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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-y=\frac{443}{35}\\2x=5y+\frac{-37}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+6y=\frac{-352}{3}\\x-3y=\frac{548}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+4y=\frac{-7}{10}\\4x-y=\frac{-19}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-2y=\frac{91}{6}\\-6x=-y+\frac{1}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+3y=\frac{-58}{3}\\x=5y+\frac{97}{18}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+y=\frac{508}{33}\\5x=-2y+\frac{-557}{33}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=\frac{-282}{19}+6x\\-x-2y=\frac{-104}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-5y=-31\\-5x=-y+\frac{97}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+5y=\frac{73}{12}\\x=y+\frac{1}{180}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+y=\frac{-70}{19}\\-4x=-6y+\frac{156}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{-21}{17}+4x\\2x-y=\frac{-49}{17}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+6y=\frac{17}{2}\\-3x=y+\frac{29}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-y=\frac{443}{35}\\2x=5y+\frac{-37}{7}\end{matrix}\right.\qquad V=\{(\frac{-15}{7},\frac{1}{5})\}\)
2. \(\left\{\begin{matrix}3x+6y=\frac{-352}{3}\\x-3y=\frac{548}{9}\end{matrix}\right.\qquad V=\{(\frac{8}{9},-20)\}\)
3. \(\left\{\begin{matrix}2x+4y=\frac{-7}{10}\\4x-y=\frac{-19}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-1}{20})\}\)
4. \(\left\{\begin{matrix}-3x-2y=\frac{91}{6}\\-6x=-y+\frac{1}{3}\end{matrix}\right.\qquad V=\{(\frac{-19}{18},-6)\}\)
5. \(\left\{\begin{matrix}4x+3y=\frac{-58}{3}\\x=5y+\frac{97}{18}\end{matrix}\right.\qquad V=\{(\frac{-7}{2},\frac{-16}{9})\}\)
6. \(\left\{\begin{matrix}-4x+y=\frac{508}{33}\\5x=-2y+\frac{-557}{33}\end{matrix}\right.\qquad V=\{(\frac{-11}{3},\frac{8}{11})\}\)
7. \(\left\{\begin{matrix}-6y=\frac{-282}{19}+6x\\-x-2y=\frac{-104}{19}\end{matrix}\right.\qquad V=\{(\frac{-10}{19},3)\}\)
8. \(\left\{\begin{matrix}6x-5y=-31\\-5x=-y+\frac{97}{4}\end{matrix}\right.\qquad V=\{(\frac{-19}{4},\frac{1}{2})\}\)
9. \(\left\{\begin{matrix}6x+5y=\frac{73}{12}\\x=y+\frac{1}{180}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{11}{20})\}\)
10. \(\left\{\begin{matrix}-6x+y=\frac{-70}{19}\\-4x=-6y+\frac{156}{19}\end{matrix}\right.\qquad V=\{(\frac{18}{19},2)\}\)
11. \(\left\{\begin{matrix}-5y=\frac{-21}{17}+4x\\2x-y=\frac{-49}{17}\end{matrix}\right.\qquad V=\{(\frac{-16}{17},1)\}\)
12. \(\left\{\begin{matrix}2x+6y=\frac{17}{2}\\-3x=y+\frac{29}{4}\end{matrix}\right.\qquad V=\{(\frac{-13}{4},\frac{5}{2})\}\)