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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=13+x\\-3x+6y=\frac{33}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-2y=\frac{-302}{19}\\4x-y=\frac{-159}{38}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+6y=-94\\-x=4y+63\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2y=9-4x\\-6x+y=-11\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-4y=\frac{316}{35}\\x=y+\frac{79}{35}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-2y=\frac{6}{5}\\x=-3y+\frac{23}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-2y=\frac{472}{99}\\-6x=y+\frac{1525}{198}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{-91}{18}-2x\\6x-y=\frac{-119}{18}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+5y=\frac{-125}{8}\\x=-6y+\frac{-65}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=-19+4x\\-2x-3y=\frac{107}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{-281}{285}+3x\\-4x+5y=\frac{-460}{57}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+2y=\frac{-727}{144}\\2x=-y+\frac{-139}{72}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=13+x\\-3x+6y=\frac{33}{2}\end{matrix}\right.\qquad V=\{(2,\frac{15}{4})\}\)
2. \(\left\{\begin{matrix}-5x-2y=\frac{-302}{19}\\4x-y=\frac{-159}{38}\end{matrix}\right.\qquad V=\{(\frac{11}{19},\frac{13}{2})\}\)
3. \(\left\{\begin{matrix}2x+6y=-94\\-x=4y+63\end{matrix}\right.\qquad V=\{(1,-16)\}\)
4. \(\left\{\begin{matrix}-2y=9-4x\\-6x+y=-11\end{matrix}\right.\qquad V=\{(\frac{13}{8},\frac{-5}{4})\}\)
5. \(\left\{\begin{matrix}4x-4y=\frac{316}{35}\\x=y+\frac{79}{35}\end{matrix}\right.\qquad V=\{(\frac{17}{5},\frac{8}{7})\}\)
6. \(\left\{\begin{matrix}6x-2y=\frac{6}{5}\\x=-3y+\frac{23}{15}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{2}{5})\}\)
7. \(\left\{\begin{matrix}-3x-2y=\frac{472}{99}\\-6x=y+\frac{1525}{198}\end{matrix}\right.\qquad V=\{(\frac{-13}{11},\frac{-11}{18})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{-91}{18}-2x\\6x-y=\frac{-119}{18}\end{matrix}\right.\qquad V=\{(-1,\frac{11}{18})\}\)
9. \(\left\{\begin{matrix}5x+5y=\frac{-125}{8}\\x=-6y+\frac{-65}{8}\end{matrix}\right.\qquad V=\{(\frac{-17}{8},-1)\}\)
10. \(\left\{\begin{matrix}y=-19+4x\\-2x-3y=\frac{107}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{4},-18)\}\)
11. \(\left\{\begin{matrix}-y=\frac{-281}{285}+3x\\-4x+5y=\frac{-460}{57}\end{matrix}\right.\qquad V=\{(\frac{13}{19},\frac{-16}{15})\}\)
12. \(\left\{\begin{matrix}5x+2y=\frac{-727}{144}\\2x=-y+\frac{-139}{72}\end{matrix}\right.\qquad V=\{(\frac{-19}{16},\frac{4}{9})\}\)