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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-6y=\frac{-2}{3}\\2x-5y=\frac{13}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{-9}{4}-x\\6x-4y=\frac{1}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+4y=\frac{-13}{2}\\x+y=\frac{-5}{8}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-4y=\frac{198}{5}\\x-2y=\frac{101}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{20}{3}-2x\\-x-y=\frac{5}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+y=\frac{-11}{2}\\-3x=2y+\frac{33}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{279}{19}+4x\\6x+y=\frac{-359}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x+3y=\frac{-65}{21}\\-x+5y=\frac{485}{63}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3x+y=\frac{259}{52}\\4x+2y=\frac{203}{26}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-2y=\frac{-317}{35}\\-x=-3y+\frac{318}{35}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+5y=\frac{-19}{2}\\-x=-2y+\frac{-3}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{-281}{15}-2x\\-x-y=\frac{58}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-6y=\frac{-2}{3}\\2x-5y=\frac{13}{6}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{1}{2})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{-9}{4}-x\\6x-4y=\frac{1}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{4},1)\}\)
3. \(\left\{\begin{matrix}-4x+4y=\frac{-13}{2}\\x+y=\frac{-5}{8}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-9}{8})\}\)
4. \(\left\{\begin{matrix}-2x-4y=\frac{198}{5}\\x-2y=\frac{101}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{5},-10)\}\)
5. \(\left\{\begin{matrix}-3y=\frac{20}{3}-2x\\-x-y=\frac{5}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{3},-2)\}\)
6. \(\left\{\begin{matrix}-4x+y=\frac{-11}{2}\\-3x=2y+\frac{33}{8}\end{matrix}\right.\qquad V=\{(\frac{5}{8},-3)\}\)
7. \(\left\{\begin{matrix}-3y=\frac{279}{19}+4x\\6x+y=\frac{-359}{19}\end{matrix}\right.\qquad V=\{(-3,\frac{-17}{19})\}\)
8. \(\left\{\begin{matrix}3x+3y=\frac{-65}{21}\\-x+5y=\frac{485}{63}\end{matrix}\right.\qquad V=\{(\frac{-15}{7},\frac{10}{9})\}\)
9. \(\left\{\begin{matrix}3x+y=\frac{259}{52}\\4x+2y=\frac{203}{26}\end{matrix}\right.\qquad V=\{(\frac{14}{13},\frac{7}{4})\}\)
10. \(\left\{\begin{matrix}3x-2y=\frac{-317}{35}\\-x=-3y+\frac{318}{35}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{13}{5})\}\)
11. \(\left\{\begin{matrix}5x+5y=\frac{-19}{2}\\-x=-2y+\frac{-3}{10}\end{matrix}\right.\qquad V=\{(\frac{-7}{6},\frac{-11}{15})\}\)
12. \(\left\{\begin{matrix}5y=\frac{-281}{15}-2x\\-x-y=\frac{58}{15}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{-11}{3})\}\)