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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-4y=\frac{-404}{187}\\x-6y=\frac{1094}{187}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-y=\frac{17}{7}\\-3x=4y+\frac{137}{14}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-2y=\frac{4}{15}\\3x+y=\frac{-9}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-5y=\frac{33}{5}\\-4x=3y+\frac{47}{20}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-6y=50\\x+4y=\frac{-47}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+y=\frac{-15}{4}\\-6x=-4y+-1\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+6y=\frac{-197}{7}\\x=y+\frac{111}{14}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+2y=7\\-x=6y+\frac{-31}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-4y=\frac{928}{209}\\5x+y=\frac{1250}{209}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{70}{3}-6x\\5x+y=\frac{55}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+3y=\frac{-506}{17}\\x=6y+\frac{1018}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{-1}{4}+3x\\-4x+y=4\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-4y=\frac{-404}{187}\\x-6y=\frac{1094}{187}\end{matrix}\right.\qquad V=\{(\frac{10}{11},\frac{-14}{17})\}\)
2. \(\left\{\begin{matrix}-x-y=\frac{17}{7}\\-3x=4y+\frac{137}{14}\end{matrix}\right.\qquad V=\{(\frac{1}{14},\frac{-5}{2})\}\)
3. \(\left\{\begin{matrix}4x-2y=\frac{4}{15}\\3x+y=\frac{-9}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-4}{5})\}\)
4. \(\left\{\begin{matrix}x-5y=\frac{33}{5}\\-4x=3y+\frac{47}{20}\end{matrix}\right.\qquad V=\{(\frac{7}{20},\frac{-5}{4})\}\)
5. \(\left\{\begin{matrix}-6x-6y=50\\x+4y=\frac{-47}{6}\end{matrix}\right.\qquad V=\{(\frac{-17}{2},\frac{1}{6})\}\)
6. \(\left\{\begin{matrix}2x+y=\frac{-15}{4}\\-6x=-4y+-1\end{matrix}\right.\qquad V=\{(-1,\frac{-7}{4})\}\)
7. \(\left\{\begin{matrix}2x+6y=\frac{-197}{7}\\x=y+\frac{111}{14}\end{matrix}\right.\qquad V=\{(\frac{17}{7},\frac{-11}{2})\}\)
8. \(\left\{\begin{matrix}-6x+2y=7\\-x=6y+\frac{-31}{6}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},1)\}\)
9. \(\left\{\begin{matrix}6x-4y=\frac{928}{209}\\5x+y=\frac{1250}{209}\end{matrix}\right.\qquad V=\{(\frac{12}{11},\frac{10}{19})\}\)
10. \(\left\{\begin{matrix}2y=\frac{70}{3}-6x\\5x+y=\frac{55}{3}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{5}{3})\}\)
11. \(\left\{\begin{matrix}-2x+3y=\frac{-506}{17}\\x=6y+\frac{1018}{17}\end{matrix}\right.\qquad V=\{(\frac{-2}{17},-10)\}\)
12. \(\left\{\begin{matrix}4y=\frac{-1}{4}+3x\\-4x+y=4\end{matrix}\right.\qquad V=\{(\frac{-5}{4},-1)\}\)