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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{77}{6}+x\\2x-6y=\frac{-37}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+6y=\frac{3}{10}\\-x=-6y+\frac{19}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=14-2x\\-5x-y=\frac{-101}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-2y=\frac{59}{12}\\5x-2y=\frac{-7}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x+2y=\frac{51}{40}\\x+5y=\frac{-273}{80}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{-81}{68}+6x\\2x+y=\frac{-75}{68}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5y=\frac{-205}{18}+x\\2x-4y=\frac{-61}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-3y=60\\3x=-y+-24\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+3y=\frac{146}{35}\\x+5y=\frac{164}{35}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-3y=-8\\-x-3y=\frac{7}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x-2y=\frac{122}{35}\\x-2y=\frac{-99}{70}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+2y=\frac{-88}{45}\\-x=-4y+\frac{589}{45}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{77}{6}+x\\2x-6y=\frac{-37}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{20}{9})\}\)
2. \(\left\{\begin{matrix}6x+6y=\frac{3}{10}\\-x=-6y+\frac{19}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{11}{20})\}\)
3. \(\left\{\begin{matrix}3y=14-2x\\-5x-y=\frac{-101}{4}\end{matrix}\right.\qquad V=\{(\frac{19}{4},\frac{3}{2})\}\)
4. \(\left\{\begin{matrix}-x-2y=\frac{59}{12}\\5x-2y=\frac{-7}{12}\end{matrix}\right.\qquad V=\{(\frac{-11}{12},-2)\}\)
5. \(\left\{\begin{matrix}-4x+2y=\frac{51}{40}\\x+5y=\frac{-273}{80}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},\frac{-9}{16})\}\)
6. \(\left\{\begin{matrix}3y=\frac{-81}{68}+6x\\2x+y=\frac{-75}{68}\end{matrix}\right.\qquad V=\{(\frac{-3}{17},\frac{-3}{4})\}\)
7. \(\left\{\begin{matrix}-5y=\frac{-205}{18}+x\\2x-4y=\frac{-61}{9}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{19}{9})\}\)
8. \(\left\{\begin{matrix}-3x-3y=60\\3x=-y+-24\end{matrix}\right.\qquad V=\{(-2,-18)\}\)
9. \(\left\{\begin{matrix}4x+3y=\frac{146}{35}\\x+5y=\frac{164}{35}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{6}{7})\}\)
10. \(\left\{\begin{matrix}-6x-3y=-8\\-x-3y=\frac{7}{6}\end{matrix}\right.\qquad V=\{(\frac{11}{6},-1)\}\)
11. \(\left\{\begin{matrix}-6x-2y=\frac{122}{35}\\x-2y=\frac{-99}{70}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{5}{14})\}\)
12. \(\left\{\begin{matrix}4x+2y=\frac{-88}{45}\\-x=-4y+\frac{589}{45}\end{matrix}\right.\qquad V=\{(\frac{-17}{9},\frac{14}{5})\}\)