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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-5y=\frac{-159}{10}\\x-y=\frac{-27}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{-9}{16}+5x\\x-y=\frac{119}{80}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+6y=\frac{488}{35}\\x-5y=\frac{-472}{35}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+5y=\frac{-49}{16}\\-3x+y=\frac{-133}{80}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+3y=\frac{-1395}{304}\\x=2y+\frac{145}{152}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-2y=\frac{155}{99}\\2x+y=\frac{236}{99}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+y=\frac{151}{21}\\2x=-6y+\frac{172}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-y=\frac{-124}{7}+6x\\4x+2y=\frac{80}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+4y=\frac{-73}{10}\\4x+y=-8\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+4y=\frac{-41}{16}\\4x+y=\frac{-17}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+2y=\frac{-335}{88}\\-x=-y+\frac{-5}{176}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-y=\frac{-205}{38}\\2x=-5y+\frac{142}{19}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-5y=\frac{-159}{10}\\x-y=\frac{-27}{10}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{7}{2})\}\)
2. \(\left\{\begin{matrix}-5y=\frac{-9}{16}+5x\\x-y=\frac{119}{80}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-11}{16})\}\)
3. \(\left\{\begin{matrix}-4x+6y=\frac{488}{35}\\x-5y=\frac{-472}{35}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{20}{7})\}\)
4. \(\left\{\begin{matrix}-3x+5y=\frac{-49}{16}\\-3x+y=\frac{-133}{80}\end{matrix}\right.\qquad V=\{(\frac{7}{16},\frac{-7}{20})\}\)
5. \(\left\{\begin{matrix}6x+3y=\frac{-1395}{304}\\x=2y+\frac{145}{152}\end{matrix}\right.\qquad V=\{(\frac{-8}{19},\frac{-11}{16})\}\)
6. \(\left\{\begin{matrix}2x-2y=\frac{155}{99}\\2x+y=\frac{236}{99}\end{matrix}\right.\qquad V=\{(\frac{19}{18},\frac{3}{11})\}\)
7. \(\left\{\begin{matrix}-4x+y=\frac{151}{21}\\2x=-6y+\frac{172}{7}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{13}{3})\}\)
8. \(\left\{\begin{matrix}-y=\frac{-124}{7}+6x\\4x+2y=\frac{80}{7}\end{matrix}\right.\qquad V=\{(3,\frac{-2}{7})\}\)
9. \(\left\{\begin{matrix}3x+4y=\frac{-73}{10}\\4x+y=-8\end{matrix}\right.\qquad V=\{(\frac{-19}{10},\frac{-2}{5})\}\)
10. \(\left\{\begin{matrix}-5x+4y=\frac{-41}{16}\\4x+y=\frac{-17}{4}\end{matrix}\right.\qquad V=\{(\frac{-11}{16},\frac{-3}{2})\}\)
11. \(\left\{\begin{matrix}-6x+2y=\frac{-335}{88}\\-x=-y+\frac{-5}{176}\end{matrix}\right.\qquad V=\{(\frac{15}{16},\frac{10}{11})\}\)
12. \(\left\{\begin{matrix}-3x-y=\frac{-205}{38}\\2x=-5y+\frac{142}{19}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{17}{19})\}\)