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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+2y=\frac{-97}{9}\\x=2y+\frac{7}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+5y=\frac{55}{14}\\-5x+y=\frac{-11}{14}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+2y=\frac{-126}{55}\\-2x-y=\frac{138}{55}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x+5y=\frac{-14}{3}\\-6x-y=\frac{21}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{88}{19}+5x\\-6x+6y=\frac{-852}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-y=\frac{-41}{14}\\-4x=2y+\frac{-50}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{-211}{10}-5x\\-2x+y=\frac{44}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+6y=\frac{1668}{91}\\-3x-y=\frac{-523}{91}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{7}{19}-6x\\x+3y=\frac{-100}{57}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3y=\frac{421}{170}-x\\-4x+3y=\frac{508}{85}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{959}{234}-4x\\2x+y=\frac{161}{234}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+5y=\frac{199}{266}\\-x=-y+\frac{-477}{266}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+2y=\frac{-97}{9}\\x=2y+\frac{7}{9}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-11}{9})\}\)
2. \(\left\{\begin{matrix}-3x+5y=\frac{55}{14}\\-5x+y=\frac{-11}{14}\end{matrix}\right.\qquad V=\{(\frac{5}{14},1)\}\)
3. \(\left\{\begin{matrix}-2x+2y=\frac{-126}{55}\\-2x-y=\frac{138}{55}\end{matrix}\right.\qquad V=\{(\frac{-5}{11},\frac{-8}{5})\}\)
4. \(\left\{\begin{matrix}2x+5y=\frac{-14}{3}\\-6x-y=\frac{21}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{12},\frac{-7}{10})\}\)
5. \(\left\{\begin{matrix}-y=\frac{88}{19}+5x\\-6x+6y=\frac{-852}{19}\end{matrix}\right.\qquad V=\{(\frac{9}{19},-7)\}\)
6. \(\left\{\begin{matrix}-x-y=\frac{-41}{14}\\-4x=2y+\frac{-50}{7}\end{matrix}\right.\qquad V=\{(\frac{9}{14},\frac{16}{7})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{-211}{10}-5x\\-2x+y=\frac{44}{5}\end{matrix}\right.\qquad V=\{(\frac{-7}{2},\frac{9}{5})\}\)
8. \(\left\{\begin{matrix}4x+6y=\frac{1668}{91}\\-3x-y=\frac{-523}{91}\end{matrix}\right.\qquad V=\{(\frac{15}{13},\frac{16}{7})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{7}{19}-6x\\x+3y=\frac{-100}{57}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-9}{19})\}\)
10. \(\left\{\begin{matrix}3y=\frac{421}{170}-x\\-4x+3y=\frac{508}{85}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{18}{17})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{959}{234}-4x\\2x+y=\frac{161}{234}\end{matrix}\right.\qquad V=\{(\frac{7}{13},\frac{-7}{18})\}\)
12. \(\left\{\begin{matrix}3x+5y=\frac{199}{266}\\-x=-y+\frac{-477}{266}\end{matrix}\right.\qquad V=\{(\frac{17}{14},\frac{-11}{19})\}\)