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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=-6-4x\\x+y=\frac{31}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-2y=\frac{-92}{17}\\3x+y=\frac{264}{85}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{-25}{48}+x\\-5x+2y=\frac{-49}{24}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-y=\frac{-29}{4}\\5x+5y=\frac{-115}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x+3y=\frac{23}{3}\\5x=-6y+\frac{127}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-5y=\frac{-212}{21}\\-x=6y+\frac{-52}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+y=\frac{-335}{14}\\-3x=5y+\frac{331}{14}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+4y=\frac{63}{10}\\-6x-6y=\frac{-81}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-y=\frac{1610}{19}\\-5x+5y=\frac{1640}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{15}{4}+x\\-6x+5y=\frac{115}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x-6y=\frac{-1}{6}\\3x-3y=\frac{-61}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+4y=\frac{336}{187}\\-x+y=\frac{-392}{187}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=-6-4x\\x+y=\frac{31}{11}\end{matrix}\right.\qquad V=\{(\frac{12}{11},\frac{19}{11})\}\)
2. \(\left\{\begin{matrix}-5x-2y=\frac{-92}{17}\\3x+y=\frac{264}{85}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{12}{17})\}\)
3. \(\left\{\begin{matrix}y=\frac{-25}{48}+x\\-5x+2y=\frac{-49}{24}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-3}{16})\}\)
4. \(\left\{\begin{matrix}x-y=\frac{-29}{4}\\5x+5y=\frac{-115}{4}\end{matrix}\right.\qquad V=\{(\frac{-13}{2},\frac{3}{4})\}\)
5. \(\left\{\begin{matrix}x+3y=\frac{23}{3}\\5x=-6y+\frac{127}{3}\end{matrix}\right.\qquad V=\{(9,\frac{-4}{9})\}\)
6. \(\left\{\begin{matrix}6x-5y=\frac{-212}{21}\\-x=6y+\frac{-52}{7}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{4}{3})\}\)
7. \(\left\{\begin{matrix}3x+y=\frac{-335}{14}\\-3x=5y+\frac{331}{14}\end{matrix}\right.\qquad V=\{(-8,\frac{1}{14})\}\)
8. \(\left\{\begin{matrix}-x+4y=\frac{63}{10}\\-6x-6y=\frac{-81}{5}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{9}{5})\}\)
9. \(\left\{\begin{matrix}-5x-y=\frac{1610}{19}\\-5x+5y=\frac{1640}{19}\end{matrix}\right.\qquad V=\{(-17,\frac{5}{19})\}\)
10. \(\left\{\begin{matrix}6y=\frac{15}{4}+x\\-6x+5y=\frac{115}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{5}{12})\}\)
11. \(\left\{\begin{matrix}-x-6y=\frac{-1}{6}\\3x-3y=\frac{-61}{4}\end{matrix}\right.\qquad V=\{(\frac{-13}{3},\frac{3}{4})\}\)
12. \(\left\{\begin{matrix}4x+4y=\frac{336}{187}\\-x+y=\frac{-392}{187}\end{matrix}\right.\qquad V=\{(\frac{14}{11},\frac{-14}{17})\}\)