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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-3y=\frac{1}{3}\\-x=4y+\frac{-88}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x-4y=\frac{-318}{7}\\x+2y=\frac{239}{21}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=34-5x\\x-y=\frac{34}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-y=\frac{-593}{153}\\-6x+5y=\frac{805}{153}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+6y=\frac{45}{2}\\-x=-3y+\frac{39}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-y=\frac{-215}{44}\\4x-2y=\frac{-147}{22}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x+y=\frac{449}{14}\\2x=-2y+\frac{-111}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-2y=\frac{349}{80}\\-x=-5y+\frac{-13}{16}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-5y=\frac{-705}{76}\\2x+y=\frac{175}{38}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+3y=\frac{219}{85}\\-3x-y=\frac{-107}{85}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+6y=\frac{19}{7}\\3x=-y+\frac{-59}{42}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-5y=\frac{424}{221}\\-2x+3y=\frac{185}{221}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-3y=\frac{1}{3}\\-x=4y+\frac{-88}{9}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{19}{9})\}\)
2. \(\left\{\begin{matrix}-6x-4y=\frac{-318}{7}\\x+2y=\frac{239}{21}\end{matrix}\right.\qquad V=\{(\frac{17}{3},\frac{20}{7})\}\)
3. \(\left\{\begin{matrix}-5y=34-5x\\x-y=\frac{34}{5}\end{matrix}\right.\qquad V=\{(\frac{9}{5},-5)\}\)
4. \(\left\{\begin{matrix}-2x-y=\frac{-593}{153}\\-6x+5y=\frac{805}{153}\end{matrix}\right.\qquad V=\{(\frac{15}{17},\frac{19}{9})\}\)
5. \(\left\{\begin{matrix}-6x+6y=\frac{45}{2}\\-x=-3y+\frac{39}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},3)\}\)
6. \(\left\{\begin{matrix}3x-y=\frac{-215}{44}\\4x-2y=\frac{-147}{22}\end{matrix}\right.\qquad V=\{(\frac{-17}{11},\frac{1}{4})\}\)
7. \(\left\{\begin{matrix}-4x+y=\frac{449}{14}\\2x=-2y+\frac{-111}{7}\end{matrix}\right.\qquad V=\{(-8,\frac{1}{14})\}\)
8. \(\left\{\begin{matrix}-3x-2y=\frac{349}{80}\\-x=-5y+\frac{-13}{16}\end{matrix}\right.\qquad V=\{(\frac{-19}{16},\frac{-2}{5})\}\)
9. \(\left\{\begin{matrix}-5x-5y=\frac{-705}{76}\\2x+y=\frac{175}{38}\end{matrix}\right.\qquad V=\{(\frac{11}{4},\frac{-17}{19})\}\)
10. \(\left\{\begin{matrix}6x+3y=\frac{219}{85}\\-3x-y=\frac{-107}{85}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{1}{17})\}\)
11. \(\left\{\begin{matrix}5x+6y=\frac{19}{7}\\3x=-y+\frac{-59}{42}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{7}{6})\}\)
12. \(\left\{\begin{matrix}-x-5y=\frac{424}{221}\\-2x+3y=\frac{185}{221}\end{matrix}\right.\qquad V=\{(\frac{-13}{17},\frac{-3}{13})\}\)