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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{13}{4}-4x\\3x-2y=\frac{49}{16}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+5y=\frac{488}{55}\\-3x+4y=\frac{56}{55}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-2y=\frac{-74}{15}\\-x+4y=\frac{94}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{-62}{11}-6x\\-5x+3y=\frac{401}{66}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+5y=\frac{130}{11}\\-x-3y=\frac{-71}{11}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+2y=\frac{-62}{9}\\x=-y+\frac{-1}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+y=\frac{-15}{2}\\-6x+6y=-39\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-4y=\frac{53}{10}\\-x=-2y+\frac{-3}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+6y=\frac{17}{13}\\x+3y=\frac{157}{26}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=\frac{25}{6}-2x\\-x+6y=\frac{55}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x+4y=\frac{-572}{9}\\-6x+y=\frac{-8}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{-37}{11}-3x\\-5x-5y=\frac{75}{11}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{13}{4}-4x\\3x-2y=\frac{49}{16}\end{matrix}\right.\qquad V=\{(\frac{11}{16},\frac{-1}{2})\}\)
2. \(\left\{\begin{matrix}x+5y=\frac{488}{55}\\-3x+4y=\frac{56}{55}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{16}{11})\}\)
3. \(\left\{\begin{matrix}-4x-2y=\frac{-74}{15}\\-x+4y=\frac{94}{15}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{5}{3})\}\)
4. \(\left\{\begin{matrix}-y=\frac{-62}{11}-6x\\-5x+3y=\frac{401}{66}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{7}{11})\}\)
5. \(\left\{\begin{matrix}4x+5y=\frac{130}{11}\\-x-3y=\frac{-71}{11}\end{matrix}\right.\qquad V=\{(\frac{5}{11},2)\}\)
6. \(\left\{\begin{matrix}6x+2y=\frac{-62}{9}\\x=-y+\frac{-1}{3}\end{matrix}\right.\qquad V=\{(\frac{-14}{9},\frac{11}{9})\}\)
7. \(\left\{\begin{matrix}-2x+y=\frac{-15}{2}\\-6x+6y=-39\end{matrix}\right.\qquad V=\{(1,\frac{-11}{2})\}\)
8. \(\left\{\begin{matrix}-2x-4y=\frac{53}{10}\\-x=-2y+\frac{-3}{20}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{-7}{10})\}\)
9. \(\left\{\begin{matrix}-5x+6y=\frac{17}{13}\\x+3y=\frac{157}{26}\end{matrix}\right.\qquad V=\{(\frac{20}{13},\frac{3}{2})\}\)
10. \(\left\{\begin{matrix}6y=\frac{25}{6}-2x\\-x+6y=\frac{55}{6}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{5}{4})\}\)
11. \(\left\{\begin{matrix}4x+4y=\frac{-572}{9}\\-6x+y=\frac{-8}{3}\end{matrix}\right.\qquad V=\{(\frac{-17}{9},-14)\}\)
12. \(\left\{\begin{matrix}y=\frac{-37}{11}-3x\\-5x-5y=\frac{75}{11}\end{matrix}\right.\qquad V=\{(-1,\frac{-4}{11})\}\)