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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x-4y=\frac{156}{19}\\-x-y=\frac{58}{19}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{7}{10}+x\\3x+4y=\frac{-193}{30}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+3y=0\\-3x-4y=-15\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-4y=\frac{179}{42}\\-6x-4y=\frac{59}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{-373}{63}-2x\\3x-y=\frac{-1021}{126}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+y=\frac{283}{55}\\-6x-6y=\frac{102}{55}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{129}{7}+6x\\-x+6y=\frac{368}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{-2}{5}+6x\\3x+2y=\frac{53}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{927}{133}-6x\\-x+5y=\frac{-690}{133}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-3y=\frac{-87}{20}\\-6x-3y=\frac{-231}{10}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-3y=\frac{-28}{15}\\-2x=-y+\frac{19}{45}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x-4y=\frac{-14}{3}\\-4x=-y+\frac{119}{36}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x-4y=\frac{156}{19}\\-x-y=\frac{58}{19}\end{matrix}\right.\qquad V=\{(-2,\frac{-20}{19})\}\)
2. \(\left\{\begin{matrix}3y=\frac{7}{10}+x\\3x+4y=\frac{-193}{30}\end{matrix}\right.\qquad V=\{(\frac{-17}{10},\frac{-1}{3})\}\)
3. \(\left\{\begin{matrix}x+3y=0\\-3x-4y=-15\end{matrix}\right.\qquad V=\{(9,-3)\}\)
4. \(\left\{\begin{matrix}-x-4y=\frac{179}{42}\\-6x-4y=\frac{59}{7}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-6}{7})\}\)
5. \(\left\{\begin{matrix}-2y=\frac{-373}{63}-2x\\3x-y=\frac{-1021}{126}\end{matrix}\right.\qquad V=\{(\frac{-18}{7},\frac{7}{18})\}\)
6. \(\left\{\begin{matrix}-5x+y=\frac{283}{55}\\-6x-6y=\frac{102}{55}\end{matrix}\right.\qquad V=\{(\frac{-10}{11},\frac{3}{5})\}\)
7. \(\left\{\begin{matrix}3y=\frac{129}{7}+6x\\-x+6y=\frac{368}{7}\end{matrix}\right.\qquad V=\{(\frac{10}{7},9)\}\)
8. \(\left\{\begin{matrix}-y=\frac{-2}{5}+6x\\3x+2y=\frac{53}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{17}{5})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{927}{133}-6x\\-x+5y=\frac{-690}{133}\end{matrix}\right.\qquad V=\{(\frac{5}{7},\frac{-17}{19})\}\)
10. \(\left\{\begin{matrix}-x-3y=\frac{-87}{20}\\-6x-3y=\frac{-231}{10}\end{matrix}\right.\qquad V=\{(\frac{15}{4},\frac{1}{5})\}\)
11. \(\left\{\begin{matrix}-3x-3y=\frac{-28}{15}\\-2x=-y+\frac{19}{45}\end{matrix}\right.\qquad V=\{(\frac{1}{15},\frac{5}{9})\}\)
12. \(\left\{\begin{matrix}-6x-4y=\frac{-14}{3}\\-4x=-y+\frac{119}{36}\end{matrix}\right.\qquad V=\{(\frac{-7}{18},\frac{7}{4})\}\)