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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x+2y=\frac{-96}{17}\\x+y=\frac{-14}{17}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-5y=\frac{193}{6}\\6x-y=\frac{173}{6}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+y=\frac{-23}{39}\\-3x=4y+\frac{-106}{39}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{-257}{28}+3x\\5x+y=\frac{213}{28}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-5y=\frac{-270}{11}\\-x=4y+\frac{-166}{11}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{-51}{10}-3x\\-4x-6y=\frac{-71}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x-2y=\frac{138}{17}\\4x=-y+\frac{-72}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{-52}{15}-4x\\5x-6y=\frac{-12}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{131}{15}+6x\\x+2y=\frac{-37}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{187}{15}-2x\\4x+y=\frac{14}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+6y=\frac{515}{48}\\-x-y=\frac{-109}{144}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+2y=\frac{1}{3}\\5x+y=\frac{-10}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x+2y=\frac{-96}{17}\\x+y=\frac{-14}{17}\end{matrix}\right.\qquad V=\{(-2,\frac{20}{17})\}\)
2. \(\left\{\begin{matrix}6x-5y=\frac{193}{6}\\6x-y=\frac{173}{6}\end{matrix}\right.\qquad V=\{(\frac{14}{3},\frac{-5}{6})\}\)
3. \(\left\{\begin{matrix}-2x+y=\frac{-23}{39}\\-3x=4y+\frac{-106}{39}\end{matrix}\right.\qquad V=\{(\frac{6}{13},\frac{1}{3})\}\)
4. \(\left\{\begin{matrix}-4y=\frac{-257}{28}+3x\\5x+y=\frac{213}{28}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{19}{14})\}\)
5. \(\left\{\begin{matrix}5x-5y=\frac{-270}{11}\\-x=4y+\frac{-166}{11}\end{matrix}\right.\qquad V=\{(\frac{-10}{11},4)\}\)
6. \(\left\{\begin{matrix}y=\frac{-51}{10}-3x\\-4x-6y=\frac{-71}{5}\end{matrix}\right.\qquad V=\{(\frac{-16}{5},\frac{9}{2})\}\)
7. \(\left\{\begin{matrix}-2x-2y=\frac{138}{17}\\4x=-y+\frac{-72}{17}\end{matrix}\right.\qquad V=\{(\frac{-1}{17},-4)\}\)
8. \(\left\{\begin{matrix}y=\frac{-52}{15}-4x\\5x-6y=\frac{-12}{5}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-4}{15})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{131}{15}+6x\\x+2y=\frac{-37}{15}\end{matrix}\right.\qquad V=\{(\frac{-11}{15},\frac{-13}{15})\}\)
10. \(\left\{\begin{matrix}-4y=\frac{187}{15}-2x\\4x+y=\frac{14}{15}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{-8}{3})\}\)
11. \(\left\{\begin{matrix}-3x+6y=\frac{515}{48}\\-x-y=\frac{-109}{144}\end{matrix}\right.\qquad V=\{(\frac{-11}{16},\frac{13}{9})\}\)
12. \(\left\{\begin{matrix}3x+2y=\frac{1}{3}\\5x+y=\frac{-10}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{5}{3})\}\)