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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{384}{143}+3x\\3x+y=\frac{656}{143}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{-480}{19}-3x\\-x+2y=\frac{-182}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{181}{45}-4x\\x+y=\frac{181}{180}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-5y=\frac{-1}{5}\\-x=-y+\frac{2}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+2y=\frac{-121}{35}\\6x=-2y+\frac{-156}{35}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+6y=\frac{116}{19}\\-x-y=\frac{-103}{57}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+2y=\frac{-54}{5}\\-5x=y+\frac{29}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{-29}{2}-5x\\2x+5y=\frac{-449}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3y=\frac{147}{10}-5x\\x+y=\frac{31}{10}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+5y=\frac{109}{9}\\-x-y=\frac{43}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{-76}{15}-2x\\6x+y=\frac{97}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+y=\frac{44}{9}\\3x=-5y+\frac{83}{18}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{384}{143}+3x\\3x+y=\frac{656}{143}\end{matrix}\right.\qquad V=\{(\frac{12}{13},\frac{20}{11})\}\)
2. \(\left\{\begin{matrix}6y=\frac{-480}{19}-3x\\-x+2y=\frac{-182}{19}\end{matrix}\right.\qquad V=\{(\frac{11}{19},\frac{-9}{2})\}\)
3. \(\left\{\begin{matrix}4y=\frac{181}{45}-4x\\x+y=\frac{181}{180}\end{matrix}\right.\qquad V=\{(\frac{1}{18},\frac{19}{20})\}\)
4. \(\left\{\begin{matrix}-4x-5y=\frac{-1}{5}\\-x=-y+\frac{2}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{1}{5})\}\)
5. \(\left\{\begin{matrix}-x+2y=\frac{-121}{35}\\6x=-2y+\frac{-156}{35}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},\frac{-9}{5})\}\)
6. \(\left\{\begin{matrix}-4x+6y=\frac{116}{19}\\-x-y=\frac{-103}{57}\end{matrix}\right.\qquad V=\{(\frac{9}{19},\frac{4}{3})\}\)
7. \(\left\{\begin{matrix}3x+2y=\frac{-54}{5}\\-5x=y+\frac{29}{2}\end{matrix}\right.\qquad V=\{(\frac{-13}{5},\frac{-3}{2})\}\)
8. \(\left\{\begin{matrix}y=\frac{-29}{2}-5x\\2x+5y=\frac{-449}{10}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-17}{2})\}\)
9. \(\left\{\begin{matrix}-3y=\frac{147}{10}-5x\\x+y=\frac{31}{10}\end{matrix}\right.\qquad V=\{(3,\frac{1}{10})\}\)
10. \(\left\{\begin{matrix}-4x+5y=\frac{109}{9}\\-x-y=\frac{43}{9}\end{matrix}\right.\qquad V=\{(-4,\frac{-7}{9})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{-76}{15}-2x\\6x+y=\frac{97}{15}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{5}{3})\}\)
12. \(\left\{\begin{matrix}4x+y=\frac{44}{9}\\3x=-5y+\frac{83}{18}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{2}{9})\}\)