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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+y=\frac{17}{7}\\3x-3y=\frac{33}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x+6y=2\\x=-y+2\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{59}{7}-2x\\-x-y=\frac{-12}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-3y=\frac{-71}{14}\\x=4y+\frac{-38}{21}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+5y=\frac{17}{56}\\-x-2y=\frac{-43}{28}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+2y=\frac{3}{13}\\-6x=y+\frac{-83}{26}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+3y=\frac{25}{4}\\-3x=y+\frac{-41}{24}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{549}{77}-x\\4x+5y=\frac{524}{77}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{201}{14}-x\\-5x-2y=\frac{255}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-2y=\frac{-27}{2}\\x=2y+\frac{15}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=16-4x\\x+y=6\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+5y=\frac{7}{18}\\5x=-4y+\frac{28}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+y=\frac{17}{7}\\3x-3y=\frac{33}{7}\end{matrix}\right.\qquad V=\{(\frac{4}{7},-1)\}\)
2. \(\left\{\begin{matrix}2x+6y=2\\x=-y+2\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-1}{2})\}\)
3. \(\left\{\begin{matrix}-3y=\frac{59}{7}-2x\\-x-y=\frac{-12}{7}\end{matrix}\right.\qquad V=\{(\frac{19}{7},-1)\}\)
4. \(\left\{\begin{matrix}4x-3y=\frac{-71}{14}\\x=4y+\frac{-38}{21}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{1}{6})\}\)
5. \(\left\{\begin{matrix}-2x+5y=\frac{17}{56}\\-x-2y=\frac{-43}{28}\end{matrix}\right.\qquad V=\{(\frac{11}{14},\frac{3}{8})\}\)
6. \(\left\{\begin{matrix}2x+2y=\frac{3}{13}\\-6x=y+\frac{-83}{26}\end{matrix}\right.\qquad V=\{(\frac{8}{13},\frac{-1}{2})\}\)
7. \(\left\{\begin{matrix}6x+3y=\frac{25}{4}\\-3x=y+\frac{-41}{24}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{17}{6})\}\)
8. \(\left\{\begin{matrix}6y=\frac{549}{77}-x\\4x+5y=\frac{524}{77}\end{matrix}\right.\qquad V=\{(\frac{3}{11},\frac{8}{7})\}\)
9. \(\left\{\begin{matrix}-2y=\frac{201}{14}-x\\-5x-2y=\frac{255}{14}\end{matrix}\right.\qquad V=\{(\frac{-9}{14},\frac{-15}{2})\}\)
10. \(\left\{\begin{matrix}-6x-2y=\frac{-27}{2}\\x=2y+\frac{15}{2}\end{matrix}\right.\qquad V=\{(3,\frac{-9}{4})\}\)
11. \(\left\{\begin{matrix}2y=16-4x\\x+y=6\end{matrix}\right.\qquad V=\{(2,4)\}\)
12. \(\left\{\begin{matrix}x+5y=\frac{7}{18}\\5x=-4y+\frac{28}{9}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-1}{18})\}\)