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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+6y=7\\-2x=-y+\frac{2}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x-4y=\frac{-337}{34}\\-x=-y+\frac{257}{136}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-5y=\frac{-1195}{38}\\3x-4y=\frac{-434}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-4y=\frac{3}{68}\\-x-3y=\frac{-667}{272}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{431}{40}+5x\\-x+y=\frac{-157}{40}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-2y=-3\\-x+y=\frac{-1}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{370}{51}+5x\\x+3y=\frac{154}{51}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x+4y=\frac{-172}{57}\\6x+y=\frac{269}{57}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-y=\frac{-33}{2}\\-5x+5y=\frac{375}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+6y=\frac{-11}{3}\\4x=5y+\frac{-1}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-6y=\frac{-777}{190}\\4x=-5y+\frac{186}{95}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+2y=\frac{35}{9}\\-4x=-y+\frac{95}{18}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+6y=7\\-2x=-y+\frac{2}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{5}{3})\}\)
2. \(\left\{\begin{matrix}-6x-4y=\frac{-337}{34}\\-x=-y+\frac{257}{136}\end{matrix}\right.\qquad V=\{(\frac{4}{17},\frac{17}{8})\}\)
3. \(\left\{\begin{matrix}x-5y=\frac{-1195}{38}\\3x-4y=\frac{-434}{19}\end{matrix}\right.\qquad V=\{(\frac{20}{19},\frac{13}{2})\}\)
4. \(\left\{\begin{matrix}3x-4y=\frac{3}{68}\\-x-3y=\frac{-667}{272}\end{matrix}\right.\qquad V=\{(\frac{13}{17},\frac{9}{16})\}\)
5. \(\left\{\begin{matrix}-3y=\frac{431}{40}+5x\\-x+y=\frac{-157}{40}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{-19}{5})\}\)
6. \(\left\{\begin{matrix}-2x-2y=-3\\-x+y=\frac{-1}{2}\end{matrix}\right.\qquad V=\{(1,\frac{1}{2})\}\)
7. \(\left\{\begin{matrix}5y=\frac{370}{51}+5x\\x+3y=\frac{154}{51}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{19}{17})\}\)
8. \(\left\{\begin{matrix}-2x+4y=\frac{-172}{57}\\6x+y=\frac{269}{57}\end{matrix}\right.\qquad V=\{(\frac{16}{19},\frac{-1}{3})\}\)
9. \(\left\{\begin{matrix}4x-y=\frac{-33}{2}\\-5x+5y=\frac{375}{8}\end{matrix}\right.\qquad V=\{(\frac{-19}{8},7)\}\)
10. \(\left\{\begin{matrix}-x+6y=\frac{-11}{3}\\4x=5y+\frac{-1}{9}\end{matrix}\right.\qquad V=\{(-1,\frac{-7}{9})\}\)
11. \(\left\{\begin{matrix}x-6y=\frac{-777}{190}\\4x=-5y+\frac{186}{95}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{12}{19})\}\)
12. \(\left\{\begin{matrix}-3x+2y=\frac{35}{9}\\-4x=-y+\frac{95}{18}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-1}{18})\}\)