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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-4y=\frac{34}{3}\\x+y=\frac{37}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+5y=\frac{-107}{15}\\x=4y+\frac{13}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x+6y=\frac{67}{22}\\x+2y=\frac{211}{132}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{828}{11}+3x\\-x+2y=\frac{331}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x-5y=\frac{79}{10}\\6x-6y=\frac{33}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{5}{56}+5x\\x-y=\frac{97}{56}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+2y=\frac{-673}{40}\\-6x-y=\frac{1889}{80}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4y=\frac{-202}{51}+2x\\2x-y=\frac{229}{51}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x-6y=33\\-x=2y+13\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{-549}{76}-2x\\5x+y=\frac{-1513}{152}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-y=1\\-6x=-3y+\frac{-39}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+y=\frac{328}{13}\\6x+4y=\frac{532}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-4y=\frac{34}{3}\\x+y=\frac{37}{6}\end{matrix}\right.\qquad V=\{(6,\frac{1}{6})\}\)
2. \(\left\{\begin{matrix}-4x+5y=\frac{-107}{15}\\x=4y+\frac{13}{15}\end{matrix}\right.\qquad V=\{(\frac{11}{5},\frac{1}{3})\}\)
3. \(\left\{\begin{matrix}6x+6y=\frac{67}{22}\\x+2y=\frac{211}{132}\end{matrix}\right.\qquad V=\{(\frac{-7}{12},\frac{12}{11})\}\)
4. \(\left\{\begin{matrix}5y=\frac{828}{11}+3x\\-x+2y=\frac{331}{11}\end{matrix}\right.\qquad V=\{(\frac{-1}{11},15)\}\)
5. \(\left\{\begin{matrix}-x-5y=\frac{79}{10}\\6x-6y=\frac{33}{5}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-3}{2})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{5}{56}+5x\\x-y=\frac{97}{56}\end{matrix}\right.\qquad V=\{(\frac{6}{7},\frac{-7}{8})\}\)
7. \(\left\{\begin{matrix}4x+2y=\frac{-673}{40}\\-6x-y=\frac{1889}{80}\end{matrix}\right.\qquad V=\{(\frac{-19}{5},\frac{-13}{16})\}\)
8. \(\left\{\begin{matrix}4y=\frac{-202}{51}+2x\\2x-y=\frac{229}{51}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{3}{17})\}\)
9. \(\left\{\begin{matrix}3x-6y=33\\-x=2y+13\end{matrix}\right.\qquad V=\{(-1,-6)\}\)
10. \(\left\{\begin{matrix}6y=\frac{-549}{76}-2x\\5x+y=\frac{-1513}{152}\end{matrix}\right.\qquad V=\{(\frac{-15}{8},\frac{-11}{19})\}\)
11. \(\left\{\begin{matrix}x-y=1\\-6x=-3y+\frac{-39}{4}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{5}{4})\}\)
12. \(\left\{\begin{matrix}4x+y=\frac{328}{13}\\6x+4y=\frac{532}{13}\end{matrix}\right.\qquad V=\{(6,\frac{16}{13})\}\)