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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{39}{5}-5x\\x-3y=\frac{1}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{221}{36}-5x\\4x-3y=\frac{16}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x+4y=\frac{325}{14}\\3x=y+\frac{373}{28}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-6y=\frac{-785}{13}\\-x=-y+\frac{-179}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{-693}{136}+4x\\2x-4y=\frac{-9}{34}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-6y=\frac{46}{5}\\-2x-y=\frac{1}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-3y=\frac{-124}{3}\\x-2y=\frac{-103}{6}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+y=0\\5x+4y=\frac{-135}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{447}{85}+2x\\2x-y=\frac{53}{85}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=-13-6x\\x+2y=-5\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{1082}{187}-4x\\-6x-y=\frac{-1359}{187}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+6y=1\\x=2y+\frac{-11}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{39}{5}-5x\\x-3y=\frac{1}{5}\end{matrix}\right.\qquad V=\{(\frac{7}{5},\frac{2}{5})\}\)
2. \(\left\{\begin{matrix}y=\frac{221}{36}-5x\\4x-3y=\frac{16}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-1}{9})\}\)
3. \(\left\{\begin{matrix}6x+4y=\frac{325}{14}\\3x=y+\frac{373}{28}\end{matrix}\right.\qquad V=\{(\frac{17}{4},\frac{-4}{7})\}\)
4. \(\left\{\begin{matrix}-5x-6y=\frac{-785}{13}\\-x=-y+\frac{-179}{13}\end{matrix}\right.\qquad V=\{(13,\frac{-10}{13})\}\)
5. \(\left\{\begin{matrix}-y=\frac{-693}{136}+4x\\2x-4y=\frac{-9}{34}\end{matrix}\right.\qquad V=\{(\frac{19}{17},\frac{5}{8})\}\)
6. \(\left\{\begin{matrix}-4x-6y=\frac{46}{5}\\-2x-y=\frac{1}{5}\end{matrix}\right.\qquad V=\{(1,\frac{-11}{5})\}\)
7. \(\left\{\begin{matrix}-4x-3y=\frac{-124}{3}\\x-2y=\frac{-103}{6}\end{matrix}\right.\qquad V=\{(\frac{17}{6},10)\}\)
8. \(\left\{\begin{matrix}-x+y=0\\5x+4y=\frac{-135}{13}\end{matrix}\right.\qquad V=\{(\frac{-15}{13},\frac{-15}{13})\}\)
9. \(\left\{\begin{matrix}6y=\frac{447}{85}+2x\\2x-y=\frac{53}{85}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{20}{17})\}\)
10. \(\left\{\begin{matrix}-5y=-13-6x\\x+2y=-5\end{matrix}\right.\qquad V=\{(-3,-1)\}\)
11. \(\left\{\begin{matrix}6y=\frac{1082}{187}-4x\\-6x-y=\frac{-1359}{187}\end{matrix}\right.\qquad V=\{(\frac{13}{11},\frac{3}{17})\}\)
12. \(\left\{\begin{matrix}3x+6y=1\\x=2y+\frac{-11}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},1)\}\)