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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+5y=\frac{152}{3}\\x-2y=\frac{-128}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-4y=\frac{-7}{44}\\-2x=-y+\frac{169}{66}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x+2y=\frac{12}{7}\\-x=-2y+\frac{8}{21}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+3y=\frac{-82}{15}\\-x=3y+\frac{191}{30}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{144}{17}-2x\\-4x+y=\frac{-398}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+3y=\frac{-53}{90}\\4x+5y=\frac{4}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-3y=\frac{211}{70}\\3x+y=\frac{-37}{70}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{-237}{10}+3x\\-3x-5y=\frac{-51}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-6y=\frac{-117}{10}\\-x+3y=\frac{73}{20}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x-4y=\frac{48}{7}\\-x-y=\frac{12}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-5y=\frac{-139}{13}\\4x=y+\frac{32}{13}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+2y=\frac{124}{35}\\-x=y+\frac{-104}{35}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+5y=\frac{152}{3}\\x-2y=\frac{-128}{9}\end{matrix}\right.\qquad V=\{(\frac{16}{9},8)\}\)
2. \(\left\{\begin{matrix}-3x-4y=\frac{-7}{44}\\-2x=-y+\frac{169}{66}\end{matrix}\right.\qquad V=\{(\frac{-11}{12},\frac{8}{11})\}\)
3. \(\left\{\begin{matrix}-3x+2y=\frac{12}{7}\\-x=-2y+\frac{8}{21}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-1}{7})\}\)
4. \(\left\{\begin{matrix}4x+3y=\frac{-82}{15}\\-x=3y+\frac{191}{30}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{-20}{9})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{144}{17}-2x\\-4x+y=\frac{-398}{17}\end{matrix}\right.\qquad V=\{(6,\frac{10}{17})\}\)
6. \(\left\{\begin{matrix}x+3y=\frac{-53}{90}\\4x+5y=\frac{4}{9}\end{matrix}\right.\qquad V=\{(\frac{11}{18},\frac{-2}{5})\}\)
7. \(\left\{\begin{matrix}-5x-3y=\frac{211}{70}\\3x+y=\frac{-37}{70}\end{matrix}\right.\qquad V=\{(\frac{5}{14},\frac{-8}{5})\}\)
8. \(\left\{\begin{matrix}y=\frac{-237}{10}+3x\\-3x-5y=\frac{-51}{2}\end{matrix}\right.\qquad V=\{(8,\frac{3}{10})\}\)
9. \(\left\{\begin{matrix}-6x-6y=\frac{-117}{10}\\-x+3y=\frac{73}{20}\end{matrix}\right.\qquad V=\{(\frac{11}{20},\frac{7}{5})\}\)
10. \(\left\{\begin{matrix}-4x-4y=\frac{48}{7}\\-x-y=\frac{12}{7}\end{matrix}\right.\qquad V=\{(-1,\frac{-5}{7})\}\)
11. \(\left\{\begin{matrix}-3x-5y=\frac{-139}{13}\\4x=y+\frac{32}{13}\end{matrix}\right.\qquad V=\{(1,\frac{20}{13})\}\)
12. \(\left\{\begin{matrix}-4x+2y=\frac{124}{35}\\-x=y+\frac{-104}{35}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{18}{7})\}\)