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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-5y=\frac{41}{11}\\5x=y+\frac{17}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{-278}{153}-4x\\x-4y=\frac{277}{153}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-y=\frac{46}{5}\\-3x=4y+\frac{-6}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+3y=\frac{301}{52}\\x=y+\frac{-301}{156}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+4y=\frac{59}{7}\\-4x=2y+\frac{128}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x-6y=\frac{-20}{9}\\4x=6y+\frac{-62}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+2y=\frac{27}{35}\\4x=-2y+\frac{-162}{35}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x-3y=\frac{-27}{88}\\-3x-y=\frac{-623}{176}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+2y=\frac{931}{144}\\-6x+y=\frac{469}{72}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-3y=\frac{47}{33}\\-x-3y=\frac{361}{99}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+2y=\frac{422}{39}\\-x=4y+\frac{-103}{39}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+2y=\frac{-429}{76}\\-x=6y+\frac{489}{76}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-5y=\frac{41}{11}\\5x=y+\frac{17}{11}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{-6}{11})\}\)
2. \(\left\{\begin{matrix}-2y=\frac{-278}{153}-4x\\x-4y=\frac{277}{153}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},\frac{-11}{17})\}\)
3. \(\left\{\begin{matrix}4x-y=\frac{46}{5}\\-3x=4y+\frac{-6}{5}\end{matrix}\right.\qquad V=\{(2,\frac{-6}{5})\}\)
4. \(\left\{\begin{matrix}-3x+3y=\frac{301}{52}\\x=y+\frac{-301}{156}\end{matrix}\right.\qquad V=\{(\frac{-11}{13},\frac{13}{12})\}\)
5. \(\left\{\begin{matrix}-x+4y=\frac{59}{7}\\-4x=2y+\frac{128}{7}\end{matrix}\right.\qquad V=\{(-5,\frac{6}{7})\}\)
6. \(\left\{\begin{matrix}x-6y=\frac{-20}{9}\\4x=6y+\frac{-62}{9}\end{matrix}\right.\qquad V=\{(\frac{-14}{9},\frac{1}{9})\}\)
7. \(\left\{\begin{matrix}x+2y=\frac{27}{35}\\4x=-2y+\frac{-162}{35}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{9}{7})\}\)
8. \(\left\{\begin{matrix}2x-3y=\frac{-27}{88}\\-3x-y=\frac{-623}{176}\end{matrix}\right.\qquad V=\{(\frac{15}{16},\frac{8}{11})\}\)
9. \(\left\{\begin{matrix}-5x+2y=\frac{931}{144}\\-6x+y=\frac{469}{72}\end{matrix}\right.\qquad V=\{(\frac{-15}{16},\frac{8}{9})\}\)
10. \(\left\{\begin{matrix}-6x-3y=\frac{47}{33}\\-x-3y=\frac{361}{99}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{-15}{11})\}\)
11. \(\left\{\begin{matrix}2x+2y=\frac{422}{39}\\-x=4y+\frac{-103}{39}\end{matrix}\right.\qquad V=\{(\frac{19}{3},\frac{-12}{13})\}\)
12. \(\left\{\begin{matrix}5x+2y=\frac{-429}{76}\\-x=6y+\frac{489}{76}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-18}{19})\}\)