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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-y=\frac{-1083}{80}\\-4x=-2y+\frac{539}{40}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{964}{165}-x\\-5x-5y=\frac{-184}{33}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x+3y=\frac{150}{19}\\-x+6y=\frac{222}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3y=\frac{81}{4}+5x\\x+3y=\frac{-61}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{-11}{5}+4x\\x+2y=\frac{14}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+2y=\frac{-39}{5}\\x-3y=\frac{48}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+y=\frac{-20}{9}\\4x=5y+\frac{163}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{14}{15}+2x\\5x+4y=\frac{316}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+2y=\frac{-26}{3}\\5x-y=\frac{25}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+5y=\frac{-526}{11}\\3x-y=\frac{128}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-4y=\frac{-27}{11}\\-5x-2y=\frac{-107}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+4y=\frac{-19}{20}\\-2x=2y+1\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-y=\frac{-1083}{80}\\-4x=-2y+\frac{539}{40}\end{matrix}\right.\qquad V=\{(\frac{-17}{5},\frac{-1}{16})\}\)
2. \(\left\{\begin{matrix}5y=\frac{964}{165}-x\\-5x-5y=\frac{-184}{33}\end{matrix}\right.\qquad V=\{(\frac{-1}{15},\frac{13}{11})\}\)
3. \(\left\{\begin{matrix}6x+3y=\frac{150}{19}\\-x+6y=\frac{222}{19}\end{matrix}\right.\qquad V=\{(\frac{6}{19},2)\}\)
4. \(\left\{\begin{matrix}-3y=\frac{81}{4}+5x\\x+3y=\frac{-61}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{-14}{3})\}\)
5. \(\left\{\begin{matrix}-2y=\frac{-11}{5}+4x\\x+2y=\frac{14}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{3}{2})\}\)
6. \(\left\{\begin{matrix}-3x+2y=\frac{-39}{5}\\x-3y=\frac{48}{5}\end{matrix}\right.\qquad V=\{(\frac{3}{5},-3)\}\)
7. \(\left\{\begin{matrix}x+y=\frac{-20}{9}\\4x=5y+\frac{163}{9}\end{matrix}\right.\qquad V=\{(\frac{7}{9},-3)\}\)
8. \(\left\{\begin{matrix}y=\frac{14}{15}+2x\\5x+4y=\frac{316}{15}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{18}{5})\}\)
9. \(\left\{\begin{matrix}-2x+2y=\frac{-26}{3}\\5x-y=\frac{25}{3}\end{matrix}\right.\qquad V=\{(1,\frac{-10}{3})\}\)
10. \(\left\{\begin{matrix}4x+5y=\frac{-526}{11}\\3x-y=\frac{128}{11}\end{matrix}\right.\qquad V=\{(\frac{6}{11},-10)\}\)
11. \(\left\{\begin{matrix}x-4y=\frac{-27}{11}\\-5x-2y=\frac{-107}{11}\end{matrix}\right.\qquad V=\{(\frac{17}{11},1)\}\)
12. \(\left\{\begin{matrix}x+4y=\frac{-19}{20}\\-2x=2y+1\end{matrix}\right.\qquad V=\{(\frac{-7}{20},\frac{-3}{20})\}\)