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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3y=\frac{-139}{20}-4x\\6x-y=\frac{-293}{60}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+3y=\frac{-1173}{20}\\-5x-y=\frac{-2009}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-2y=\frac{-15}{11}\\-3x+6y=\frac{21}{11}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+2y=\frac{359}{76}\\x+4y=\frac{-213}{76}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{544}{55}+2x\\3x-y=\frac{273}{55}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{-205}{9}-5x\\6x-y=\frac{-221}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+6y=\frac{109}{11}\\-2x=y+\frac{-13}{22}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-4y=\frac{-39}{4}\\2x=-4y+\frac{21}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+6y=\frac{68}{3}\\3x+y=0\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-6y=\frac{-81}{34}\\x=-5y+\frac{203}{68}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-2y=\frac{-13}{4}\\x-y=\frac{47}{40}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-6y=\frac{-200}{7}\\-4x=-y+\frac{436}{21}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3y=\frac{-139}{20}-4x\\6x-y=\frac{-293}{60}\end{matrix}\right.\qquad V=\{(\frac{-11}{20},\frac{19}{12})\}\)
2. \(\left\{\begin{matrix}-3x+3y=\frac{-1173}{20}\\-5x-y=\frac{-2009}{20}\end{matrix}\right.\qquad V=\{(20,\frac{9}{20})\}\)
3. \(\left\{\begin{matrix}-x-2y=\frac{-15}{11}\\-3x+6y=\frac{21}{11}\end{matrix}\right.\qquad V=\{(\frac{4}{11},\frac{1}{2})\}\)
4. \(\left\{\begin{matrix}-3x+2y=\frac{359}{76}\\x+4y=\frac{-213}{76}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},\frac{-5}{19})\}\)
5. \(\left\{\begin{matrix}-3y=\frac{544}{55}+2x\\3x-y=\frac{273}{55}\end{matrix}\right.\qquad V=\{(\frac{5}{11},\frac{-18}{5})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{-205}{9}-5x\\6x-y=\frac{-221}{9}\end{matrix}\right.\qquad V=\{(-4,\frac{5}{9})\}\)
7. \(\left\{\begin{matrix}-2x+6y=\frac{109}{11}\\-2x=y+\frac{-13}{22}\end{matrix}\right.\qquad V=\{(\frac{-5}{11},\frac{3}{2})\}\)
8. \(\left\{\begin{matrix}-x-4y=\frac{-39}{4}\\2x=-4y+\frac{21}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{9}{4})\}\)
9. \(\left\{\begin{matrix}6x+6y=\frac{68}{3}\\3x+y=0\end{matrix}\right.\qquad V=\{(\frac{-17}{9},\frac{17}{3})\}\)
10. \(\left\{\begin{matrix}-6x-6y=\frac{-81}{34}\\x=-5y+\frac{203}{68}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{11}{17})\}\)
11. \(\left\{\begin{matrix}-5x-2y=\frac{-13}{4}\\x-y=\frac{47}{40}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-3}{8})\}\)
12. \(\left\{\begin{matrix}6x-6y=\frac{-200}{7}\\-4x=-y+\frac{436}{21}\end{matrix}\right.\qquad V=\{(\frac{-16}{3},\frac{-4}{7})\}\)