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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{-4}{7}-3x\\-3x-y=\frac{-8}{35}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+3y=\frac{-176}{7}\\-x=-y+\frac{-181}{42}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=\frac{220}{39}-6x\\x+y=\frac{200}{117}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-2y=\frac{47}{6}\\4x-y=\frac{-107}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+y=\frac{1021}{80}\\-4x-5y=\frac{-529}{80}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-5y=\frac{-107}{14}\\5x+y=\frac{13}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x-3y=\frac{145}{7}\\2x+6y=\frac{-298}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6y=\frac{-48}{7}+2x\\x-y=\frac{-26}{21}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+6y=\frac{5}{2}\\2x=-y+\frac{37}{12}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-2y=\frac{81}{5}\\-x-4y=\frac{49}{10}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{-328}{119}-x\\-6x-2y=\frac{400}{119}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-4y=\frac{-55}{8}\\4x+y=\frac{11}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{-4}{7}-3x\\-3x-y=\frac{-8}{35}\end{matrix}\right.\qquad V=\{(\frac{1}{7},\frac{-1}{5})\}\)
2. \(\left\{\begin{matrix}6x+3y=\frac{-176}{7}\\-x=-y+\frac{-181}{42}\end{matrix}\right.\qquad V=\{(\frac{-19}{14},\frac{-17}{3})\}\)
3. \(\left\{\begin{matrix}2y=\frac{220}{39}-6x\\x+y=\frac{200}{117}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{15}{13})\}\)
4. \(\left\{\begin{matrix}-5x-2y=\frac{47}{6}\\4x-y=\frac{-107}{15}\end{matrix}\right.\qquad V=\{(\frac{-17}{10},\frac{1}{3})\}\)
5. \(\left\{\begin{matrix}6x+y=\frac{1021}{80}\\-4x-5y=\frac{-529}{80}\end{matrix}\right.\qquad V=\{(\frac{11}{5},\frac{-7}{16})\}\)
6. \(\left\{\begin{matrix}-2x-5y=\frac{-107}{14}\\5x+y=\frac{13}{7}\end{matrix}\right.\qquad V=\{(\frac{1}{14},\frac{3}{2})\}\)
7. \(\left\{\begin{matrix}x-3y=\frac{145}{7}\\2x+6y=\frac{-298}{7}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},-7)\}\)
8. \(\left\{\begin{matrix}-6y=\frac{-48}{7}+2x\\x-y=\frac{-26}{21}\end{matrix}\right.\qquad V=\{(\frac{-1}{14},\frac{7}{6})\}\)
9. \(\left\{\begin{matrix}4x+6y=\frac{5}{2}\\2x=-y+\frac{37}{12}\end{matrix}\right.\qquad V=\{(2,\frac{-11}{12})\}\)
10. \(\left\{\begin{matrix}-6x-2y=\frac{81}{5}\\-x-4y=\frac{49}{10}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-3}{5})\}\)
11. \(\left\{\begin{matrix}3y=\frac{-328}{119}-x\\-6x-2y=\frac{400}{119}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{-14}{17})\}\)
12. \(\left\{\begin{matrix}-5x-4y=\frac{-55}{8}\\4x+y=\frac{11}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{5}{4})\}\)