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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+2y=\frac{73}{17}\\x=-3y+\frac{23}{34}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+5y=\frac{95}{143}\\-x=5y+\frac{35}{143}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{122}{15}+2x\\-6x+y=\frac{328}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-6y=\frac{-124}{15}\\4x-y=\frac{-34}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-4y=\frac{-491}{18}\\-2x=3y+\frac{-202}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-3y=\frac{-1}{28}\\4x-y=\frac{-10}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=\frac{-397}{24}-5x\\-3x-y=\frac{99}{16}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+3y=\frac{-182}{19}\\-x=2y+\frac{93}{19}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{29}{4}-5x\\-x+6y=\frac{-11}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-y=\frac{-24}{65}\\3x+2y=\frac{87}{65}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x+4y=80\\-6x+y=13\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{113}{28}-3x\\6x-y=\frac{437}{140}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+2y=\frac{73}{17}\\x=-3y+\frac{23}{34}\end{matrix}\right.\qquad V=\{(\frac{-14}{17},\frac{1}{2})\}\)
2. \(\left\{\begin{matrix}2x+5y=\frac{95}{143}\\-x=5y+\frac{35}{143}\end{matrix}\right.\qquad V=\{(\frac{10}{11},\frac{-3}{13})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{122}{15}+2x\\-6x+y=\frac{328}{15}\end{matrix}\right.\qquad V=\{(\frac{-11}{3},\frac{-2}{15})\}\)
4. \(\left\{\begin{matrix}4x-6y=\frac{-124}{15}\\4x-y=\frac{-34}{15}\end{matrix}\right.\qquad V=\{(\frac{-4}{15},\frac{6}{5})\}\)
5. \(\left\{\begin{matrix}x-4y=\frac{-491}{18}\\-2x=3y+\frac{-202}{9}\end{matrix}\right.\qquad V=\{(\frac{13}{18},7)\}\)
6. \(\left\{\begin{matrix}-5x-3y=\frac{-1}{28}\\4x-y=\frac{-10}{7}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{3}{7})\}\)
7. \(\left\{\begin{matrix}-6y=\frac{-397}{24}-5x\\-3x-y=\frac{99}{16}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{13}{16})\}\)
8. \(\left\{\begin{matrix}4x+3y=\frac{-182}{19}\\-x=2y+\frac{93}{19}\end{matrix}\right.\qquad V=\{(\frac{-17}{19},-2)\}\)
9. \(\left\{\begin{matrix}-4y=\frac{29}{4}-5x\\-x+6y=\frac{-11}{4}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-1}{4})\}\)
10. \(\left\{\begin{matrix}-x-y=\frac{-24}{65}\\3x+2y=\frac{87}{65}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{-3}{13})\}\)
11. \(\left\{\begin{matrix}4x+4y=80\\-6x+y=13\end{matrix}\right.\qquad V=\{(1,19)\}\)
12. \(\left\{\begin{matrix}-5y=\frac{113}{28}-3x\\6x-y=\frac{437}{140}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{-11}{20})\}\)