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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-6y=\frac{-153}{20}\\2x+y=\frac{23}{20}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+5y=\frac{1347}{238}\\4x=-6y+\frac{832}{119}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-3y=\frac{95}{44}\\6x+y=\frac{203}{44}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x+5y=\frac{295}{9}\\-x-2y=\frac{71}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+6y=\frac{-388}{63}\\-x-4y=\frac{142}{63}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-4y=\frac{176}{5}\\-x=-y+\frac{87}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{-691}{12}+x\\2x+4y=\frac{-221}{6}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+3y=\frac{157}{114}\\2x-3y=\frac{-31}{57}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-y=\frac{-63}{34}+2x\\5x-5y=\frac{645}{68}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x+y=\frac{7}{19}\\2x+4y=\frac{-10}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+3y=\frac{16}{3}\\-4x=y+\frac{-196}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-4y=\frac{-1}{45}\\4x=y+\frac{-41}{90}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-6y=\frac{-153}{20}\\2x+y=\frac{23}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{20},\frac{5}{4})\}\)
2. \(\left\{\begin{matrix}x+5y=\frac{1347}{238}\\4x=-6y+\frac{832}{119}\end{matrix}\right.\qquad V=\{(\frac{1}{14},\frac{19}{17})\}\)
3. \(\left\{\begin{matrix}4x-3y=\frac{95}{44}\\6x+y=\frac{203}{44}\end{matrix}\right.\qquad V=\{(\frac{8}{11},\frac{1}{4})\}\)
4. \(\left\{\begin{matrix}-5x+5y=\frac{295}{9}\\-x-2y=\frac{71}{9}\end{matrix}\right.\qquad V=\{(-7,\frac{-4}{9})\}\)
5. \(\left\{\begin{matrix}4x+6y=\frac{-388}{63}\\-x-4y=\frac{142}{63}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{-2}{7})\}\)
6. \(\left\{\begin{matrix}-6x-4y=\frac{176}{5}\\-x=-y+\frac{87}{10}\end{matrix}\right.\qquad V=\{(-7,\frac{17}{10})\}\)
7. \(\left\{\begin{matrix}6y=\frac{-691}{12}+x\\2x+4y=\frac{-221}{6}\end{matrix}\right.\qquad V=\{(\frac{7}{12},\frac{-19}{2})\}\)
8. \(\left\{\begin{matrix}-x+3y=\frac{157}{114}\\2x-3y=\frac{-31}{57}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{14}{19})\}\)
9. \(\left\{\begin{matrix}-y=\frac{-63}{34}+2x\\5x-5y=\frac{645}{68}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-11}{17})\}\)
10. \(\left\{\begin{matrix}x+y=\frac{7}{19}\\2x+4y=\frac{-10}{19}\end{matrix}\right.\qquad V=\{(1,\frac{-12}{19})\}\)
11. \(\left\{\begin{matrix}2x+3y=\frac{16}{3}\\-4x=y+\frac{-196}{9}\end{matrix}\right.\qquad V=\{(6,\frac{-20}{9})\}\)
12. \(\left\{\begin{matrix}-2x-4y=\frac{-1}{45}\\4x=y+\frac{-41}{90}\end{matrix}\right.\qquad V=\{(\frac{-1}{10},\frac{1}{18})\}\)