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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-y=\frac{-184}{9}\\-3x-6y=\frac{61}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x-3y=\frac{11}{5}\\-x-5y=\frac{-62}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{-73}{4}-3x\\-4x+y=\frac{-21}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=\frac{-111}{10}-6x\\-4x-y=\frac{133}{20}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+6y=\frac{-153}{20}\\2x-5y=\frac{11}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+5y=\frac{1701}{323}\\x=4y+\frac{-1167}{323}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+y=\frac{101}{60}\\-3x=-5y+\frac{-11}{12}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{-85}{11}-x\\6x+2y=\frac{-158}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+4y=\frac{-23}{7}\\x+5y=\frac{-75}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{-18}{7}-6x\\x-2y=\frac{-23}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-3y=\frac{-9}{14}\\x-3y=\frac{-25}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+y=\frac{-13}{2}\\5x-5y=\frac{15}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-y=\frac{-184}{9}\\-3x-6y=\frac{61}{3}\end{matrix}\right.\qquad V=\{(\frac{-11}{3},\frac{-14}{9})\}\)
2. \(\left\{\begin{matrix}-6x-3y=\frac{11}{5}\\-x-5y=\frac{-62}{15}\end{matrix}\right.\qquad V=\{(\frac{-13}{15},1)\}\)
3. \(\left\{\begin{matrix}4y=\frac{-73}{4}-3x\\-4x+y=\frac{-21}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-11}{2})\}\)
4. \(\left\{\begin{matrix}6y=\frac{-111}{10}-6x\\-4x-y=\frac{133}{20}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{-1}{4})\}\)
5. \(\left\{\begin{matrix}-x+6y=\frac{-153}{20}\\2x-5y=\frac{11}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-7}{5})\}\)
6. \(\left\{\begin{matrix}3x+5y=\frac{1701}{323}\\x=4y+\frac{-1167}{323}\end{matrix}\right.\qquad V=\{(\frac{3}{17},\frac{18}{19})\}\)
7. \(\left\{\begin{matrix}-3x+y=\frac{101}{60}\\-3x=-5y+\frac{-11}{12}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},\frac{-13}{20})\}\)
8. \(\left\{\begin{matrix}y=\frac{-85}{11}-x\\6x+2y=\frac{-158}{11}\end{matrix}\right.\qquad V=\{(\frac{3}{11},-8)\}\)
9. \(\left\{\begin{matrix}-2x+4y=\frac{-23}{7}\\x+5y=\frac{-75}{14}\end{matrix}\right.\qquad V=\{(\frac{-5}{14},-1)\}\)
10. \(\left\{\begin{matrix}-4y=\frac{-18}{7}-6x\\x-2y=\frac{-23}{7}\end{matrix}\right.\qquad V=\{(1,\frac{15}{7})\}\)
11. \(\left\{\begin{matrix}-3x-3y=\frac{-9}{14}\\x-3y=\frac{-25}{14}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{1}{2})\}\)
12. \(\left\{\begin{matrix}4x+y=\frac{-13}{2}\\5x-5y=\frac{15}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{-5}{2})\}\)