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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+6y=\frac{274}{33}\\-2x=-y+\frac{-79}{33}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{444}{35}-6x\\x-2y=\frac{-277}{70}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=-8-x\\-2x+6y=16\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-y=\frac{67}{3}\\-5x=2y+\frac{-109}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x+5y=\frac{-119}{6}\\-5x-y=\frac{-451}{30}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{110}{7}+4x\\x+6y=\frac{-736}{35}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+4y=\frac{401}{9}\\-x+4y=\frac{-139}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-5y=\frac{-109}{6}\\-x+2y=\frac{143}{30}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+3y=\frac{43}{2}\\-4x=-y+\frac{3}{2}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x+6y=\frac{1205}{187}\\-2x=-3y+\frac{905}{187}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{39}{20}+x\\5x+3y=\frac{-23}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-y=\frac{12}{5}\\4x=-5y+\frac{-59}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+6y=\frac{274}{33}\\-2x=-y+\frac{-79}{33}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{3}{11})\}\)
2. \(\left\{\begin{matrix}3y=\frac{444}{35}-6x\\x-2y=\frac{-277}{70}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{17}{7})\}\)
3. \(\left\{\begin{matrix}-3y=-8-x\\-2x+6y=16\end{matrix}\right.\qquad V=\{(1,3)\}\)
4. \(\left\{\begin{matrix}2x-y=\frac{67}{3}\\-5x=2y+\frac{-109}{3}\end{matrix}\right.\qquad V=\{(9,\frac{-13}{3})\}\)
5. \(\left\{\begin{matrix}-5x+5y=\frac{-119}{6}\\-5x-y=\frac{-451}{30}\end{matrix}\right.\qquad V=\{(\frac{19}{6},\frac{-4}{5})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{110}{7}+4x\\x+6y=\frac{-736}{35}\end{matrix}\right.\qquad V=\{(\frac{4}{7},\frac{-18}{5})\}\)
7. \(\left\{\begin{matrix}3x+4y=\frac{401}{9}\\-x+4y=\frac{-139}{9}\end{matrix}\right.\qquad V=\{(15,\frac{-1}{9})\}\)
8. \(\left\{\begin{matrix}-5x-5y=\frac{-109}{6}\\-x+2y=\frac{143}{30}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{14}{5})\}\)
9. \(\left\{\begin{matrix}5x+3y=\frac{43}{2}\\-4x=-y+\frac{3}{2}\end{matrix}\right.\qquad V=\{(1,\frac{11}{2})\}\)
10. \(\left\{\begin{matrix}x+6y=\frac{1205}{187}\\-2x=-3y+\frac{905}{187}\end{matrix}\right.\qquad V=\{(\frac{-11}{17},\frac{13}{11})\}\)
11. \(\left\{\begin{matrix}-y=\frac{39}{20}+x\\5x+3y=\frac{-23}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{20},-2)\}\)
12. \(\left\{\begin{matrix}-3x-y=\frac{12}{5}\\4x=-5y+\frac{-59}{15}\end{matrix}\right.\qquad V=\{(\frac{-11}{15},\frac{-1}{5})\}\)