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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x+6y=-6\\x-4y=\frac{-13}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+y=\frac{23}{20}\\4x=-4y+-1\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+5y=\frac{-151}{14}\\-x-2y=\frac{37}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x+6y=\frac{-433}{68}\\-2x-y=\frac{275}{136}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x-5y=\frac{215}{14}\\2x=-y+\frac{-325}{42}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5y=\frac{-503}{209}+4x\\x-3y=\frac{222}{209}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+4y=\frac{40}{11}\\-3x=y+\frac{215}{44}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x-6y=\frac{288}{91}\\-2x=-y+\frac{-282}{91}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-y=\frac{31}{10}\\-3x=-4y+\frac{-6}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+5y=\frac{-65}{17}\\-6x-5y=\frac{-530}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-5y=\frac{-633}{40}\\-2x-y=\frac{91}{40}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+6y=\frac{-174}{13}\\3x=y+\frac{149}{26}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x+6y=-6\\x-4y=\frac{-13}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{1}{5})\}\)
2. \(\left\{\begin{matrix}-x+y=\frac{23}{20}\\4x=-4y+-1\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{9}{20})\}\)
3. \(\left\{\begin{matrix}-6x+5y=\frac{-151}{14}\\-x-2y=\frac{37}{7}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{-5}{2})\}\)
4. \(\left\{\begin{matrix}5x+6y=\frac{-433}{68}\\-2x-y=\frac{275}{136}\end{matrix}\right.\qquad V=\{(\frac{-14}{17},\frac{-3}{8})\}\)
5. \(\left\{\begin{matrix}-3x-5y=\frac{215}{14}\\2x=-y+\frac{-325}{42}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-15}{14})\}\)
6. \(\left\{\begin{matrix}5y=\frac{-503}{209}+4x\\x-3y=\frac{222}{209}\end{matrix}\right.\qquad V=\{(\frac{3}{11},\frac{-5}{19})\}\)
7. \(\left\{\begin{matrix}-3x+4y=\frac{40}{11}\\-3x=y+\frac{215}{44}\end{matrix}\right.\qquad V=\{(\frac{-17}{11},\frac{-1}{4})\}\)
8. \(\left\{\begin{matrix}-6x-6y=\frac{288}{91}\\-2x=-y+\frac{-282}{91}\end{matrix}\right.\qquad V=\{(\frac{6}{7},\frac{-18}{13})\}\)
9. \(\left\{\begin{matrix}-x-y=\frac{31}{10}\\-3x=-4y+\frac{-6}{5}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{-3}{2})\}\)
10. \(\left\{\begin{matrix}-x+5y=\frac{-65}{17}\\-6x-5y=\frac{-530}{17}\end{matrix}\right.\qquad V=\{(5,\frac{4}{17})\}\)
11. \(\left\{\begin{matrix}6x-5y=\frac{-633}{40}\\-2x-y=\frac{91}{40}\end{matrix}\right.\qquad V=\{(\frac{-17}{10},\frac{9}{8})\}\)
12. \(\left\{\begin{matrix}-4x+6y=\frac{-174}{13}\\3x=y+\frac{149}{26}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-16}{13})\}\)