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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x+3y=\frac{-485}{22}\\x-4y=\frac{331}{11}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-y=11\\2x+2y=2\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-3y=\frac{-157}{19}\\-3x+y=\frac{-307}{38}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-5y=\frac{227}{34}\\x-y=\frac{-145}{34}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-6y=\frac{-314}{15}\\5x=y+\frac{353}{45}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-3y=\frac{36}{5}\\5x+y=\frac{-37}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+6y=18\\-x-2y=\frac{-11}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+4y=\frac{2094}{209}\\-2x+y=\frac{584}{209}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2y=10-2x\\x+2y=2\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-3y=\frac{-277}{36}\\5x=y+\frac{-239}{36}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x+4y=\frac{196}{19}\\x+y=\frac{49}{19}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+3y=\frac{15}{7}\\6x+4y=\frac{-8}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x+3y=\frac{-485}{22}\\x-4y=\frac{331}{11}\end{matrix}\right.\qquad V=\{(\frac{1}{11},\frac{-15}{2})\}\)
2. \(\left\{\begin{matrix}5x-y=11\\2x+2y=2\end{matrix}\right.\qquad V=\{(2,-1)\}\)
3. \(\left\{\begin{matrix}-4x-3y=\frac{-157}{19}\\-3x+y=\frac{-307}{38}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-11}{19})\}\)
4. \(\left\{\begin{matrix}-3x-5y=\frac{227}{34}\\x-y=\frac{-145}{34}\end{matrix}\right.\qquad V=\{(\frac{-7}{2},\frac{13}{17})\}\)
5. \(\left\{\begin{matrix}-6x-6y=\frac{-314}{15}\\5x=y+\frac{353}{45}\end{matrix}\right.\qquad V=\{(\frac{17}{9},\frac{8}{5})\}\)
6. \(\left\{\begin{matrix}-5x-3y=\frac{36}{5}\\5x+y=\frac{-37}{5}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{1}{10})\}\)
7. \(\left\{\begin{matrix}4x+6y=18\\-x-2y=\frac{-11}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{2},2)\}\)
8. \(\left\{\begin{matrix}-6x+4y=\frac{2094}{209}\\-2x+y=\frac{584}{209}\end{matrix}\right.\qquad V=\{(\frac{-11}{19},\frac{18}{11})\}\)
9. \(\left\{\begin{matrix}-2y=10-2x\\x+2y=2\end{matrix}\right.\qquad V=\{(4,-1)\}\)
10. \(\left\{\begin{matrix}4x-3y=\frac{-277}{36}\\5x=y+\frac{-239}{36}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{13}{12})\}\)
11. \(\left\{\begin{matrix}4x+4y=\frac{196}{19}\\x+y=\frac{49}{19}\end{matrix}\right.\qquad V=\{(\frac{11}{19},2)\}\)
12. \(\left\{\begin{matrix}x+3y=\frac{15}{7}\\6x+4y=\frac{-8}{7}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},1)\}\)