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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-5y=\frac{-15}{7}\\-x-6y=\frac{-32}{35}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-6y=\frac{-39}{4}\\-2x=-y+\frac{65}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+6y=\frac{-345}{88}\\4x=y+\frac{-97}{22}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4y=\frac{388}{171}-2x\\-5x-y=\frac{245}{171}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-5y=\frac{26}{209}\\x-2y=\frac{-20}{209}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-2y=\frac{-232}{11}\\3x=-y+\frac{-126}{11}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-5y=\frac{-37}{9}\\6x-4y=\frac{154}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x-5y=\frac{265}{17}\\-5x+y=\frac{-26}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-y=\frac{-212}{9}\\-5x+2y=\frac{262}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=9+2x\\-x+5y=\frac{-7}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=2-x\\5x-4y=\frac{106}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x-y=\frac{-284}{17}\\-3x=5y+\frac{348}{17}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-5y=\frac{-15}{7}\\-x-6y=\frac{-32}{35}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{1}{5})\}\)
2. \(\left\{\begin{matrix}5x-6y=\frac{-39}{4}\\-2x=-y+\frac{65}{12}\end{matrix}\right.\qquad V=\{(\frac{-13}{4},\frac{-13}{12})\}\)
3. \(\left\{\begin{matrix}3x+6y=\frac{-345}{88}\\4x=y+\frac{-97}{22}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{-1}{11})\}\)
4. \(\left\{\begin{matrix}4y=\frac{388}{171}-2x\\-5x-y=\frac{245}{171}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{15}{19})\}\)
5. \(\left\{\begin{matrix}2x-5y=\frac{26}{209}\\x-2y=\frac{-20}{209}\end{matrix}\right.\qquad V=\{(\frac{-8}{11},\frac{-6}{19})\}\)
6. \(\left\{\begin{matrix}5x-2y=\frac{-232}{11}\\3x=-y+\frac{-126}{11}\end{matrix}\right.\qquad V=\{(-4,\frac{6}{11})\}\)
7. \(\left\{\begin{matrix}-x-5y=\frac{-37}{9}\\6x-4y=\frac{154}{9}\end{matrix}\right.\qquad V=\{(3,\frac{2}{9})\}\)
8. \(\left\{\begin{matrix}-2x-5y=\frac{265}{17}\\-5x+y=\frac{-26}{17}\end{matrix}\right.\qquad V=\{(\frac{-5}{17},-3)\}\)
9. \(\left\{\begin{matrix}4x-y=\frac{-212}{9}\\-5x+2y=\frac{262}{9}\end{matrix}\right.\qquad V=\{(-6,\frac{-4}{9})\}\)
10. \(\left\{\begin{matrix}-6y=9+2x\\-x+5y=\frac{-7}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},-1)\}\)
11. \(\left\{\begin{matrix}3y=2-x\\5x-4y=\frac{106}{3}\end{matrix}\right.\qquad V=\{(6,\frac{-4}{3})\}\)
12. \(\left\{\begin{matrix}2x-y=\frac{-284}{17}\\-3x=5y+\frac{348}{17}\end{matrix}\right.\qquad V=\{(-8,\frac{12}{17})\}\)