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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{124}{3}+4x\\-6x-y=\frac{638}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=37-3x\\-x+y=\frac{2}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x-6y=\frac{-29}{5}\\x=-y+\frac{22}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x+2y=\frac{420}{19}\\-x+5y=\frac{5}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-6y=\frac{-216}{35}\\x=-5y+\frac{-24}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{25}{7}-6x\\x+2y=\frac{79}{42}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-5y=\frac{107}{4}\\x+2y=\frac{-31}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{-17}{13}+6x\\2x+y=\frac{-45}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x-5y=\frac{254}{117}\\x-4y=\frac{619}{117}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{-592}{323}+2x\\x+4y=\frac{-844}{323}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5y=\frac{373}{35}+2x\\3x-y=\frac{51}{70}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-5y=\frac{103}{9}\\x=-y+\frac{-26}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{124}{3}+4x\\-6x-y=\frac{638}{9}\end{matrix}\right.\qquad V=\{(-12,\frac{10}{9})\}\)
2. \(\left\{\begin{matrix}6y=37-3x\\-x+y=\frac{2}{3}\end{matrix}\right.\qquad V=\{(\frac{11}{3},\frac{13}{3})\}\)
3. \(\left\{\begin{matrix}3x-6y=\frac{-29}{5}\\x=-y+\frac{22}{15}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{17}{15})\}\)
4. \(\left\{\begin{matrix}4x+2y=\frac{420}{19}\\-x+5y=\frac{5}{19}\end{matrix}\right.\qquad V=\{(5,\frac{20}{19})\}\)
5. \(\left\{\begin{matrix}6x-6y=\frac{-216}{35}\\x=-5y+\frac{-24}{7}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{-2}{5})\}\)
6. \(\left\{\begin{matrix}3y=\frac{25}{7}-6x\\x+2y=\frac{79}{42}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{6}{7})\}\)
7. \(\left\{\begin{matrix}-5x-5y=\frac{107}{4}\\x+2y=\frac{-31}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{-17}{20})\}\)
8. \(\left\{\begin{matrix}5y=\frac{-17}{13}+6x\\2x+y=\frac{-45}{13}\end{matrix}\right.\qquad V=\{(-1,\frac{-19}{13})\}\)
9. \(\left\{\begin{matrix}-4x-5y=\frac{254}{117}\\x-4y=\frac{619}{117}\end{matrix}\right.\qquad V=\{(\frac{11}{13},\frac{-10}{9})\}\)
10. \(\left\{\begin{matrix}2y=\frac{-592}{323}+2x\\x+4y=\frac{-844}{323}\end{matrix}\right.\qquad V=\{(\frac{4}{19},\frac{-12}{17})\}\)
11. \(\left\{\begin{matrix}5y=\frac{373}{35}+2x\\3x-y=\frac{51}{70}\end{matrix}\right.\qquad V=\{(\frac{11}{10},\frac{18}{7})\}\)
12. \(\left\{\begin{matrix}-2x-5y=\frac{103}{9}\\x=-y+\frac{-26}{9}\end{matrix}\right.\qquad V=\{(-1,\frac{-17}{9})\}\)