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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-6y=35\\x-y=\frac{31}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{-481}{11}+4x\\-x+3y=\frac{-521}{22}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2y=\frac{-827}{156}+5x\\-x-y=\frac{-43}{156}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{19}{132}+2x\\-5x+2y=\frac{43}{66}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-5y=-4\\-3x=-y+\frac{29}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{-61}{3}-4x\\x-y=\frac{-44}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+5y=\frac{-277}{24}\\x-5y=\frac{289}{24}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-6y=\frac{-183}{28}\\-2x=-y+\frac{-323}{56}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-4y=\frac{-838}{171}\\4x=2y+\frac{436}{171}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-5y=\frac{-115}{22}\\x=-3y+\frac{-41}{22}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{53}{30}+6x\\-x+6y=\frac{151}{60}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+6y=\frac{-48}{35}\\-2x=y+\frac{-32}{35}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-6y=35\\x-y=\frac{31}{3}\end{matrix}\right.\qquad V=\{(9,\frac{-4}{3})\}\)
2. \(\left\{\begin{matrix}6y=\frac{-481}{11}+4x\\-x+3y=\frac{-521}{22}\end{matrix}\right.\qquad V=\{(\frac{-20}{11},\frac{-17}{2})\}\)
3. \(\left\{\begin{matrix}-2y=\frac{-827}{156}+5x\\-x-y=\frac{-43}{156}\end{matrix}\right.\qquad V=\{(\frac{19}{12},\frac{-17}{13})\}\)
4. \(\left\{\begin{matrix}y=\frac{19}{132}+2x\\-5x+2y=\frac{43}{66}\end{matrix}\right.\qquad V=\{(\frac{-4}{11},\frac{-7}{12})\}\)
5. \(\left\{\begin{matrix}-6x-5y=-4\\-3x=-y+\frac{29}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{7}{5})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{-61}{3}-4x\\x-y=\frac{-44}{9}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{7}{18})\}\)
7. \(\left\{\begin{matrix}2x+5y=\frac{-277}{24}\\x-5y=\frac{289}{24}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{-19}{8})\}\)
8. \(\left\{\begin{matrix}-4x-6y=\frac{-183}{28}\\-2x=-y+\frac{-323}{56}\end{matrix}\right.\qquad V=\{(\frac{18}{7},\frac{-5}{8})\}\)
9. \(\left\{\begin{matrix}-x-4y=\frac{-838}{171}\\4x=2y+\frac{436}{171}\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{18}{19})\}\)
10. \(\left\{\begin{matrix}-5x-5y=\frac{-115}{22}\\x=-3y+\frac{-41}{22}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-16}{11})\}\)
11. \(\left\{\begin{matrix}6y=\frac{53}{30}+6x\\-x+6y=\frac{151}{60}\end{matrix}\right.\qquad V=\{(\frac{3}{20},\frac{4}{9})\}\)
12. \(\left\{\begin{matrix}4x+6y=\frac{-48}{35}\\-2x=y+\frac{-32}{35}\end{matrix}\right.\qquad V=\{(\frac{6}{7},\frac{-4}{5})\}\)