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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+3y=\frac{-1099}{38}\\-3x=4y+\frac{746}{19}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-y=\frac{1}{40}\\-2x-6y=\frac{-173}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{-14}{9}-2x\\-5x-y=\frac{-19}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=\frac{-363}{16}-3x\\-x-3y=\frac{-199}{16}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+2y=\frac{41}{24}\\5x+5y=\frac{-55}{24}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+3y=\frac{-14}{11}\\-6x+y=\frac{118}{11}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=14+5x\\-6x+y=\frac{33}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-6y=\frac{2}{3}\\-x=-6y+\frac{-112}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+5y=\frac{103}{2}\\x-y=-11\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+5y=\frac{-482}{45}\\-6x-3y=\frac{136}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-2y=\frac{-292}{5}\\x-6y=\frac{-26}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+4y=\frac{50}{33}\\x-5y=\frac{20}{33}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+3y=\frac{-1099}{38}\\-3x=4y+\frac{746}{19}\end{matrix}\right.\qquad V=\{(\frac{-8}{19},\frac{-19}{2})\}\)
2. \(\left\{\begin{matrix}-3x-y=\frac{1}{40}\\-2x-6y=\frac{-173}{20}\end{matrix}\right.\qquad V=\{(\frac{-11}{20},\frac{13}{8})\}\)
3. \(\left\{\begin{matrix}-2y=\frac{-14}{9}-2x\\-5x-y=\frac{-19}{9}\end{matrix}\right.\qquad V=\{(\frac{2}{9},1)\}\)
4. \(\left\{\begin{matrix}-6y=\frac{-363}{16}-3x\\-x-3y=\frac{-199}{16}\end{matrix}\right.\qquad V=\{(\frac{7}{16},4)\}\)
5. \(\left\{\begin{matrix}-x+2y=\frac{41}{24}\\5x+5y=\frac{-55}{24}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{5}{12})\}\)
6. \(\left\{\begin{matrix}5x+3y=\frac{-14}{11}\\-6x+y=\frac{118}{11}\end{matrix}\right.\qquad V=\{(\frac{-16}{11},2)\}\)
7. \(\left\{\begin{matrix}4y=14+5x\\-6x+y=\frac{33}{4}\end{matrix}\right.\qquad V=\{(-1,\frac{9}{4})\}\)
8. \(\left\{\begin{matrix}-5x-6y=\frac{2}{3}\\-x=-6y+\frac{-112}{15}\end{matrix}\right.\qquad V=\{(\frac{17}{15},\frac{-19}{18})\}\)
9. \(\left\{\begin{matrix}-4x+5y=\frac{103}{2}\\x-y=-11\end{matrix}\right.\qquad V=\{(\frac{-7}{2},\frac{15}{2})\}\)
10. \(\left\{\begin{matrix}-x+5y=\frac{-482}{45}\\-6x-3y=\frac{136}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-20}{9})\}\)
11. \(\left\{\begin{matrix}6x-2y=\frac{-292}{5}\\x-6y=\frac{-26}{5}\end{matrix}\right.\qquad V=\{(-10,\frac{-4}{5})\}\)
12. \(\left\{\begin{matrix}-2x+4y=\frac{50}{33}\\x-5y=\frac{20}{33}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-5}{11})\}\)