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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-4y=\frac{16}{3}\\6x+y=\frac{-25}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{-2}{9}-2x\\x+y=\frac{5}{9}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x-y=9\\6x+3y=-9\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=\frac{-156}{19}-4x\\x-2y=\frac{-58}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+3y=\frac{-77}{4}\\-x-2y=\frac{127}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-5y=\frac{-1426}{285}\\-x-y=\frac{-232}{285}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x-5y=\frac{13}{2}\\-5x=-y+\frac{-9}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{-93}{16}-x\\5x-6y=\frac{-161}{16}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{61}{14}+3x\\x-6y=\frac{-37}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5y=\frac{-99}{19}+3x\\x-3y=\frac{29}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x+6y=\frac{838}{99}\\-x+4y=\frac{599}{99}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-5y=\frac{-125}{171}\\-x-3y=\frac{-178}{57}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-4y=\frac{16}{3}\\6x+y=\frac{-25}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{-7}{3})\}\)
2. \(\left\{\begin{matrix}5y=\frac{-2}{9}-2x\\x+y=\frac{5}{9}\end{matrix}\right.\qquad V=\{(1,\frac{-4}{9})\}\)
3. \(\left\{\begin{matrix}x-y=9\\6x+3y=-9\end{matrix}\right.\qquad V=\{(2,-7)\}\)
4. \(\left\{\begin{matrix}-6y=\frac{-156}{19}-4x\\x-2y=\frac{-58}{19}\end{matrix}\right.\qquad V=\{(\frac{18}{19},2)\}\)
5. \(\left\{\begin{matrix}-3x+3y=\frac{-77}{4}\\-x-2y=\frac{127}{12}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-17}{3})\}\)
6. \(\left\{\begin{matrix}2x-5y=\frac{-1426}{285}\\-x-y=\frac{-232}{285}\end{matrix}\right.\qquad V=\{(\frac{-2}{15},\frac{18}{19})\}\)
7. \(\left\{\begin{matrix}6x-5y=\frac{13}{2}\\-5x=-y+\frac{-9}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{4},-1)\}\)
8. \(\left\{\begin{matrix}-5y=\frac{-93}{16}-x\\5x-6y=\frac{-161}{16}\end{matrix}\right.\qquad V=\{(\frac{-13}{16},1)\}\)
9. \(\left\{\begin{matrix}-5y=\frac{61}{14}+3x\\x-6y=\frac{-37}{7}\end{matrix}\right.\qquad V=\{(\frac{-16}{7},\frac{1}{2})\}\)
10. \(\left\{\begin{matrix}5y=\frac{-99}{19}+3x\\x-3y=\frac{29}{19}\end{matrix}\right.\qquad V=\{(2,\frac{3}{19})\}\)
11. \(\left\{\begin{matrix}-2x+6y=\frac{838}{99}\\-x+4y=\frac{599}{99}\end{matrix}\right.\qquad V=\{(\frac{11}{9},\frac{20}{11})\}\)
12. \(\left\{\begin{matrix}4x-5y=\frac{-125}{171}\\-x-3y=\frac{-178}{57}\end{matrix}\right.\qquad V=\{(\frac{15}{19},\frac{7}{9})\}\)