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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=-3+2x\\3x-y=\frac{-13}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-3y=\frac{-143}{240}\\x+4y=\frac{209}{60}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{-56}{15}+4x\\-3x-y=\frac{1}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-5y=\frac{-336}{85}\\-x-6y=\frac{-206}{85}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+3y=\frac{158}{5}\\-5x-y=\frac{332}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x+6y=10\\6x-y=\frac{65}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+3y=\frac{-267}{76}\\-x+2y=\frac{-41}{38}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+4y=\frac{31}{72}\\5x-4y=\frac{-283}{72}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-6y=\frac{-37}{4}\\5x=y+\frac{151}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+5y=\frac{-99}{14}\\4x-y=\frac{239}{21}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x-4y=18\\x-2y=6\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+5y=\frac{37}{4}\\x=-5y+\frac{179}{20}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=-3+2x\\3x-y=\frac{-13}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{11}{4})\}\)
2. \(\left\{\begin{matrix}2x-3y=\frac{-143}{240}\\x+4y=\frac{209}{60}\end{matrix}\right.\qquad V=\{(\frac{11}{15},\frac{11}{16})\}\)
3. \(\left\{\begin{matrix}2y=\frac{-56}{15}+4x\\-3x-y=\frac{1}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-6}{5})\}\)
4. \(\left\{\begin{matrix}4x-5y=\frac{-336}{85}\\-x-6y=\frac{-206}{85}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{8}{17})\}\)
5. \(\left\{\begin{matrix}-6x+3y=\frac{158}{5}\\-5x-y=\frac{332}{15}\end{matrix}\right.\qquad V=\{(\frac{-14}{3},\frac{6}{5})\}\)
6. \(\left\{\begin{matrix}5x+6y=10\\6x-y=\frac{65}{2}\end{matrix}\right.\qquad V=\{(5,\frac{-5}{2})\}\)
7. \(\left\{\begin{matrix}3x+3y=\frac{-267}{76}\\-x+2y=\frac{-41}{38}\end{matrix}\right.\qquad V=\{(\frac{-8}{19},\frac{-3}{4})\}\)
8. \(\left\{\begin{matrix}-x+4y=\frac{31}{72}\\5x-4y=\frac{-283}{72}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{-1}{9})\}\)
9. \(\left\{\begin{matrix}-5x-6y=\frac{-37}{4}\\5x=y+\frac{151}{8}\end{matrix}\right.\qquad V=\{(\frac{7}{2},\frac{-11}{8})\}\)
10. \(\left\{\begin{matrix}3x+5y=\frac{-99}{14}\\4x-y=\frac{239}{21}\end{matrix}\right.\qquad V=\{(\frac{13}{6},\frac{-19}{7})\}\)
11. \(\left\{\begin{matrix}6x-4y=18\\x-2y=6\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-9}{4})\}\)
12. \(\left\{\begin{matrix}-5x+5y=\frac{37}{4}\\x=-5y+\frac{179}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{20},\frac{9}{5})\}\)