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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{28}{45}-2x\\x+3y=\frac{68}{45}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=-5+2x\\-6x-6y=-18\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+3y=\frac{-99}{28}\\-x=3y+\frac{57}{28}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-y=\frac{19}{5}\\4x-3y=\frac{226}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{70}{11}+6x\\-x+5y=\frac{-169}{33}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x+y=\frac{1043}{110}\\4x=2y+\frac{157}{55}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{137}{85}-x\\-6x-6y=\frac{-282}{85}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+2y=\frac{76}{7}\\5x+y=\frac{-60}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-3y=\frac{-43}{20}\\2x=y+\frac{-33}{20}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x-4y=\frac{-79}{45}\\3x+y=\frac{-83}{180}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{-785}{11}+5x\\4x+y=\frac{586}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x-y=\frac{-97}{13}\\-3x-2y=\frac{-151}{65}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{28}{45}-2x\\x+3y=\frac{68}{45}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{4}{5})\}\)
2. \(\left\{\begin{matrix}-y=-5+2x\\-6x-6y=-18\end{matrix}\right.\qquad V=\{(2,1)\}\)
3. \(\left\{\begin{matrix}-6x+3y=\frac{-99}{28}\\-x=3y+\frac{57}{28}\end{matrix}\right.\qquad V=\{(\frac{3}{14},\frac{-3}{4})\}\)
4. \(\left\{\begin{matrix}x-y=\frac{19}{5}\\4x-3y=\frac{226}{15}\end{matrix}\right.\qquad V=\{(\frac{11}{3},\frac{-2}{15})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{70}{11}+6x\\-x+5y=\frac{-169}{33}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-12}{11})\}\)
6. \(\left\{\begin{matrix}6x+y=\frac{1043}{110}\\4x=2y+\frac{157}{55}\end{matrix}\right.\qquad V=\{(\frac{15}{11},\frac{13}{10})\}\)
7. \(\left\{\begin{matrix}4y=\frac{137}{85}-x\\-6x-6y=\frac{-282}{85}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{6}{17})\}\)
8. \(\left\{\begin{matrix}-4x+2y=\frac{76}{7}\\5x+y=\frac{-60}{7}\end{matrix}\right.\qquad V=\{(-2,\frac{10}{7})\}\)
9. \(\left\{\begin{matrix}2x-3y=\frac{-43}{20}\\2x=y+\frac{-33}{20}\end{matrix}\right.\qquad V=\{(\frac{-7}{10},\frac{1}{4})\}\)
10. \(\left\{\begin{matrix}-4x-4y=\frac{-79}{45}\\3x+y=\frac{-83}{180}\end{matrix}\right.\qquad V=\{(\frac{-9}{20},\frac{8}{9})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{-785}{11}+5x\\4x+y=\frac{586}{11}\end{matrix}\right.\qquad V=\{(13,\frac{14}{11})\}\)
12. \(\left\{\begin{matrix}-5x-y=\frac{-97}{13}\\-3x-2y=\frac{-151}{65}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{-20}{13})\}\)