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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x-5y=\frac{-148}{57}\\-2x=3y+\frac{124}{57}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+y=\frac{226}{65}\\-5x+3y=\frac{-212}{39}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+2y=\frac{133}{4}\\x=y+\frac{87}{8}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{-11}{7}-5x\\-2x+y=\frac{8}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x-3y=\frac{-51}{40}\\-x+5y=\frac{157}{40}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+4y=\frac{167}{119}\\-4x=-3y+\frac{-151}{119}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x-y=\frac{36}{5}\\-3x=2y+\frac{-9}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+2y=\frac{-22}{15}\\-x=-y+\frac{31}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+y=\frac{-4}{5}\\4x+4y=\frac{29}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x-2y=\frac{7}{2}\\-x=-3y+\frac{35}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-3y=\frac{-69}{55}\\x=-y+\frac{23}{55}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=-173-5x\\x-y=-31\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x-5y=\frac{-148}{57}\\-2x=3y+\frac{124}{57}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{20}{19})\}\)
2. \(\left\{\begin{matrix}3x+y=\frac{226}{65}\\-5x+3y=\frac{-212}{39}\end{matrix}\right.\qquad V=\{(\frac{17}{15},\frac{1}{13})\}\)
3. \(\left\{\begin{matrix}3x+2y=\frac{133}{4}\\x=y+\frac{87}{8}\end{matrix}\right.\qquad V=\{(11,\frac{1}{8})\}\)
4. \(\left\{\begin{matrix}-4y=\frac{-11}{7}-5x\\-2x+y=\frac{8}{7}\end{matrix}\right.\qquad V=\{(-1,\frac{-6}{7})\}\)
5. \(\left\{\begin{matrix}3x-3y=\frac{-51}{40}\\-x+5y=\frac{157}{40}\end{matrix}\right.\qquad V=\{(\frac{9}{20},\frac{7}{8})\}\)
6. \(\left\{\begin{matrix}-x+4y=\frac{167}{119}\\-4x=-3y+\frac{-151}{119}\end{matrix}\right.\qquad V=\{(\frac{5}{7},\frac{9}{17})\}\)
7. \(\left\{\begin{matrix}3x-y=\frac{36}{5}\\-3x=2y+\frac{-9}{5}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{-9}{5})\}\)
8. \(\left\{\begin{matrix}2x+2y=\frac{-22}{15}\\-x=-y+\frac{31}{15}\end{matrix}\right.\qquad V=\{(\frac{-7}{5},\frac{2}{3})\}\)
9. \(\left\{\begin{matrix}-4x+y=\frac{-4}{5}\\4x+4y=\frac{29}{5}\end{matrix}\right.\qquad V=\{(\frac{9}{20},1)\}\)
10. \(\left\{\begin{matrix}-4x-2y=\frac{7}{2}\\-x=-3y+\frac{35}{6}\end{matrix}\right.\qquad V=\{(\frac{-19}{12},\frac{17}{12})\}\)
11. \(\left\{\begin{matrix}-3x-3y=\frac{-69}{55}\\x=-y+\frac{23}{55}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{-13}{11})\}\)
12. \(\left\{\begin{matrix}-6y=-173-5x\\x-y=-31\end{matrix}\right.\qquad V=\{(-13,18)\}\)