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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-5y=\frac{77}{18}\\x=-3y+\frac{-11}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+4y=\frac{-37}{5}\\2x=y+\frac{57}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x+y=\frac{38}{7}\\-6x+6y=\frac{-66}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-6y=\frac{448}{11}\\-6x=-y+\frac{622}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-2y=\frac{-206}{3}\\5x=-y+\frac{229}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{-659}{90}-3x\\x-y=\frac{-163}{90}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+3y=\frac{-77}{19}\\-x+6y=\frac{-124}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{-12}{7}-x\\4x+6y=\frac{-3}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-4y=\frac{103}{9}\\6x+y=\frac{151}{18}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{-27}{7}-4x\\-6x+3y=\frac{-9}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{-28}{45}+2x\\3x+y=\frac{2}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x-4y=-47\\6x=y+22\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-5y=\frac{77}{18}\\x=-3y+\frac{-11}{9}\end{matrix}\right.\qquad V=\{(\frac{11}{18},\frac{-11}{18})\}\)
2. \(\left\{\begin{matrix}-3x+4y=\frac{-37}{5}\\2x=y+\frac{57}{20}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-5}{4})\}\)
3. \(\left\{\begin{matrix}6x+y=\frac{38}{7}\\-6x+6y=\frac{-66}{7}\end{matrix}\right.\qquad V=\{(1,\frac{-4}{7})\}\)
4. \(\left\{\begin{matrix}-4x-6y=\frac{448}{11}\\-6x=-y+\frac{622}{11}\end{matrix}\right.\qquad V=\{(\frac{-19}{2},\frac{-5}{11})\}\)
5. \(\left\{\begin{matrix}-4x-2y=\frac{-206}{3}\\5x=-y+\frac{229}{3}\end{matrix}\right.\qquad V=\{(14,\frac{19}{3})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{-659}{90}-3x\\x-y=\frac{-163}{90}\end{matrix}\right.\qquad V=\{(\frac{-13}{15},\frac{17}{18})\}\)
7. \(\left\{\begin{matrix}-2x+3y=\frac{-77}{19}\\-x+6y=\frac{-124}{19}\end{matrix}\right.\qquad V=\{(\frac{10}{19},-1)\}\)
8. \(\left\{\begin{matrix}3y=\frac{-12}{7}-x\\4x+6y=\frac{-3}{7}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-15}{14})\}\)
9. \(\left\{\begin{matrix}6x-4y=\frac{103}{9}\\6x+y=\frac{151}{18}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-11}{18})\}\)
10. \(\left\{\begin{matrix}y=\frac{-27}{7}-4x\\-6x+3y=\frac{-9}{7}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{-11}{7})\}\)
11. \(\left\{\begin{matrix}2y=\frac{-28}{45}+2x\\3x+y=\frac{2}{15}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{-1}{5})\}\)
12. \(\left\{\begin{matrix}-6x-4y=-47\\6x=y+22\end{matrix}\right.\qquad V=\{(\frac{9}{2},5)\}\)