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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-y=\frac{-119}{22}\\-4x-5y=\frac{89}{22}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{-1}{22}-x\\-3x+4y=\frac{41}{22}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{-176}{85}+4x\\-x+5y=\frac{-36}{17}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+4y=\frac{-21}{2}\\3x-3y=21\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-2y=\frac{5}{21}\\-x=-y+\frac{-5}{42}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=\frac{-1518}{17}-6x\\x-5y=\frac{-148}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{61}{6}-2x\\5x-6y=\frac{38}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{23}{3}+6x\\x+6y=\frac{-95}{18}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{-20}{3}+4x\\x+5y=\frac{29}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-3x-3y=-3\\-x-5y=3\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=2-x\\3x-3y=6\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+y=\frac{33}{7}\\-4x+6y=\frac{100}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-y=\frac{-119}{22}\\-4x-5y=\frac{89}{22}\end{matrix}\right.\qquad V=\{(\frac{-18}{11},\frac{1}{2})\}\)
2. \(\left\{\begin{matrix}5y=\frac{-1}{22}-x\\-3x+4y=\frac{41}{22}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{1}{11})\}\)
3. \(\left\{\begin{matrix}4y=\frac{-176}{85}+4x\\-x+5y=\frac{-36}{17}\end{matrix}\right.\qquad V=\{(\frac{2}{17},\frac{-2}{5})\}\)
4. \(\left\{\begin{matrix}x+4y=\frac{-21}{2}\\3x-3y=21\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{-7}{2})\}\)
5. \(\left\{\begin{matrix}2x-2y=\frac{5}{21}\\-x=-y+\frac{-5}{42}\end{matrix}\right.\qquad V=\{(\frac{-17}{14},\frac{-4}{3})\}\)
6. \(\left\{\begin{matrix}5y=\frac{-1518}{17}-6x\\x-5y=\frac{-148}{17}\end{matrix}\right.\qquad V=\{(-14,\frac{-18}{17})\}\)
7. \(\left\{\begin{matrix}y=\frac{61}{6}-2x\\5x-6y=\frac{38}{3}\end{matrix}\right.\qquad V=\{(\frac{13}{3},\frac{3}{2})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{23}{3}+6x\\x+6y=\frac{-95}{18}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},\frac{-3}{4})\}\)
9. \(\left\{\begin{matrix}-4y=\frac{-20}{3}+4x\\x+5y=\frac{29}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},2)\}\)
10. \(\left\{\begin{matrix}-3x-3y=-3\\-x-5y=3\end{matrix}\right.\qquad V=\{(2,-1)\}\)
11. \(\left\{\begin{matrix}-y=2-x\\3x-3y=6\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-5}{2})\}\)
12. \(\left\{\begin{matrix}-3x+y=\frac{33}{7}\\-4x+6y=\frac{100}{7}\end{matrix}\right.\qquad V=\{(-1,\frac{12}{7})\}\)