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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{46}{5}+4x\\-5x+y=22\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-2y=\frac{17}{6}\\-x=-y+\frac{5}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{4}{15}-x\\-2x-4y=\frac{16}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-5y=\frac{493}{8}\\-x=-y+\frac{-95}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{27}{16}+3x\\x+5y=\frac{-61}{16}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{-1163}{220}-4x\\x-y=\frac{-79}{220}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-3y=\frac{-36}{17}\\-4x=y+\frac{-33}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{-863}{99}+5x\\x-4y=\frac{259}{99}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+3y=24\\4x-y=-4\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{1366}{153}+4x\\-5x-y=\frac{254}{153}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{-2680}{247}-4x\\3x+y=\frac{-965}{247}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{-137}{15}+x\\5x+4y=\frac{532}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{46}{5}+4x\\-5x+y=22\end{matrix}\right.\qquad V=\{(\frac{-19}{5},3)\}\)
2. \(\left\{\begin{matrix}3x-2y=\frac{17}{6}\\-x=-y+\frac{5}{6}\end{matrix}\right.\qquad V=\{(\frac{9}{2},\frac{16}{3})\}\)
3. \(\left\{\begin{matrix}4y=\frac{4}{15}-x\\-2x-4y=\frac{16}{15}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{2}{5})\}\)
4. \(\left\{\begin{matrix}3x-5y=\frac{493}{8}\\-x=-y+\frac{-95}{8}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},-13)\}\)
5. \(\left\{\begin{matrix}-3y=\frac{27}{16}+3x\\x+5y=\frac{-61}{16}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-13}{16})\}\)
6. \(\left\{\begin{matrix}3y=\frac{-1163}{220}-4x\\x-y=\frac{-79}{220}\end{matrix}\right.\qquad V=\{(\frac{-10}{11},\frac{-11}{20})\}\)
7. \(\left\{\begin{matrix}-5x-3y=\frac{-36}{17}\\-4x=y+\frac{-33}{17}\end{matrix}\right.\qquad V=\{(\frac{9}{17},\frac{-3}{17})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{-863}{99}+5x\\x-4y=\frac{259}{99}\end{matrix}\right.\qquad V=\{(\frac{17}{9},\frac{-2}{11})\}\)
9. \(\left\{\begin{matrix}6x+3y=24\\4x-y=-4\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{20}{3})\}\)
10. \(\left\{\begin{matrix}6y=\frac{1366}{153}+4x\\-5x-y=\frac{254}{153}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},\frac{19}{17})\}\)
11. \(\left\{\begin{matrix}5y=\frac{-2680}{247}-4x\\3x+y=\frac{-965}{247}\end{matrix}\right.\qquad V=\{(\frac{-15}{19},\frac{-20}{13})\}\)
12. \(\left\{\begin{matrix}y=\frac{-137}{15}+x\\5x+4y=\frac{532}{15}\end{matrix}\right.\qquad V=\{(8,\frac{-17}{15})\}\)