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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{-392}{45}+2x\\-x-4y=\frac{203}{45}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-5y=\frac{479}{24}\\x=-y+\frac{-109}{24}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{-198}{13}-x\\-3x-4y=\frac{573}{13}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+y=\frac{113}{19}\\-4x-5y=\frac{81}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-3y=\frac{37}{15}\\x+3y=\frac{-157}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-6y=\frac{-1}{3}\\-2x=-y+\frac{71}{18}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+3y=\frac{515}{51}\\x+y=\frac{115}{51}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x-y=\frac{135}{14}\\2x=-5y+\frac{-40}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{-36}{55}-x\\2x-2y=\frac{291}{55}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{77}{12}-2x\\-5x-y=\frac{-115}{24}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+5y=\frac{-446}{7}\\x-3y=\frac{537}{14}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+2y=\frac{66}{35}\\-2x=-2y+\frac{-18}{35}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{-392}{45}+2x\\-x-4y=\frac{203}{45}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{-19}{15})\}\)
2. \(\left\{\begin{matrix}-3x-5y=\frac{479}{24}\\x=-y+\frac{-109}{24}\end{matrix}\right.\qquad V=\{(\frac{-11}{8},\frac{-19}{6})\}\)
3. \(\left\{\begin{matrix}-y=\frac{-198}{13}-x\\-3x-4y=\frac{573}{13}\end{matrix}\right.\qquad V=\{(-15,\frac{3}{13})\}\)
4. \(\left\{\begin{matrix}-6x+y=\frac{113}{19}\\-4x-5y=\frac{81}{19}\end{matrix}\right.\qquad V=\{(-1,\frac{-1}{19})\}\)
5. \(\left\{\begin{matrix}2x-3y=\frac{37}{15}\\x+3y=\frac{-157}{15}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{-13}{5})\}\)
6. \(\left\{\begin{matrix}-2x-6y=\frac{-1}{3}\\-2x=-y+\frac{71}{18}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{11}{18})\}\)
7. \(\left\{\begin{matrix}5x+3y=\frac{515}{51}\\x+y=\frac{115}{51}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{10}{17})\}\)
8. \(\left\{\begin{matrix}3x-y=\frac{135}{14}\\2x=-5y+\frac{-40}{7}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-15}{7})\}\)
9. \(\left\{\begin{matrix}2y=\frac{-36}{55}-x\\2x-2y=\frac{291}{55}\end{matrix}\right.\qquad V=\{(\frac{17}{11},\frac{-11}{10})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{77}{12}-2x\\-5x-y=\frac{-115}{24}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-15}{8})\}\)
11. \(\left\{\begin{matrix}-2x+5y=\frac{-446}{7}\\x-3y=\frac{537}{14}\end{matrix}\right.\qquad V=\{(\frac{-9}{14},-13)\}\)
12. \(\left\{\begin{matrix}-x+2y=\frac{66}{35}\\-2x=-2y+\frac{-18}{35}\end{matrix}\right.\qquad V=\{(\frac{12}{5},\frac{15}{7})\}\)