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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-3y=\frac{111}{35}\\x=4y+\frac{821}{70}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x-6y=\frac{48}{5}\\3x=-y+\frac{-4}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-2y=\frac{234}{19}\\-4x=y+\frac{-548}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{-193}{4}+3x\\-6x-4y=-97\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-2y=\frac{-349}{19}\\-x=-5y+\frac{1811}{38}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+6y=\frac{-5}{36}\\4x+y=\frac{-119}{72}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{-17}{5}+4x\\x-2y=\frac{-26}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+3y=\frac{377}{30}\\2x=y+\frac{1}{30}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{164}{7}-6x\\-x-y=\frac{-46}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x+y=\frac{229}{120}\\5x=4y+\frac{569}{120}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+4y=\frac{-68}{65}\\6x-y=\frac{-529}{65}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+2y=\frac{58}{51}\\-x-5y=\frac{-625}{51}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-3y=\frac{111}{35}\\x=4y+\frac{821}{70}\end{matrix}\right.\qquad V=\{(\frac{-15}{14},\frac{-16}{5})\}\)
2. \(\left\{\begin{matrix}-6x-6y=\frac{48}{5}\\3x=-y+\frac{-4}{5}\end{matrix}\right.\qquad V=\{(\frac{2}{5},-2)\}\)
3. \(\left\{\begin{matrix}2x-2y=\frac{234}{19}\\-4x=y+\frac{-548}{19}\end{matrix}\right.\qquad V=\{(7,\frac{16}{19})\}\)
4. \(\left\{\begin{matrix}-y=\frac{-193}{4}+3x\\-6x-4y=-97\end{matrix}\right.\qquad V=\{(16,\frac{1}{4})\}\)
5. \(\left\{\begin{matrix}-4x-2y=\frac{-349}{19}\\-x=-5y+\frac{1811}{38}\end{matrix}\right.\qquad V=\{(\frac{-3}{19},\frac{19}{2})\}\)
6. \(\left\{\begin{matrix}2x+6y=\frac{-5}{36}\\4x+y=\frac{-119}{72}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{1}{8})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{-17}{5}+4x\\x-2y=\frac{-26}{5}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{11}{5})\}\)
8. \(\left\{\begin{matrix}4x+3y=\frac{377}{30}\\2x=y+\frac{1}{30}\end{matrix}\right.\qquad V=\{(\frac{19}{15},\frac{5}{2})\}\)
9. \(\left\{\begin{matrix}4y=\frac{164}{7}-6x\\-x-y=\frac{-46}{7}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},8)\}\)
10. \(\left\{\begin{matrix}x+y=\frac{229}{120}\\5x=4y+\frac{569}{120}\end{matrix}\right.\qquad V=\{(\frac{11}{8},\frac{8}{15})\}\)
11. \(\left\{\begin{matrix}-3x+4y=\frac{-68}{65}\\6x-y=\frac{-529}{65}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{-19}{13})\}\)
12. \(\left\{\begin{matrix}-6x+2y=\frac{58}{51}\\-x-5y=\frac{-625}{51}\end{matrix}\right.\qquad V=\{(\frac{10}{17},\frac{7}{3})\}\)