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Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{4}{3}-2x\\-2x-5y=\frac{20}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+3y=\frac{44}{5}\\3x+y=\frac{-32}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{468}{19}+4x\\4x-2y=\frac{-480}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-6y=\frac{-155}{24}\\-3x=3y+\frac{-205}{24}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+2y=14\\x=-3y+\frac{23}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+y=\frac{1}{8}\\4x-3y=\frac{-17}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x+4y=\frac{-1435}{323}\\3x=y+\frac{329}{323}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+y=\frac{381}{323}\\-4x-4y=\frac{300}{323}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-6y=\frac{-3}{5}\\-6x=y+\frac{15}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{-140}{221}-4x\\-6x-5y=\frac{-1142}{221}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{-88}{17}-3x\\-5x-y=\frac{143}{51}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-y=\frac{72}{35}\\-2x=-2y+\frac{-18}{35}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{4}{3}-2x\\-2x-5y=\frac{20}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{3},-2)\}\)
2. \(\left\{\begin{matrix}-5x+3y=\frac{44}{5}\\3x+y=\frac{-32}{5}\end{matrix}\right.\qquad V=\{(-2,\frac{-2}{5})\}\)
3. \(\left\{\begin{matrix}y=\frac{468}{19}+4x\\4x-2y=\frac{-480}{19}\end{matrix}\right.\qquad V=\{(-6,\frac{12}{19})\}\)
4. \(\left\{\begin{matrix}-x-6y=\frac{-155}{24}\\-3x=3y+\frac{-205}{24}\end{matrix}\right.\qquad V=\{(\frac{17}{8},\frac{13}{18})\}\)
5. \(\left\{\begin{matrix}6x+2y=14\\x=-3y+\frac{23}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{3},2)\}\)
6. \(\left\{\begin{matrix}3x+y=\frac{1}{8}\\4x-3y=\frac{-17}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},2)\}\)
7. \(\left\{\begin{matrix}-5x+4y=\frac{-1435}{323}\\3x=y+\frac{329}{323}\end{matrix}\right.\qquad V=\{(\frac{-1}{19},\frac{-20}{17})\}\)
8. \(\left\{\begin{matrix}-x+y=\frac{381}{323}\\-4x-4y=\frac{300}{323}\end{matrix}\right.\qquad V=\{(\frac{-12}{17},\frac{9}{19})\}\)
9. \(\left\{\begin{matrix}-3x-6y=\frac{-3}{5}\\-6x=y+\frac{15}{4}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{9}{20})\}\)
10. \(\left\{\begin{matrix}-y=\frac{-140}{221}-4x\\-6x-5y=\frac{-1142}{221}\end{matrix}\right.\qquad V=\{(\frac{1}{13},\frac{16}{17})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{-88}{17}-3x\\-5x-y=\frac{143}{51}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{9}{17})\}\)
12. \(\left\{\begin{matrix}3x-y=\frac{72}{35}\\-2x=-2y+\frac{-18}{35}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{9}{14})\}\)