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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-2y=\frac{83}{10}\\-x+4y=\frac{-27}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+6y=\frac{74}{95}\\x=-2y+\frac{198}{95}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{101}{16}-x\\5x-5y=\frac{165}{16}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4y=\frac{5}{6}-5x\\x+y=\frac{2}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+4y=\frac{-59}{28}\\-5x+y=\frac{-5}{56}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{-317}{95}-3x\\-3x-y=\frac{122}{95}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{79}{9}+5x\\-x-y=\frac{20}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x+6y=\frac{191}{45}\\-x-2y=\frac{-19}{90}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+6y=\frac{24}{5}\\-x=6y+\frac{-9}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x-y=\frac{5}{4}\\-6x=-4y+\frac{-83}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2y=\frac{1138}{171}+6x\\-x+3y=\frac{401}{57}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{31}{2}-x\\-2x-4y=-52\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-2y=\frac{83}{10}\\-x+4y=\frac{-27}{5}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},\frac{-7}{4})\}\)
2. \(\left\{\begin{matrix}-5x+6y=\frac{74}{95}\\x=-2y+\frac{198}{95}\end{matrix}\right.\qquad V=\{(\frac{13}{19},\frac{7}{10})\}\)
3. \(\left\{\begin{matrix}-5y=\frac{101}{16}-x\\5x-5y=\frac{165}{16}\end{matrix}\right.\qquad V=\{(1,\frac{-17}{16})\}\)
4. \(\left\{\begin{matrix}4y=\frac{5}{6}-5x\\x+y=\frac{2}{3}\end{matrix}\right.\qquad V=\{(\frac{-11}{6},\frac{5}{2})\}\)
5. \(\left\{\begin{matrix}-6x+4y=\frac{-59}{28}\\-5x+y=\frac{-5}{56}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{-5}{7})\}\)
6. \(\left\{\begin{matrix}4y=\frac{-317}{95}-3x\\-3x-y=\frac{122}{95}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{-13}{19})\}\)
7. \(\left\{\begin{matrix}2y=\frac{79}{9}+5x\\-x-y=\frac{20}{9}\end{matrix}\right.\qquad V=\{(\frac{-17}{9},\frac{-1}{3})\}\)
8. \(\left\{\begin{matrix}-2x+6y=\frac{191}{45}\\-x-2y=\frac{-19}{90}\end{matrix}\right.\qquad V=\{(\frac{-13}{18},\frac{7}{15})\}\)
9. \(\left\{\begin{matrix}2x+6y=\frac{24}{5}\\-x=6y+\frac{-9}{5}\end{matrix}\right.\qquad V=\{(3,\frac{-1}{5})\}\)
10. \(\left\{\begin{matrix}-2x-y=\frac{5}{4}\\-6x=-4y+\frac{-83}{4}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{-7}{2})\}\)
11. \(\left\{\begin{matrix}2y=\frac{1138}{171}+6x\\-x+3y=\frac{401}{57}\end{matrix}\right.\qquad V=\{(\frac{-7}{19},\frac{20}{9})\}\)
12. \(\left\{\begin{matrix}-y=\frac{31}{2}-x\\-2x-4y=-52\end{matrix}\right.\qquad V=\{(19,\frac{7}{2})\}\)