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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=\frac{128}{15}-x\\5x+5y=\frac{-22}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5y=\frac{-131}{45}-2x\\-x+2y=\frac{53}{45}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+6y=\frac{-138}{5}\\3x=-y+\frac{127}{5}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{416}{21}-4x\\5x+y=\frac{305}{42}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{176}{19}+x\\2x-4y=\frac{-352}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+y=8\\5x=6y+\frac{47}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+4y=\frac{-83}{90}\\-5x=3y+\frac{49}{6}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+4y=\frac{4}{3}\\3x=5y+\frac{33}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x-5y=\frac{141}{14}\\2x+3y=\frac{-479}{70}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+3y=-2\\4x-y=\frac{-23}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x+y=\frac{26}{3}\\-3x=2y+\frac{-37}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+2y=\frac{-13}{7}\\-5x=y+\frac{173}{28}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=\frac{128}{15}-x\\5x+5y=\frac{-22}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{-5}{3})\}\)
2. \(\left\{\begin{matrix}-5y=\frac{-131}{45}-2x\\-x+2y=\frac{53}{45}\end{matrix}\right.\qquad V=\{(\frac{-1}{15},\frac{5}{9})\}\)
3. \(\left\{\begin{matrix}-2x+6y=\frac{-138}{5}\\3x=-y+\frac{127}{5}\end{matrix}\right.\qquad V=\{(9,\frac{-8}{5})\}\)
4. \(\left\{\begin{matrix}5y=\frac{416}{21}-4x\\5x+y=\frac{305}{42}\end{matrix}\right.\qquad V=\{(\frac{11}{14},\frac{10}{3})\}\)
5. \(\left\{\begin{matrix}2y=\frac{176}{19}+x\\2x-4y=\frac{-352}{19}\end{matrix}\right.\qquad V=\{(\frac{14}{19},5)\}\)
6. \(\left\{\begin{matrix}6x+y=8\\5x=6y+\frac{47}{5}\end{matrix}\right.\qquad V=\{(\frac{7}{5},\frac{-2}{5})\}\)
7. \(\left\{\begin{matrix}-x+4y=\frac{-83}{90}\\-5x=3y+\frac{49}{6}\end{matrix}\right.\qquad V=\{(\frac{-13}{10},\frac{-5}{9})\}\)
8. \(\left\{\begin{matrix}x+4y=\frac{4}{3}\\3x=5y+\frac{33}{4}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{-1}{4})\}\)
9. \(\left\{\begin{matrix}-x-5y=\frac{141}{14}\\2x+3y=\frac{-479}{70}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{-19}{10})\}\)
10. \(\left\{\begin{matrix}6x+3y=-2\\4x-y=\frac{-23}{6}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{5}{6})\}\)
11. \(\left\{\begin{matrix}4x+y=\frac{26}{3}\\-3x=2y+\frac{-37}{3}\end{matrix}\right.\qquad V=\{(1,\frac{14}{3})\}\)
12. \(\left\{\begin{matrix}-4x+2y=\frac{-13}{7}\\-5x=y+\frac{173}{28}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-17}{7})\}\)