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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+4y=\frac{128}{91}\\-4x+y=\frac{95}{91}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-2y=\frac{-99}{16}\\6x+y=\frac{51}{8}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x+y=\frac{-361}{170}\\3x=5y+\frac{-23}{34}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+3y=\frac{1}{13}\\-4x+y=\frac{35}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-3y=\frac{1195}{143}\\x+3y=\frac{-571}{143}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+6y=\frac{171}{35}\\4x=y+\frac{3}{35}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{-19}{5}+4x\\-3x+6y=\frac{129}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{566}{11}+x\\-2x-5y=\frac{-925}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+4y=\frac{-54}{13}\\2x-y=\frac{-77}{26}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{17}{16}+3x\\5x+4y=\frac{-13}{8}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-4y=\frac{67}{20}\\-x=-3y+\frac{-123}{40}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+5y=\frac{-71}{7}\\-x-5y=\frac{221}{28}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+4y=\frac{128}{91}\\-4x+y=\frac{95}{91}\end{matrix}\right.\qquad V=\{(\frac{-2}{13},\frac{3}{7})\}\)
2. \(\left\{\begin{matrix}-5x-2y=\frac{-99}{16}\\6x+y=\frac{51}{8}\end{matrix}\right.\qquad V=\{(\frac{15}{16},\frac{3}{4})\}\)
3. \(\left\{\begin{matrix}-3x+y=\frac{-361}{170}\\3x=5y+\frac{-23}{34}\end{matrix}\right.\qquad V=\{(\frac{16}{17},\frac{7}{10})\}\)
4. \(\left\{\begin{matrix}-4x+3y=\frac{1}{13}\\-4x+y=\frac{35}{13}\end{matrix}\right.\qquad V=\{(-1,\frac{-17}{13})\}\)
5. \(\left\{\begin{matrix}-4x-3y=\frac{1195}{143}\\x+3y=\frac{-571}{143}\end{matrix}\right.\qquad V=\{(\frac{-16}{11},\frac{-11}{13})\}\)
6. \(\left\{\begin{matrix}3x+6y=\frac{171}{35}\\4x=y+\frac{3}{35}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{5}{7})\}\)
7. \(\left\{\begin{matrix}y=\frac{-19}{5}+4x\\-3x+6y=\frac{129}{10}\end{matrix}\right.\qquad V=\{(\frac{17}{10},3)\}\)
8. \(\left\{\begin{matrix}3y=\frac{566}{11}+x\\-2x-5y=\frac{-925}{11}\end{matrix}\right.\qquad V=\{(\frac{-5}{11},17)\}\)
9. \(\left\{\begin{matrix}5x+4y=\frac{-54}{13}\\2x-y=\frac{-77}{26}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},\frac{1}{2})\}\)
10. \(\left\{\begin{matrix}-y=\frac{17}{16}+3x\\5x+4y=\frac{-13}{8}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{1}{16})\}\)
11. \(\left\{\begin{matrix}2x-4y=\frac{67}{20}\\-x=-3y+\frac{-123}{40}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{-7}{5})\}\)
12. \(\left\{\begin{matrix}4x+5y=\frac{-71}{7}\\-x-5y=\frac{221}{28}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-10}{7})\}\)