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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x+4y=\frac{64}{15}\\x=-6y+\frac{106}{15}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{187}{15}-3x\\x+6y=\frac{-101}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x-4y=\frac{-1}{4}\\-3x=-y+\frac{61}{16}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{14}{15}-3x\\2x+5y=\frac{-23}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-3y=\frac{286}{133}\\x-2y=\frac{159}{133}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x+5y=\frac{-678}{55}\\-5x+y=\frac{-94}{11}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{-250}{57}+6x\\-2x-y=\frac{170}{57}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{423}{10}-x\\-5x+6y=\frac{-87}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-y=\frac{73}{8}\\-3x=-3y+\frac{69}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-5y=\frac{-150}{17}\\x+y=\frac{24}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-y=\frac{-47}{91}\\5x=-5y+\frac{-885}{91}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-5y=12\\-3x=5y+-4\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x+4y=\frac{64}{15}\\x=-6y+\frac{106}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{15},\frac{6}{5})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{187}{15}-3x\\x+6y=\frac{-101}{15}\end{matrix}\right.\qquad V=\{(\frac{13}{5},\frac{-14}{9})\}\)
3. \(\left\{\begin{matrix}-3x-4y=\frac{-1}{4}\\-3x=-y+\frac{61}{16}\end{matrix}\right.\qquad V=\{(-1,\frac{13}{16})\}\)
4. \(\left\{\begin{matrix}y=\frac{14}{15}-3x\\2x+5y=\frac{-23}{9}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{-11}{15})\}\)
5. \(\left\{\begin{matrix}4x-3y=\frac{286}{133}\\x-2y=\frac{159}{133}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{-10}{19})\}\)
6. \(\left\{\begin{matrix}-6x+5y=\frac{-678}{55}\\-5x+y=\frac{-94}{11}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{-6}{11})\}\)
7. \(\left\{\begin{matrix}2y=\frac{-250}{57}+6x\\-2x-y=\frac{170}{57}\end{matrix}\right.\qquad V=\{(\frac{-3}{19},\frac{-8}{3})\}\)
8. \(\left\{\begin{matrix}-6y=\frac{423}{10}-x\\-5x+6y=\frac{-87}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{10},-7)\}\)
9. \(\left\{\begin{matrix}-2x-y=\frac{73}{8}\\-3x=-3y+\frac{69}{8}\end{matrix}\right.\qquad V=\{(-4,\frac{-9}{8})\}\)
10. \(\left\{\begin{matrix}-2x-5y=\frac{-150}{17}\\x+y=\frac{24}{17}\end{matrix}\right.\qquad V=\{(\frac{-10}{17},2)\}\)
11. \(\left\{\begin{matrix}x-y=\frac{-47}{91}\\5x=-5y+\frac{-885}{91}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},\frac{-5}{7})\}\)
12. \(\left\{\begin{matrix}x-5y=12\\-3x=5y+-4\end{matrix}\right.\qquad V=\{(4,\frac{-8}{5})\}\)