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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+6y=\frac{1059}{55}\\x=-6y+\frac{1319}{55}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+2y=\frac{-47}{5}\\6x=-y+\frac{-173}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{-292}{17}-5x\\x-4y=\frac{1068}{85}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{-14}{15}-2x\\-x+3y=\frac{29}{30}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x-4y=\frac{580}{57}\\x=-5y+\frac{-914}{57}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+6y=\frac{-63}{8}\\x-4y=\frac{9}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-5y=\frac{125}{6}\\x+5y=\frac{-275}{12}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-y=\frac{276}{91}\\-5x=-3y+\frac{-912}{91}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-2y=\frac{-188}{5}\\x+6y=\frac{597}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+4y=\frac{-28}{11}\\x+y=\frac{-7}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{-130}{7}+2x\\6x-2y=\frac{-170}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{135}{11}+5x\\-x-4y=\frac{-205}{33}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+6y=\frac{1059}{55}\\x=-6y+\frac{1319}{55}\end{matrix}\right.\qquad V=\{(\frac{13}{11},\frac{19}{5})\}\)
2. \(\left\{\begin{matrix}3x+2y=\frac{-47}{5}\\6x=-y+\frac{-173}{10}\end{matrix}\right.\qquad V=\{(\frac{-14}{5},\frac{-1}{2})\}\)
3. \(\left\{\begin{matrix}5y=\frac{-292}{17}-5x\\x-4y=\frac{1068}{85}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},\frac{-16}{5})\}\)
4. \(\left\{\begin{matrix}-4y=\frac{-14}{15}-2x\\-x+3y=\frac{29}{30}\end{matrix}\right.\qquad V=\{(\frac{8}{15},\frac{1}{2})\}\)
5. \(\left\{\begin{matrix}-5x-4y=\frac{580}{57}\\x=-5y+\frac{-914}{57}\end{matrix}\right.\qquad V=\{(\frac{12}{19},\frac{-10}{3})\}\)
6. \(\left\{\begin{matrix}3x+6y=\frac{-63}{8}\\x-4y=\frac{9}{4}\end{matrix}\right.\qquad V=\{(-1,\frac{-13}{16})\}\)
7. \(\left\{\begin{matrix}4x-5y=\frac{125}{6}\\x+5y=\frac{-275}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{12},\frac{-9}{2})\}\)
8. \(\left\{\begin{matrix}x-y=\frac{276}{91}\\-5x=-3y+\frac{-912}{91}\end{matrix}\right.\qquad V=\{(\frac{6}{13},\frac{-18}{7})\}\)
9. \(\left\{\begin{matrix}-4x-2y=\frac{-188}{5}\\x+6y=\frac{597}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{5},20)\}\)
10. \(\left\{\begin{matrix}4x+4y=\frac{-28}{11}\\x+y=\frac{-7}{11}\end{matrix}\right.\qquad V=\{(-2,\frac{15}{11})\}\)
11. \(\left\{\begin{matrix}-y=\frac{-130}{7}+2x\\6x-2y=\frac{-170}{7}\end{matrix}\right.\qquad V=\{(\frac{9}{7},16)\}\)
12. \(\left\{\begin{matrix}6y=\frac{135}{11}+5x\\-x-4y=\frac{-205}{33}\end{matrix}\right.\qquad V=\{(\frac{-5}{11},\frac{5}{3})\}\)