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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+3y=\frac{-215}{48}\\2x-y=\frac{109}{48}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+3y=\frac{-27}{7}\\-x+y=\frac{-17}{7}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+2y=\frac{53}{6}\\-5x=y+\frac{67}{12}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-y=\frac{-53}{6}\\3x=-3y+\frac{-31}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+2y=\frac{-111}{10}\\-6x+y=\frac{229}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3y=\frac{425}{28}+2x\\-x+y=\frac{-15}{28}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+y=\frac{-33}{4}\\2x-3y=\frac{137}{12}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+y=\frac{-871}{56}\\2x=6y+\frac{-123}{28}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+3y=\frac{82}{33}\\-6x=y+\frac{8}{11}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=\frac{-86}{3}-4x\\5x+y=\frac{23}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+4y=\frac{65}{14}\\-x=y+\frac{45}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+2y=\frac{25}{51}\\5x-3y=\frac{22}{51}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+3y=\frac{-215}{48}\\2x-y=\frac{109}{48}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{1}{16})\}\)
2. \(\left\{\begin{matrix}5x+3y=\frac{-27}{7}\\-x+y=\frac{-17}{7}\end{matrix}\right.\qquad V=\{(\frac{3}{7},-2)\}\)
3. \(\left\{\begin{matrix}-6x+2y=\frac{53}{6}\\-5x=y+\frac{67}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{2}{3})\}\)
4. \(\left\{\begin{matrix}3x-y=\frac{-53}{6}\\3x=-3y+\frac{-31}{2}\end{matrix}\right.\qquad V=\{(\frac{-7}{2},\frac{-5}{3})\}\)
5. \(\left\{\begin{matrix}5x+2y=\frac{-111}{10}\\-6x+y=\frac{229}{20}\end{matrix}\right.\qquad V=\{(-2,\frac{-11}{20})\}\)
6. \(\left\{\begin{matrix}-3y=\frac{425}{28}+2x\\-x+y=\frac{-15}{28}\end{matrix}\right.\qquad V=\{(\frac{-19}{7},\frac{-13}{4})\}\)
7. \(\left\{\begin{matrix}-6x+y=\frac{-33}{4}\\2x-3y=\frac{137}{12}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{-13}{4})\}\)
8. \(\left\{\begin{matrix}6x+y=\frac{-871}{56}\\2x=6y+\frac{-123}{28}\end{matrix}\right.\qquad V=\{(\frac{-18}{7},\frac{-1}{8})\}\)
9. \(\left\{\begin{matrix}4x+3y=\frac{82}{33}\\-6x=y+\frac{8}{11}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{14}{11})\}\)
10. \(\left\{\begin{matrix}-5y=\frac{-86}{3}-4x\\5x+y=\frac{23}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{3},6)\}\)
11. \(\left\{\begin{matrix}-3x+4y=\frac{65}{14}\\-x=y+\frac{45}{14}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-5}{7})\}\)
12. \(\left\{\begin{matrix}-x+2y=\frac{25}{51}\\5x-3y=\frac{22}{51}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{7}{17})\}\)