac{-15}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-7}{20})\}\)
10. \(\left\{\begin{matrix}-5y=\frac{544}{55}-2x\\2x-y=\frac{144}{55}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-20}{11})\}\)
11. \(\left\{\begin{matrix}x+5y=\frac{97}{16}\\-2x+4y=\frac{15}{8}\end{matrix}\right.\qquad V=\{(\frac{17}{16},1)\}\)
12. \(\left\{\begin{matrix}5x-3y=\frac{91}{4}\\4x+y=\frac{-1}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-11}{2})\}\)