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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{43}{10}-4x\\x+6y=\frac{109}{20}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x-2y=\frac{-241}{30}\\x+2y=\frac{-58}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{-11}{3}+2x\\-4x+y=-11\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5y=\frac{34}{15}-2x\\-x+y=\frac{1}{30}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x+4y=\frac{53}{10}\\-x-4y=\frac{-61}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-4y=\frac{307}{39}\\-4x=-y+\frac{-5}{78}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x-6y=\frac{-87}{44}\\-x+3y=\frac{107}{88}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+6y=\frac{456}{55}\\-3x=-y+\frac{208}{55}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{-11}{2}+6x\\-x-4y=\frac{17}{6}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-5y=\frac{-5}{91}\\-x-6y=\frac{-526}{91}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{293}{28}+4x\\2x+y=\frac{-73}{28}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{-117}{19}+3x\\2x+y=\frac{50}{19}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{43}{10}-4x\\x+6y=\frac{109}{20}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{7}{8})\}\)
2. \(\left\{\begin{matrix}6x-2y=\frac{-241}{30}\\x+2y=\frac{-58}{15}\end{matrix}\right.\qquad V=\{(\frac{-17}{10},\frac{-13}{12})\}\)
3. \(\left\{\begin{matrix}-5y=\frac{-11}{3}+2x\\-4x+y=-11\end{matrix}\right.\qquad V=\{(\frac{8}{3},\frac{-1}{3})\}\)
4. \(\left\{\begin{matrix}5y=\frac{34}{15}-2x\\-x+y=\frac{1}{30}\end{matrix}\right.\qquad V=\{(\frac{3}{10},\frac{1}{3})\}\)
5. \(\left\{\begin{matrix}-2x+4y=\frac{53}{10}\\-x-4y=\frac{-61}{20}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{19}{20})\}\)
6. \(\left\{\begin{matrix}5x-4y=\frac{307}{39}\\-4x=-y+\frac{-5}{78}\end{matrix}\right.\qquad V=\{(\frac{-9}{13},\frac{-17}{6})\}\)
7. \(\left\{\begin{matrix}-3x-6y=\frac{-87}{44}\\-x+3y=\frac{107}{88}\end{matrix}\right.\qquad V=\{(\frac{-1}{11},\frac{3}{8})\}\)
8. \(\left\{\begin{matrix}-6x+6y=\frac{456}{55}\\-3x=-y+\frac{208}{55}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{2}{11})\}\)
9. \(\left\{\begin{matrix}3y=\frac{-11}{2}+6x\\-x-4y=\frac{17}{6}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-5}{6})\}\)
10. \(\left\{\begin{matrix}-5x-5y=\frac{-5}{91}\\-x-6y=\frac{-526}{91}\end{matrix}\right.\qquad V=\{(\frac{-8}{7},\frac{15}{13})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{293}{28}+4x\\2x+y=\frac{-73}{28}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{-7}{4})\}\)
12. \(\left\{\begin{matrix}-5y=\frac{-117}{19}+3x\\2x+y=\frac{50}{19}\end{matrix}\right.\qquad V=\{(1,\frac{12}{19})\}\)