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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+4y=\frac{-266}{45}\\-4x+y=\frac{-343}{90}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+3y=\frac{-355}{104}\\-x=5y+\frac{285}{104}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{-7}{3}+4x\\-2x-4y=\frac{-26}{3}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3y=\frac{-89}{11}+2x\\-3x+y=\frac{-172}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-3y=\frac{-14}{57}\\-3x-5y=\frac{140}{19}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-y=\frac{-31}{4}\\5x=6y+\frac{-225}{4}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+y=\frac{11}{2}\\-5x=4y+7\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5x+4y=\frac{47}{95}\\-2x=-y+\frac{-167}{95}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{218}{7}+6x\\-3x-y=\frac{251}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{-46}{5}-2x\\-x+5y=4\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x+3y=\frac{71}{88}\\-x-2y=\frac{-61}{44}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x+y=\frac{557}{153}\\-3x-3y=\frac{-125}{51}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+4y=\frac{-266}{45}\\-4x+y=\frac{-343}{90}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{-7}{10})\}\)
2. \(\left\{\begin{matrix}-4x+3y=\frac{-355}{104}\\-x=5y+\frac{285}{104}\end{matrix}\right.\qquad V=\{(\frac{5}{13},\frac{-5}{8})\}\)
3. \(\left\{\begin{matrix}y=\frac{-7}{3}+4x\\-2x-4y=\frac{-26}{3}\end{matrix}\right.\qquad V=\{(1,\frac{5}{3})\}\)
4. \(\left\{\begin{matrix}-3y=\frac{-89}{11}+2x\\-3x+y=\frac{-172}{11}\end{matrix}\right.\qquad V=\{(5,\frac{-7}{11})\}\)
5. \(\left\{\begin{matrix}x-3y=\frac{-14}{57}\\-3x-5y=\frac{140}{19}\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-9}{19})\}\)
6. \(\left\{\begin{matrix}3x-y=\frac{-31}{4}\\5x=6y+\frac{-225}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{4},10)\}\)
7. \(\left\{\begin{matrix}-6x+y=\frac{11}{2}\\-5x=4y+7\end{matrix}\right.\qquad V=\{(-1,\frac{-1}{2})\}\)
8. \(\left\{\begin{matrix}5x+4y=\frac{47}{95}\\-2x=-y+\frac{-167}{95}\end{matrix}\right.\qquad V=\{(\frac{11}{19},\frac{-3}{5})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{218}{7}+6x\\-3x-y=\frac{251}{14}\end{matrix}\right.\qquad V=\{(\frac{-13}{2},\frac{11}{7})\}\)
10. \(\left\{\begin{matrix}-4y=\frac{-46}{5}-2x\\-x+5y=4\end{matrix}\right.\qquad V=\{(-5,\frac{-1}{5})\}\)
11. \(\left\{\begin{matrix}5x+3y=\frac{71}{88}\\-x-2y=\frac{-61}{44}\end{matrix}\right.\qquad V=\{(\frac{-4}{11},\frac{7}{8})\}\)
12. \(\left\{\begin{matrix}5x+y=\frac{557}{153}\\-3x-3y=\frac{-125}{51}\end{matrix}\right.\qquad V=\{(\frac{12}{17},\frac{1}{9})\}\)