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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-5y=\frac{-7}{4}\\x=3y+\frac{-7}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+6y=\frac{-158}{5}\\6x-y=\frac{133}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+5y=\frac{-35}{9}\\-3x+y=\frac{-25}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+y=\frac{-17}{4}\\3x=2y+\frac{7}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+4y=\frac{210}{13}\\-x+4y=\frac{305}{39}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-y=\frac{-395}{52}\\-3x=-5y+\frac{-27}{52}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-y=\frac{258}{17}\\-6x=6y+\frac{-594}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+6y=\frac{891}{152}\\-6x=-y+\frac{-393}{152}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{-83}{10}-6x\\-3x-y=\frac{79}{20}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+y=\frac{110}{3}\\-2x-4y=\frac{-80}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{-854}{9}-x\\4x+6y=\frac{904}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{47}{14}+2x\\x-5y=\frac{-8}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-5y=\frac{-7}{4}\\x=3y+\frac{-7}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{1}{2})\}\)
2. \(\left\{\begin{matrix}-4x+6y=\frac{-158}{5}\\6x-y=\frac{133}{5}\end{matrix}\right.\qquad V=\{(4,\frac{-13}{5})\}\)
3. \(\left\{\begin{matrix}-5x+5y=\frac{-35}{9}\\-3x+y=\frac{-25}{9}\end{matrix}\right.\qquad V=\{(1,\frac{2}{9})\}\)
4. \(\left\{\begin{matrix}-4x+y=\frac{-17}{4}\\3x=2y+\frac{7}{2}\end{matrix}\right.\qquad V=\{(1,\frac{-1}{4})\}\)
5. \(\left\{\begin{matrix}-6x+4y=\frac{210}{13}\\-x+4y=\frac{305}{39}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{20}{13})\}\)
6. \(\left\{\begin{matrix}5x-y=\frac{-395}{52}\\-3x=-5y+\frac{-27}{52}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},\frac{-15}{13})\}\)
7. \(\left\{\begin{matrix}2x-y=\frac{258}{17}\\-6x=6y+\frac{-594}{17}\end{matrix}\right.\qquad V=\{(7,\frac{-20}{17})\}\)
8. \(\left\{\begin{matrix}2x+6y=\frac{891}{152}\\-6x=-y+\frac{-393}{152}\end{matrix}\right.\qquad V=\{(\frac{9}{16},\frac{15}{19})\}\)
9. \(\left\{\begin{matrix}4y=\frac{-83}{10}-6x\\-3x-y=\frac{79}{20}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{-1}{5})\}\)
10. \(\left\{\begin{matrix}3x+y=\frac{110}{3}\\-2x-4y=\frac{-80}{3}\end{matrix}\right.\qquad V=\{(12,\frac{2}{3})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{-854}{9}-x\\4x+6y=\frac{904}{9}\end{matrix}\right.\qquad V=\{(\frac{10}{9},16)\}\)
12. \(\left\{\begin{matrix}-5y=\frac{47}{14}+2x\\x-5y=\frac{-8}{7}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-1}{14})\}\)