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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+3y=\frac{-11}{2}\\-x-3y=\frac{73}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+6y=\frac{-91}{10}\\6x+2y=\frac{-1}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-6y=\frac{-1085}{136}\\2x=6y+\frac{-211}{68}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{79}{12}-x\\-6x-2y=\frac{1}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+6y=\frac{-27}{10}\\-6x=y+\frac{-41}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{-39}{11}-3x\\-5x+3y=\frac{109}{11}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+4y=\frac{-5}{3}\\-5x=-y+\frac{7}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x-2y=\frac{11}{9}\\-x=3y+\frac{-11}{6}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+y=\frac{-255}{44}\\-6x=-3y+\frac{195}{22}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{-311}{19}-4x\\-x+5y=\frac{1299}{76}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{383}{78}-5x\\x-y=\frac{73}{78}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x-4y=-8\\-x-2y=\frac{-28}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+3y=\frac{-11}{2}\\-x-3y=\frac{73}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{12},-2)\}\)
2. \(\left\{\begin{matrix}x+6y=\frac{-91}{10}\\6x+2y=\frac{-1}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-8}{5})\}\)
3. \(\left\{\begin{matrix}-x-6y=\frac{-1085}{136}\\2x=6y+\frac{-211}{68}\end{matrix}\right.\qquad V=\{(\frac{13}{8},\frac{18}{17})\}\)
4. \(\left\{\begin{matrix}-5y=\frac{79}{12}-x\\-6x-2y=\frac{1}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-5}{4})\}\)
5. \(\left\{\begin{matrix}6x+6y=\frac{-27}{10}\\-6x=y+\frac{-41}{20}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-19}{20})\}\)
6. \(\left\{\begin{matrix}-y=\frac{-39}{11}-3x\\-5x+3y=\frac{109}{11}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},3)\}\)
7. \(\left\{\begin{matrix}2x+4y=\frac{-5}{3}\\-5x=-y+\frac{7}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-1}{6})\}\)
8. \(\left\{\begin{matrix}3x-2y=\frac{11}{9}\\-x=3y+\frac{-11}{6}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{7}{18})\}\)
9. \(\left\{\begin{matrix}3x+y=\frac{-255}{44}\\-6x=-3y+\frac{195}{22}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},\frac{-6}{11})\}\)
10. \(\left\{\begin{matrix}-4y=\frac{-311}{19}-4x\\-x+5y=\frac{1299}{76}\end{matrix}\right.\qquad V=\{(\frac{-16}{19},\frac{13}{4})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{383}{78}-5x\\x-y=\frac{73}{78}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{3}{13})\}\)
12. \(\left\{\begin{matrix}-4x-4y=-8\\-x-2y=\frac{-28}{9}\end{matrix}\right.\qquad V=\{(\frac{8}{9},\frac{10}{9})\}\)