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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+2y=\frac{179}{68}\\-x=6y+\frac{-367}{68}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-3y=\frac{-213}{8}\\5x=-y+\frac{-361}{8}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{72}{35}-4x\\-4x+y=\frac{-342}{35}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-5y=\frac{-71}{5}\\-6x+y=\frac{-101}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x+4y=\frac{-717}{187}\\3x+2y=\frac{-111}{187}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{-19}{14}+4x\\2x-4y=\frac{52}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-y=\frac{8}{3}\\3x+5y=\frac{56}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{6}{5}-x\\-4x+3y=\frac{46}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-3y=\frac{41}{7}\\6x+y=\frac{-51}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-2y=-5\\-2x+y=-8\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-2y=\frac{523}{34}\\4x=-y+\frac{290}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+2y=4\\-x=-3y+\frac{29}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+2y=\frac{179}{68}\\-x=6y+\frac{-367}{68}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{16}{17})\}\)
2. \(\left\{\begin{matrix}3x-3y=\frac{-213}{8}\\5x=-y+\frac{-361}{8}\end{matrix}\right.\qquad V=\{(-9,\frac{-1}{8})\}\)
3. \(\left\{\begin{matrix}2y=\frac{72}{35}-4x\\-4x+y=\frac{-342}{35}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{-18}{7})\}\)
4. \(\left\{\begin{matrix}-6x-5y=\frac{-71}{5}\\-6x+y=\frac{-101}{5}\end{matrix}\right.\qquad V=\{(\frac{16}{5},-1)\}\)
5. \(\left\{\begin{matrix}x+4y=\frac{-717}{187}\\3x+2y=\frac{-111}{187}\end{matrix}\right.\qquad V=\{(\frac{9}{17},\frac{-12}{11})\}\)
6. \(\left\{\begin{matrix}-y=\frac{-19}{14}+4x\\2x-4y=\frac{52}{7}\end{matrix}\right.\qquad V=\{(\frac{5}{7},\frac{-3}{2})\}\)
7. \(\left\{\begin{matrix}x-y=\frac{8}{3}\\3x+5y=\frac{56}{3}\end{matrix}\right.\qquad V=\{(4,\frac{4}{3})\}\)
8. \(\left\{\begin{matrix}y=\frac{6}{5}-x\\-4x+3y=\frac{46}{5}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},2)\}\)
9. \(\left\{\begin{matrix}-2x-3y=\frac{41}{7}\\6x+y=\frac{-51}{7}\end{matrix}\right.\qquad V=\{(-1,\frac{-9}{7})\}\)
10. \(\left\{\begin{matrix}-3x-2y=-5\\-2x+y=-8\end{matrix}\right.\qquad V=\{(3,-2)\}\)
11. \(\left\{\begin{matrix}3x-2y=\frac{523}{34}\\4x=-y+\frac{290}{17}\end{matrix}\right.\qquad V=\{(\frac{9}{2},\frac{-16}{17})\}\)
12. \(\left\{\begin{matrix}-4x+2y=4\\-x=-3y+\frac{29}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{5}{2})\}\)