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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3y=\frac{9}{2}+x\\2x+2y=-7\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{394}{63}-4x\\3x+5y=\frac{202}{21}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6y=\frac{402}{77}-x\\6x+5y=\frac{-316}{77}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-2y=\frac{57}{14}\\-x-4y=\frac{15}{56}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+2y=\frac{-193}{119}\\-x-5y=\frac{-1}{238}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+4y=\frac{-249}{68}\\-x=-y+\frac{-75}{68}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-y=\frac{151}{140}\\-6x+3y=\frac{-447}{70}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{-9}{8}+6x\\-x+y=\frac{-3}{16}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-2y=\frac{-15}{2}\\5x-y=\frac{67}{12}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-4y=\frac{-17}{3}\\6x+6y=\frac{7}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+y=\frac{3}{304}\\-6x=2y+\frac{567}{152}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-4y=\frac{-47}{5}\\x+6y=\frac{53}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3y=\frac{9}{2}+x\\2x+2y=-7\end{matrix}\right.\qquad V=\{(-3,\frac{-1}{2})\}\)
2. \(\left\{\begin{matrix}-y=\frac{394}{63}-4x\\3x+5y=\frac{202}{21}\end{matrix}\right.\qquad V=\{(\frac{16}{9},\frac{6}{7})\}\)
3. \(\left\{\begin{matrix}6y=\frac{402}{77}-x\\6x+5y=\frac{-316}{77}\end{matrix}\right.\qquad V=\{(\frac{-18}{11},\frac{8}{7})\}\)
4. \(\left\{\begin{matrix}4x-2y=\frac{57}{14}\\-x-4y=\frac{15}{56}\end{matrix}\right.\qquad V=\{(\frac{7}{8},\frac{-2}{7})\}\)
5. \(\left\{\begin{matrix}5x+2y=\frac{-193}{119}\\-x-5y=\frac{-1}{238}\end{matrix}\right.\qquad V=\{(\frac{-6}{17},\frac{1}{14})\}\)
6. \(\left\{\begin{matrix}-3x+4y=\frac{-249}{68}\\-x=-y+\frac{-75}{68}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-6}{17})\}\)
7. \(\left\{\begin{matrix}-x-y=\frac{151}{140}\\-6x+3y=\frac{-447}{70}\end{matrix}\right.\qquad V=\{(\frac{7}{20},\frac{-10}{7})\}\)
8. \(\left\{\begin{matrix}6y=\frac{-9}{8}+6x\\-x+y=\frac{-3}{16}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-7}{16})\}\)
9. \(\left\{\begin{matrix}-4x-2y=\frac{-15}{2}\\5x-y=\frac{67}{12}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{13}{12})\}\)
10. \(\left\{\begin{matrix}x-4y=\frac{-17}{3}\\6x+6y=\frac{7}{2}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{5}{4})\}\)
11. \(\left\{\begin{matrix}x+y=\frac{3}{304}\\-6x=2y+\frac{567}{152}\end{matrix}\right.\qquad V=\{(\frac{-15}{16},\frac{18}{19})\}\)
12. \(\left\{\begin{matrix}-3x-4y=\frac{-47}{5}\\x+6y=\frac{53}{5}\end{matrix}\right.\qquad V=\{(1,\frac{8}{5})\}\)