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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4y=\frac{-73}{3}-5x\\-2x+y=\frac{53}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4y=\frac{284}{57}-4x\\x-3y=\frac{167}{57}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6y=\frac{94}{5}-x\\-4x+2y=\frac{-68}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{33}{4}+4x\\x+y=\frac{-17}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-2y=\frac{-49}{6}\\5x=y+\frac{-47}{6}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-6y=\frac{-7}{5}\\-4x+y=\frac{-53}{30}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{500}{9}-4x\\-2x+6y=\frac{-76}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x-5y=\frac{63}{8}\\5x=-y+\frac{-17}{8}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{-53}{20}-2x\\-x-4y=\frac{37}{10}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+2y=\frac{-41}{7}\\3x+3y=\frac{129}{14}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-4y=\frac{-44}{9}\\x=-y+\frac{-5}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x-2y=\frac{6}{5}\\-x-5y=\frac{39}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4y=\frac{-73}{3}-5x\\-2x+y=\frac{53}{6}\end{matrix}\right.\qquad V=\{(\frac{-11}{3},\frac{3}{2})\}\)
2. \(\left\{\begin{matrix}4y=\frac{284}{57}-4x\\x-3y=\frac{167}{57}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-8}{19})\}\)
3. \(\left\{\begin{matrix}-6y=\frac{94}{5}-x\\-4x+2y=\frac{-68}{5}\end{matrix}\right.\qquad V=\{(2,\frac{-14}{5})\}\)
4. \(\left\{\begin{matrix}3y=\frac{33}{4}+4x\\x+y=\frac{-17}{4}\end{matrix}\right.\qquad V=\{(-3,\frac{-5}{4})\}\)
5. \(\left\{\begin{matrix}5x-2y=\frac{-49}{6}\\5x=y+\frac{-47}{6}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{1}{3})\}\)
6. \(\left\{\begin{matrix}6x-6y=\frac{-7}{5}\\-4x+y=\frac{-53}{30}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{9}{10})\}\)
7. \(\left\{\begin{matrix}-y=\frac{500}{9}-4x\\-2x+6y=\frac{-76}{3}\end{matrix}\right.\qquad V=\{(14,\frac{4}{9})\}\)
8. \(\left\{\begin{matrix}-3x-5y=\frac{63}{8}\\5x=-y+\frac{-17}{8}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{-3}{2})\}\)
9. \(\left\{\begin{matrix}3y=\frac{-53}{20}-2x\\-x-4y=\frac{37}{10}\end{matrix}\right.\qquad V=\{(\frac{1}{10},\frac{-19}{20})\}\)
10. \(\left\{\begin{matrix}-x+2y=\frac{-41}{7}\\3x+3y=\frac{129}{14}\end{matrix}\right.\qquad V=\{(4,\frac{-13}{14})\}\)
11. \(\left\{\begin{matrix}4x-4y=\frac{-44}{9}\\x=-y+\frac{-5}{9}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{1}{3})\}\)
12. \(\left\{\begin{matrix}2x-2y=\frac{6}{5}\\-x-5y=\frac{39}{5}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{-7}{5})\}\)