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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-2y=\frac{-974}{323}\\4x+y=\frac{-1145}{323}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x-6y=\frac{-54}{5}\\3x=-y+\frac{-11}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+3y=\frac{-93}{44}\\4x+y=\frac{-131}{22}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=\frac{5}{3}-x\\2x+2y=\frac{-43}{6}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+4y=\frac{-19}{2}\\x=6y+\frac{43}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-3y=\frac{-105}{2}\\x-4y=\frac{-137}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+6y=\frac{-116}{19}\\-x+4y=\frac{-331}{57}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-y=\frac{51}{38}\\3x+6y=\frac{117}{19}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-6y=\frac{14}{3}\\-x=y+\frac{1}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=-18-3x\\x+5y=\frac{-5}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=-8-6x\\6x-y=-16\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{91}{12}-3x\\-6x+3y=\frac{23}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-2y=\frac{-974}{323}\\4x+y=\frac{-1145}{323}\end{matrix}\right.\qquad V=\{(\frac{-16}{19},\frac{-3}{17})\}\)
2. \(\left\{\begin{matrix}-6x-6y=\frac{-54}{5}\\3x=-y+\frac{-11}{5}\end{matrix}\right.\qquad V=\{(-2,\frac{19}{5})\}\)
3. \(\left\{\begin{matrix}-2x+3y=\frac{-93}{44}\\4x+y=\frac{-131}{22}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{-16}{11})\}\)
4. \(\left\{\begin{matrix}-6y=\frac{5}{3}-x\\2x+2y=\frac{-43}{6}\end{matrix}\right.\qquad V=\{(\frac{-17}{6},\frac{-3}{4})\}\)
5. \(\left\{\begin{matrix}-2x+4y=\frac{-19}{2}\\x=6y+\frac{43}{4}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{-3}{2})\}\)
6. \(\left\{\begin{matrix}3x-3y=\frac{-105}{2}\\x-4y=\frac{-137}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},17)\}\)
7. \(\left\{\begin{matrix}4x+6y=\frac{-116}{19}\\-x+4y=\frac{-331}{57}\end{matrix}\right.\qquad V=\{(\frac{9}{19},\frac{-4}{3})\}\)
8. \(\left\{\begin{matrix}-3x-y=\frac{51}{38}\\3x+6y=\frac{117}{19}\end{matrix}\right.\qquad V=\{(\frac{-18}{19},\frac{3}{2})\}\)
9. \(\left\{\begin{matrix}2x-6y=\frac{14}{3}\\-x=y+\frac{1}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-2}{3})\}\)
10. \(\left\{\begin{matrix}-6y=-18-3x\\x+5y=\frac{-5}{2}\end{matrix}\right.\qquad V=\{(-5,\frac{1}{2})\}\)
11. \(\left\{\begin{matrix}-3y=-8-6x\\6x-y=-16\end{matrix}\right.\qquad V=\{(\frac{-10}{3},-4)\}\)
12. \(\left\{\begin{matrix}y=\frac{91}{12}-3x\\-6x+3y=\frac{23}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{16}{3})\}\)