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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-6y=\frac{52}{3}\\3x+y=\frac{46}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x+y=\frac{79}{60}\\3x+6y=\frac{-7}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{49}{30}+6x\\x+y=\frac{-23}{60}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{5}{3}-4x\\5x-y=\frac{-31}{12}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-3y=-17\\-2x+y=\frac{17}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+y=\frac{1}{5}\\3x=-6y+\frac{36}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+4y=\frac{-34}{5}\\-4x=y+\frac{-14}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+5y=\frac{-46}{3}\\x-3y=\frac{15}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{-1314}{209}-6x\\x+y=\frac{-153}{209}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+2y=\frac{106}{77}\\x=4y+\frac{-454}{77}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{7}{10}-5x\\4x-6y=\frac{13}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{-41}{15}-3x\\-4x+4y=\frac{332}{45}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-6y=\frac{52}{3}\\3x+y=\frac{46}{9}\end{matrix}\right.\qquad V=\{(2,\frac{-8}{9})\}\)
2. \(\left\{\begin{matrix}-x+y=\frac{79}{60}\\3x+6y=\frac{-7}{2}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{1}{20})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{49}{30}+6x\\x+y=\frac{-23}{60}\end{matrix}\right.\qquad V=\{(\frac{-1}{20},\frac{-1}{3})\}\)
4. \(\left\{\begin{matrix}2y=\frac{5}{3}-4x\\5x-y=\frac{-31}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{4}{3})\}\)
5. \(\left\{\begin{matrix}6x-3y=-17\\-2x+y=\frac{17}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{20}{3})\}\)
6. \(\left\{\begin{matrix}-2x+y=\frac{1}{5}\\3x=-6y+\frac{36}{5}\end{matrix}\right.\qquad V=\{(\frac{2}{5},1)\}\)
7. \(\left\{\begin{matrix}-2x+4y=\frac{-34}{5}\\-4x=y+\frac{-14}{5}\end{matrix}\right.\qquad V=\{(1,\frac{-6}{5})\}\)
8. \(\left\{\begin{matrix}4x+5y=\frac{-46}{3}\\x-3y=\frac{15}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-8}{3})\}\)
9. \(\left\{\begin{matrix}3y=\frac{-1314}{209}-6x\\x+y=\frac{-153}{209}\end{matrix}\right.\qquad V=\{(\frac{-15}{11},\frac{12}{19})\}\)
10. \(\left\{\begin{matrix}-6x+2y=\frac{106}{77}\\x=4y+\frac{-454}{77}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{17}{11})\}\)
11. \(\left\{\begin{matrix}y=\frac{7}{10}-5x\\4x-6y=\frac{13}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{-3}{10})\}\)
12. \(\left\{\begin{matrix}-y=\frac{-41}{15}-3x\\-4x+4y=\frac{332}{45}\end{matrix}\right.\qquad V=\{(\frac{-4}{9},\frac{7}{5})\}\)