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Substitutie of combinatie

1. \(\left\{\begin{matrix}2y=\frac{-41}{15}+2x\\-6x+y=\frac{-7}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+3y=\frac{-683}{187}\\x+y=\frac{260}{187}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+4y=\frac{23}{3}\\-5x=-y+\frac{83}{12}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{-66}{5}-6x\\x-4y=\frac{79}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x-5y=\frac{-100}{3}\\-x+y=\frac{1}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+2y=\frac{-417}{91}\\-2x=-y+\frac{474}{91}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+3y=-1\\-6x=y+\frac{-34}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{217}{13}-3x\\-x+y=\frac{-55}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+4y=\frac{71}{10}\\5x=-3y+\frac{-33}{10}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=\frac{78}{5}-6x\\x+y=\frac{-12}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-6y=\frac{223}{5}\\2x+y=\frac{-21}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x+4y=\frac{-164}{65}\\3x=y+\frac{2}{65}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2y=\frac{-41}{15}+2x\\-6x+y=\frac{-7}{10}\end{matrix}\right.\qquad V=\{(\frac{-2}{15},\frac{-3}{2})\}\)
2. \(\left\{\begin{matrix}-4x+3y=\frac{-683}{187}\\x+y=\frac{260}{187}\end{matrix}\right.\qquad V=\{(\frac{19}{17},\frac{3}{11})\}\)
3. \(\left\{\begin{matrix}-4x+4y=\frac{23}{3}\\-5x=-y+\frac{83}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{2}{3})\}\)
4. \(\left\{\begin{matrix}3y=\frac{-66}{5}-6x\\x-4y=\frac{79}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},-4)\}\)
5. \(\left\{\begin{matrix}-5x-5y=\frac{-100}{3}\\-x+y=\frac{1}{3}\end{matrix}\right.\qquad V=\{(\frac{19}{6},\frac{7}{2})\}\)
6. \(\left\{\begin{matrix}3x+2y=\frac{-417}{91}\\-2x=-y+\frac{474}{91}\end{matrix}\right.\qquad V=\{(\frac{-15}{7},\frac{12}{13})\}\)
7. \(\left\{\begin{matrix}-2x+3y=-1\\-6x=y+\frac{-34}{3}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{5}{6})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{217}{13}-3x\\-x+y=\frac{-55}{13}\end{matrix}\right.\qquad V=\{(\frac{3}{13},-4)\}\)
9. \(\left\{\begin{matrix}-x+4y=\frac{71}{10}\\5x=-3y+\frac{-33}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{7}{5})\}\)
10. \(\left\{\begin{matrix}-6y=\frac{78}{5}-6x\\x+y=\frac{-12}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{10},\frac{-5}{2})\}\)
11. \(\left\{\begin{matrix}-2x-6y=\frac{223}{5}\\2x+y=\frac{-21}{10}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{-17}{2})\}\)
12. \(\left\{\begin{matrix}-6x+4y=\frac{-164}{65}\\3x=y+\frac{2}{65}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-16}{13})\}\)