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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{71}{6}-6x\\3x+y=\frac{109}{36}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x-3y=\frac{299}{5}\\x+y=\frac{-292}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{-8}{7}-6x\\6x+y=\frac{-65}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=\frac{-969}{8}+3x\\-x+y=\frac{157}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{43}{2}-x\\2x+3y=\frac{41}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+y=\frac{1}{2}\\-4x+4y=\frac{26}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+4y=\frac{-65}{4}\\5x-6y=\frac{101}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{78}{7}-x\\-4x+2y=\frac{108}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-y=\frac{-12}{5}\\-6x+2y=\frac{28}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{-91}{20}+4x\\3x-5y=\frac{47}{20}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{30}{7}-2x\\-x-y=\frac{-8}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-3y=\frac{219}{170}\\-4x-y=\frac{11}{85}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{71}{6}-6x\\3x+y=\frac{109}{36}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-13}{18})\}\)
2. \(\left\{\begin{matrix}-6x-3y=\frac{299}{5}\\x+y=\frac{-292}{15}\end{matrix}\right.\qquad V=\{(\frac{-7}{15},-19)\}\)
3. \(\left\{\begin{matrix}4y=\frac{-8}{7}-6x\\6x+y=\frac{-65}{7}\end{matrix}\right.\qquad V=\{(-2,\frac{19}{7})\}\)
4. \(\left\{\begin{matrix}-6y=\frac{-969}{8}+3x\\-x+y=\frac{157}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{8},20)\}\)
5. \(\left\{\begin{matrix}3y=\frac{43}{2}-x\\2x+3y=\frac{41}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{15}{2})\}\)
6. \(\left\{\begin{matrix}-5x+y=\frac{1}{2}\\-4x+4y=\frac{26}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{3}{2})\}\)
7. \(\left\{\begin{matrix}-x+4y=\frac{-65}{4}\\5x-6y=\frac{101}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{4},-4)\}\)
8. \(\left\{\begin{matrix}y=\frac{78}{7}-x\\-4x+2y=\frac{108}{7}\end{matrix}\right.\qquad V=\{(\frac{8}{7},10)\}\)
9. \(\left\{\begin{matrix}x-y=\frac{-12}{5}\\-6x+2y=\frac{28}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{11}{5})\}\)
10. \(\left\{\begin{matrix}y=\frac{-91}{20}+4x\\3x-5y=\frac{47}{20}\end{matrix}\right.\qquad V=\{(\frac{6}{5},\frac{1}{4})\}\)
11. \(\left\{\begin{matrix}6y=\frac{30}{7}-2x\\-x-y=\frac{-8}{7}\end{matrix}\right.\qquad V=\{(\frac{9}{14},\frac{1}{2})\}\)
12. \(\left\{\begin{matrix}-3x-3y=\frac{219}{170}\\-4x-y=\frac{11}{85}\end{matrix}\right.\qquad V=\{(\frac{1}{10},\frac{-9}{17})\}\)