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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{-59}{3}-4x\\-x-6y=\frac{-301}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+y=\frac{-75}{8}\\-4x=6y+\frac{-27}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-y=\frac{-667}{144}\\-3x=-6y+\frac{-133}{24}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{549}{77}+4x\\5x-5y=\frac{-755}{77}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x+6y=\frac{-53}{7}\\-4x=-y+\frac{-69}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x+4y=\frac{-34}{13}\\-6x=-y+\frac{5}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+6y=\frac{-161}{52}\\-5x-4y=\frac{-261}{52}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-6y=\frac{16}{33}\\6x+y=\frac{-776}{99}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{268}{133}+4x\\4x+y=\frac{-408}{133}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=74+3x\\x-y=\frac{16}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-4y=\frac{6}{55}\\x+4y=\frac{93}{55}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=-4-3x\\-5x+6y=\frac{9}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{-59}{3}-4x\\-x-6y=\frac{-301}{12}\end{matrix}\right.\qquad V=\{(\frac{13}{12},4)\}\)
2. \(\left\{\begin{matrix}-4x+y=\frac{-75}{8}\\-4x=6y+\frac{-27}{4}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{-3}{8})\}\)
3. \(\left\{\begin{matrix}-2x-y=\frac{-667}{144}\\-3x=-6y+\frac{-133}{24}\end{matrix}\right.\qquad V=\{(\frac{20}{9},\frac{3}{16})\}\)
4. \(\left\{\begin{matrix}-y=\frac{549}{77}+4x\\5x-5y=\frac{-755}{77}\end{matrix}\right.\qquad V=\{(\frac{-20}{11},\frac{1}{7})\}\)
5. \(\left\{\begin{matrix}-5x+6y=\frac{-53}{7}\\-4x=-y+\frac{-69}{7}\end{matrix}\right.\qquad V=\{(\frac{19}{7},1)\}\)
6. \(\left\{\begin{matrix}-6x+4y=\frac{-34}{13}\\-6x=-y+\frac{5}{13}\end{matrix}\right.\qquad V=\{(\frac{-3}{13},-1)\}\)
7. \(\left\{\begin{matrix}-x+6y=\frac{-161}{52}\\-5x-4y=\frac{-261}{52}\end{matrix}\right.\qquad V=\{(\frac{5}{4},\frac{-4}{13})\}\)
8. \(\left\{\begin{matrix}-4x-6y=\frac{16}{33}\\6x+y=\frac{-776}{99}\end{matrix}\right.\qquad V=\{(\frac{-16}{11},\frac{8}{9})\}\)
9. \(\left\{\begin{matrix}4y=\frac{268}{133}+4x\\4x+y=\frac{-408}{133}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},\frac{-4}{19})\}\)
10. \(\left\{\begin{matrix}-6y=74+3x\\x-y=\frac{16}{3}\end{matrix}\right.\qquad V=\{(\frac{-14}{3},-10)\}\)
11. \(\left\{\begin{matrix}2x-4y=\frac{6}{55}\\x+4y=\frac{93}{55}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{3}{11})\}\)
12. \(\left\{\begin{matrix}-y=-4-3x\\-5x+6y=\frac{9}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-1}{2})\}\)