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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-4y=\frac{-312}{19}\\x-2y=\frac{-80}{19}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-4y=\frac{296}{55}\\2x+y=\frac{-104}{55}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-3y=\frac{329}{55}\\5x=y+\frac{-190}{11}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2y=\frac{-57}{17}+2x\\3x-y=\frac{103}{34}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{-31}{14}-5x\\x-4y=\frac{74}{21}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+5y=\frac{1585}{247}\\-4x-6y=\frac{-2084}{247}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-6y=\frac{-1}{16}\\5x+4y=\frac{-193}{48}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+3y=\frac{-255}{7}\\x=-y+\frac{62}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-5y=\frac{80}{7}\\3x=-y+\frac{31}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{-803}{117}-6x\\-x+2y=\frac{-7}{117}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{178}{35}+6x\\3x-y=\frac{-34}{35}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4y=\frac{285}{68}-x\\-5x+3y=\frac{947}{272}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-4y=\frac{-312}{19}\\x-2y=\frac{-80}{19}\end{matrix}\right.\qquad V=\{(-4,\frac{2}{19})\}\)
2. \(\left\{\begin{matrix}-4x-4y=\frac{296}{55}\\2x+y=\frac{-104}{55}\end{matrix}\right.\qquad V=\{(\frac{-6}{11},\frac{-4}{5})\}\)
3. \(\left\{\begin{matrix}-2x-3y=\frac{329}{55}\\5x=y+\frac{-190}{11}\end{matrix}\right.\qquad V=\{(\frac{-17}{5},\frac{3}{11})\}\)
4. \(\left\{\begin{matrix}-2y=\frac{-57}{17}+2x\\3x-y=\frac{103}{34}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{1}{2})\}\)
5. \(\left\{\begin{matrix}-3y=\frac{-31}{14}-5x\\x-4y=\frac{74}{21}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{-7}{6})\}\)
6. \(\left\{\begin{matrix}x+5y=\frac{1585}{247}\\-4x-6y=\frac{-2084}{247}\end{matrix}\right.\qquad V=\{(\frac{5}{19},\frac{16}{13})\}\)
7. \(\left\{\begin{matrix}-x-6y=\frac{-1}{16}\\5x+4y=\frac{-193}{48}\end{matrix}\right.\qquad V=\{(\frac{-15}{16},\frac{1}{6})\}\)
8. \(\left\{\begin{matrix}-4x+3y=\frac{-255}{7}\\x=-y+\frac{62}{7}\end{matrix}\right.\qquad V=\{(9,\frac{-1}{7})\}\)
9. \(\left\{\begin{matrix}6x-5y=\frac{80}{7}\\3x=-y+\frac{31}{14}\end{matrix}\right.\qquad V=\{(\frac{15}{14},-1)\}\)
10. \(\left\{\begin{matrix}-2y=\frac{-803}{117}-6x\\-x+2y=\frac{-7}{117}\end{matrix}\right.\qquad V=\{(\frac{-18}{13},\frac{-13}{18})\}\)
11. \(\left\{\begin{matrix}4y=\frac{178}{35}+6x\\3x-y=\frac{-34}{35}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{11}{7})\}\)
12. \(\left\{\begin{matrix}4y=\frac{285}{68}-x\\-5x+3y=\frac{947}{272}\end{matrix}\right.\qquad V=\{(\frac{-1}{17},\frac{17}{16})\}\)