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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x+6y=\frac{121}{3}\\-5x-y=\frac{-79}{18}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{155}{19}+5x\\x-4y=\frac{61}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2y=18+4x\\5x+y=-26\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+3y=4\\x-2y=\frac{-35}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-3y=\frac{11}{4}\\x+3y=\frac{139}{60}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-y=\frac{127}{10}\\-2x+2y=\frac{13}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x-2y=\frac{-228}{11}\\-x=6y+\frac{148}{33}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-y=\frac{51}{5}\\-4x-3y=\frac{-71}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=\frac{-109}{21}+2x\\x+y=\frac{109}{42}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+5y=\frac{-186}{91}\\3x=-y+\frac{677}{182}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-2y=-37\\-2x-y=\frac{-23}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-5y=-13\\-x+y=4\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x+6y=\frac{121}{3}\\-5x-y=\frac{-79}{18}\end{matrix}\right.\qquad V=\{(\frac{-7}{18},\frac{19}{3})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{155}{19}+5x\\x-4y=\frac{61}{19}\end{matrix}\right.\qquad V=\{(-1,\frac{-20}{19})\}\)
3. \(\left\{\begin{matrix}2y=18+4x\\5x+y=-26\end{matrix}\right.\qquad V=\{(-5,-1)\}\)
4. \(\left\{\begin{matrix}-2x+3y=4\\x-2y=\frac{-35}{13}\end{matrix}\right.\qquad V=\{(\frac{1}{13},\frac{18}{13})\}\)
5. \(\left\{\begin{matrix}3x-3y=\frac{11}{4}\\x+3y=\frac{139}{60}\end{matrix}\right.\qquad V=\{(\frac{19}{15},\frac{7}{20})\}\)
6. \(\left\{\begin{matrix}-6x-y=\frac{127}{10}\\-2x+2y=\frac{13}{5}\end{matrix}\right.\qquad V=\{(-2,\frac{-7}{10})\}\)
7. \(\left\{\begin{matrix}3x-2y=\frac{-228}{11}\\-x=6y+\frac{148}{33}\end{matrix}\right.\qquad V=\{(\frac{-20}{3},\frac{4}{11})\}\)
8. \(\left\{\begin{matrix}4x-y=\frac{51}{5}\\-4x-3y=\frac{-71}{5}\end{matrix}\right.\qquad V=\{(\frac{14}{5},1)\}\)
9. \(\left\{\begin{matrix}-2y=\frac{-109}{21}+2x\\x+y=\frac{109}{42}\end{matrix}\right.\qquad V=\{(\frac{19}{6},\frac{-4}{7})\}\)
10. \(\left\{\begin{matrix}-2x+5y=\frac{-186}{91}\\3x=-y+\frac{677}{182}\end{matrix}\right.\qquad V=\{(\frac{17}{14},\frac{1}{13})\}\)
11. \(\left\{\begin{matrix}5x-2y=-37\\-2x-y=\frac{-23}{10}\end{matrix}\right.\qquad V=\{(\frac{-18}{5},\frac{19}{2})\}\)
12. \(\left\{\begin{matrix}-2x-5y=-13\\-x+y=4\end{matrix}\right.\qquad V=\{(-1,3)\}\)