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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{925}{84}-5x\\-x-y=\frac{-185}{84}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-6y=\frac{-7}{2}\\-x=-2y+\frac{8}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+2y=\frac{225}{26}\\-x=-3y+\frac{337}{52}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+5y=\frac{-27}{2}\\-5x-y=\frac{11}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+y=13\\-2x=6y+-50\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2y=\frac{129}{110}+3x\\5x+y=\frac{-1}{220}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{37}{3}-x\\2x-6y=-1\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{246}{119}+2x\\-2x+4y=\frac{858}{119}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-y=\frac{225}{19}-3x\\6x-5y=\frac{441}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+y=\frac{-94}{39}\\-3x=-5y+\frac{55}{26}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-5y=\frac{41}{7}\\2x-y=\frac{-76}{35}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{-11}{3}+2x\\-x+3y=\frac{22}{3}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{925}{84}-5x\\-x-y=\frac{-185}{84}\end{matrix}\right.\qquad V=\{(\frac{17}{12},\frac{11}{14})\}\)
2. \(\left\{\begin{matrix}5x-6y=\frac{-7}{2}\\-x=-2y+\frac{8}{5}\end{matrix}\right.\qquad V=\{(\frac{13}{20},\frac{9}{8})\}\)
3. \(\left\{\begin{matrix}-2x+2y=\frac{225}{26}\\-x=-3y+\frac{337}{52}\end{matrix}\right.\qquad V=\{(\frac{-13}{4},\frac{14}{13})\}\)
4. \(\left\{\begin{matrix}-3x+5y=\frac{-27}{2}\\-5x-y=\frac{11}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},-3)\}\)
5. \(\left\{\begin{matrix}5x+y=13\\-2x=6y+-50\end{matrix}\right.\qquad V=\{(1,8)\}\)
6. \(\left\{\begin{matrix}2y=\frac{129}{110}+3x\\5x+y=\frac{-1}{220}\end{matrix}\right.\qquad V=\{(\frac{-1}{11},\frac{9}{20})\}\)
7. \(\left\{\begin{matrix}4y=\frac{37}{3}-x\\2x-6y=-1\end{matrix}\right.\qquad V=\{(5,\frac{11}{6})\}\)
8. \(\left\{\begin{matrix}y=\frac{246}{119}+2x\\-2x+4y=\frac{858}{119}\end{matrix}\right.\qquad V=\{(\frac{-3}{17},\frac{12}{7})\}\)
9. \(\left\{\begin{matrix}-y=\frac{225}{19}-3x\\6x-5y=\frac{441}{19}\end{matrix}\right.\qquad V=\{(4,\frac{3}{19})\}\)
10. \(\left\{\begin{matrix}-4x+y=\frac{-94}{39}\\-3x=-5y+\frac{55}{26}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{12}{13})\}\)
11. \(\left\{\begin{matrix}-3x-5y=\frac{41}{7}\\2x-y=\frac{-76}{35}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{-2}{5})\}\)
12. \(\left\{\begin{matrix}-5y=\frac{-11}{3}+2x\\-x+3y=\frac{22}{3}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{5}{3})\}\)