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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+3y=\frac{21}{2}\\6x-5y=-29\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+5y=\frac{-25}{24}\\-2x-y=\frac{43}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x-y=-2\\-4x=-5y+\frac{-82}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{-32}{13}+2x\\-x-6y=\frac{-95}{26}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+5y=\frac{86}{3}\\-x=6y+\frac{-109}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-y=\frac{165}{14}\\5x-6y=\frac{131}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+3y=\frac{51}{38}\\x=3y+\frac{21}{38}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{-63}{44}+2x\\-5x-y=\frac{-513}{88}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+2y=28\\x=-6y+\frac{184}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x+4y=\frac{-207}{19}\\x=y+\frac{-297}{95}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{48}{13}+4x\\x+y=\frac{-12}{13}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+3y=\frac{-173}{240}\\2x+5y=\frac{181}{240}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+3y=\frac{21}{2}\\6x-5y=-29\end{matrix}\right.\qquad V=\{(\frac{-3}{2},4)\}\)
2. \(\left\{\begin{matrix}-5x+5y=\frac{-25}{24}\\-2x-y=\frac{43}{12}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{-4}{3})\}\)
3. \(\left\{\begin{matrix}-5x-y=-2\\-4x=-5y+\frac{-82}{15}\end{matrix}\right.\qquad V=\{(\frac{8}{15},\frac{-2}{3})\}\)
4. \(\left\{\begin{matrix}-5y=\frac{-32}{13}+2x\\-x-6y=\frac{-95}{26}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{9}{13})\}\)
5. \(\left\{\begin{matrix}-4x+5y=\frac{86}{3}\\-x=6y+\frac{-109}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{3},6)\}\)
6. \(\left\{\begin{matrix}3x-y=\frac{165}{14}\\5x-6y=\frac{131}{7}\end{matrix}\right.\qquad V=\{(4,\frac{3}{14})\}\)
7. \(\left\{\begin{matrix}-3x+3y=\frac{51}{38}\\x=3y+\frac{21}{38}\end{matrix}\right.\qquad V=\{(\frac{-18}{19},\frac{-1}{2})\}\)
8. \(\left\{\begin{matrix}2y=\frac{-63}{44}+2x\\-5x-y=\frac{-513}{88}\end{matrix}\right.\qquad V=\{(\frac{12}{11},\frac{3}{8})\}\)
9. \(\left\{\begin{matrix}6x+2y=28\\x=-6y+\frac{184}{3}\end{matrix}\right.\qquad V=\{(\frac{4}{3},10)\}\)
10. \(\left\{\begin{matrix}5x+4y=\frac{-207}{19}\\x=y+\frac{-297}{95}\end{matrix}\right.\qquad V=\{(\frac{-13}{5},\frac{10}{19})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{48}{13}+4x\\x+y=\frac{-12}{13}\end{matrix}\right.\qquad V=\{(\frac{14}{13},-2)\}\)
12. \(\left\{\begin{matrix}-x+3y=\frac{-173}{240}\\2x+5y=\frac{181}{240}\end{matrix}\right.\qquad V=\{(\frac{8}{15},\frac{-1}{16})\}\)