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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2x+y=\frac{23}{5}\\-5x+6y=\frac{68}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-y=\frac{67}{30}\\3x=-5y+\frac{79}{30}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{177}{11}-6x\\3x+y=\frac{161}{22}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4y=-3+2x\\4x+y=\frac{69}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{-75}{38}+3x\\-x-6y=\frac{-60}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-5y=\frac{-367}{171}\\-x=-y+\frac{122}{171}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+6y=\frac{-79}{30}\\4x=-6y+\frac{-77}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{9}{8}+3x\\-6x-y=11\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+y=\frac{167}{63}\\-3x=3y+\frac{113}{21}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5y=\frac{-221}{14}+6x\\-5x-y=\frac{-677}{70}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-2y=\frac{-89}{12}\\3x+6y=\frac{127}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-4y=\frac{-26}{3}\\-x=y+2\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2x+y=\frac{23}{5}\\-5x+6y=\frac{68}{5}\end{matrix}\right.\qquad V=\{(-2,\frac{3}{5})\}\)
2. \(\left\{\begin{matrix}4x-y=\frac{67}{30}\\3x=-5y+\frac{79}{30}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{1}{6})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{177}{11}-6x\\3x+y=\frac{161}{22}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-2}{11})\}\)
4. \(\left\{\begin{matrix}4y=-3+2x\\4x+y=\frac{69}{4}\end{matrix}\right.\qquad V=\{(4,\frac{5}{4})\}\)
5. \(\left\{\begin{matrix}-3y=\frac{-75}{38}+3x\\-x-6y=\frac{-60}{19}\end{matrix}\right.\qquad V=\{(\frac{3}{19},\frac{1}{2})\}\)
6. \(\left\{\begin{matrix}-4x-5y=\frac{-367}{171}\\-x=-y+\frac{122}{171}\end{matrix}\right.\qquad V=\{(\frac{-3}{19},\frac{5}{9})\}\)
7. \(\left\{\begin{matrix}x+6y=\frac{-79}{30}\\4x=-6y+\frac{-77}{15}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-3}{10})\}\)
8. \(\left\{\begin{matrix}3y=\frac{9}{8}+3x\\-6x-y=11\end{matrix}\right.\qquad V=\{(\frac{-13}{8},\frac{-5}{4})\}\)
9. \(\left\{\begin{matrix}-x+y=\frac{167}{63}\\-3x=3y+\frac{113}{21}\end{matrix}\right.\qquad V=\{(\frac{-20}{9},\frac{3}{7})\}\)
10. \(\left\{\begin{matrix}-5y=\frac{-221}{14}+6x\\-5x-y=\frac{-677}{70}\end{matrix}\right.\qquad V=\{(\frac{12}{7},\frac{11}{10})\}\)
11. \(\left\{\begin{matrix}x-2y=\frac{-89}{12}\\3x+6y=\frac{127}{4}\end{matrix}\right.\qquad V=\{(\frac{19}{12},\frac{9}{2})\}\)
12. \(\left\{\begin{matrix}6x-4y=\frac{-26}{3}\\-x=y+2\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-1}{3})\}\)