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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+6y=\frac{-17}{8}\\-4x=-y+\frac{53}{16}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+4y=\frac{-337}{35}\\3x=-3y+\frac{66}{35}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{28}{19}+2x\\x+2y=\frac{-9}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{-181}{60}+3x\\x+3y=\frac{-143}{180}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+y=\frac{75}{8}\\-2x+2y=\frac{25}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-y=\frac{-104}{45}\\-5x=-5y+\frac{193}{18}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-2y=\frac{-229}{7}\\5x=-y+\frac{335}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{-29}{24}+x\\5x+3y=\frac{-107}{24}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x+5y=\frac{-20}{3}\\3x+y=\frac{-34}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-4y=\frac{-83}{10}\\x=5y+\frac{-201}{20}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=3-4x\\2x-y=\frac{15}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{-225}{26}+4x\\2x+6y=\frac{-155}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+6y=\frac{-17}{8}\\-4x=-y+\frac{53}{16}\end{matrix}\right.\qquad V=\{(-1,\frac{-11}{16})\}\)
2. \(\left\{\begin{matrix}-x+4y=\frac{-337}{35}\\3x=-3y+\frac{66}{35}\end{matrix}\right.\qquad V=\{(\frac{17}{7},\frac{-9}{5})\}\)
3. \(\left\{\begin{matrix}-2y=\frac{28}{19}+2x\\x+2y=\frac{-9}{19}\end{matrix}\right.\qquad V=\{(-1,\frac{5}{19})\}\)
4. \(\left\{\begin{matrix}3y=\frac{-181}{60}+3x\\x+3y=\frac{-143}{180}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{-9}{20})\}\)
5. \(\left\{\begin{matrix}-6x+y=\frac{75}{8}\\-2x+2y=\frac{25}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-5}{8})\}\)
6. \(\left\{\begin{matrix}-2x-y=\frac{-104}{45}\\-5x=-5y+\frac{193}{18}\end{matrix}\right.\qquad V=\{(\frac{1}{18},\frac{11}{5})\}\)
7. \(\left\{\begin{matrix}-3x-2y=\frac{-229}{7}\\5x=-y+\frac{335}{7}\end{matrix}\right.\qquad V=\{(9,\frac{20}{7})\}\)
8. \(\left\{\begin{matrix}-3y=\frac{-29}{24}+x\\5x+3y=\frac{-107}{24}\end{matrix}\right.\qquad V=\{(\frac{-17}{12},\frac{7}{8})\}\)
9. \(\left\{\begin{matrix}-6x+5y=\frac{-20}{3}\\3x+y=\frac{-34}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{-8}{5})\}\)
10. \(\left\{\begin{matrix}6x-4y=\frac{-83}{10}\\x=5y+\frac{-201}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{20},2)\}\)
11. \(\left\{\begin{matrix}-4y=3-4x\\2x-y=\frac{15}{8}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{3}{8})\}\)
12. \(\left\{\begin{matrix}y=\frac{-225}{26}+4x\\2x+6y=\frac{-155}{13}\end{matrix}\right.\qquad V=\{(\frac{20}{13},\frac{-5}{2})\}\)