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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{58}{45}-2x\\x-y=\frac{38}{45}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+6y=\frac{163}{10}\\6x=y+\frac{17}{15}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{75}{4}+5x\\6x-y=\frac{-209}{8}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-4y=\frac{697}{35}\\-x=3y+\frac{853}{70}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-2y=\frac{247}{36}\\-5x=y+\frac{-79}{36}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x+5y=\frac{-61}{48}\\-3x=-6y+\frac{-17}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+5y=\frac{344}{91}\\-x-4y=\frac{-250}{91}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x-2y=\frac{7}{5}\\x=6y+\frac{57}{10}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{144}{133}+3x\\-4x+y=\frac{-291}{133}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x-5y=\frac{181}{18}\\2x+y=\frac{-101}{18}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x+2y=\frac{1036}{195}\\3x-y=\frac{-803}{195}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-2y=\frac{-17}{2}\\-2x+5y=\frac{-95}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{58}{45}-2x\\x-y=\frac{38}{45}\end{matrix}\right.\qquad V=\{(\frac{17}{18},\frac{1}{10})\}\)
2. \(\left\{\begin{matrix}6x+6y=\frac{163}{10}\\6x=y+\frac{17}{15}\end{matrix}\right.\qquad V=\{(\frac{11}{20},\frac{13}{6})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{75}{4}+5x\\6x-y=\frac{-209}{8}\end{matrix}\right.\qquad V=\{(\frac{-17}{4},\frac{5}{8})\}\)
4. \(\left\{\begin{matrix}-6x-4y=\frac{697}{35}\\-x=3y+\frac{853}{70}\end{matrix}\right.\qquad V=\{(\frac{-11}{14},\frac{-19}{5})\}\)
5. \(\left\{\begin{matrix}5x-2y=\frac{247}{36}\\-5x=y+\frac{-79}{36}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-14}{9})\}\)
6. \(\left\{\begin{matrix}-x+5y=\frac{-61}{48}\\-3x=-6y+\frac{-17}{8}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-3}{16})\}\)
7. \(\left\{\begin{matrix}2x+5y=\frac{344}{91}\\-x-4y=\frac{-250}{91}\end{matrix}\right.\qquad V=\{(\frac{6}{13},\frac{4}{7})\}\)
8. \(\left\{\begin{matrix}2x-2y=\frac{7}{5}\\x=6y+\frac{57}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},-1)\}\)
9. \(\left\{\begin{matrix}-5y=\frac{144}{133}+3x\\-4x+y=\frac{-291}{133}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{-9}{19})\}\)
10. \(\left\{\begin{matrix}-4x-5y=\frac{181}{18}\\2x+y=\frac{-101}{18}\end{matrix}\right.\qquad V=\{(-3,\frac{7}{18})\}\)
11. \(\left\{\begin{matrix}-4x+2y=\frac{1036}{195}\\3x-y=\frac{-803}{195}\end{matrix}\right.\qquad V=\{(\frac{-19}{13},\frac{-4}{15})\}\)
12. \(\left\{\begin{matrix}-x-2y=\frac{-17}{2}\\-2x+5y=\frac{-95}{4}\end{matrix}\right.\qquad V=\{(10,\frac{-3}{4})\}\)