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Substitutie of combinatie

1. \(\left\{\begin{matrix}y=\frac{-257}{20}+4x\\-2x-2y=\frac{-43}{10}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x-5y=5\\-4x-y=\frac{-7}{18}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6y=\frac{149}{40}+3x\\x+4y=\frac{-197}{120}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+6y=\frac{-224}{13}\\x=-3y+\frac{-84}{13}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x+2y=15\\-5x=y+\frac{-23}{2}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+4y=\frac{26}{7}\\-5x-y=\frac{40}{21}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-y=\frac{-369}{238}\\-3x+5y=\frac{-507}{238}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2y=\frac{-325}{57}+5x\\-x+y=\frac{-451}{285}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x-6y=8\\x=2y+\frac{24}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x+y=\frac{-26}{15}\\-3x=-4y+\frac{22}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+2y=\frac{-153}{4}\\5x=-3y+\frac{-233}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-5y=\frac{-17}{6}\\x=-4y+\frac{11}{12}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}y=\frac{-257}{20}+4x\\-2x-2y=\frac{-43}{10}\end{matrix}\right.\qquad V=\{(3,\frac{-17}{20})\}\)
2. \(\left\{\begin{matrix}5x-5y=5\\-4x-y=\frac{-7}{18}\end{matrix}\right.\qquad V=\{(\frac{5}{18},\frac{-13}{18})\}\)
3. \(\left\{\begin{matrix}6y=\frac{149}{40}+3x\\x+4y=\frac{-197}{120}\end{matrix}\right.\qquad V=\{(\frac{-11}{8},\frac{-1}{15})\}\)
4. \(\left\{\begin{matrix}-6x+6y=\frac{-224}{13}\\x=-3y+\frac{-84}{13}\end{matrix}\right.\qquad V=\{(\frac{7}{13},\frac{-7}{3})\}\)
5. \(\left\{\begin{matrix}6x+2y=15\\-5x=y+\frac{-23}{2}\end{matrix}\right.\qquad V=\{(2,\frac{3}{2})\}\)
6. \(\left\{\begin{matrix}3x+4y=\frac{26}{7}\\-5x-y=\frac{40}{21}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{10}{7})\}\)
7. \(\left\{\begin{matrix}-5x-y=\frac{-369}{238}\\-3x+5y=\frac{-507}{238}\end{matrix}\right.\qquad V=\{(\frac{6}{17},\frac{-3}{14})\}\)
8. \(\left\{\begin{matrix}-2y=\frac{-325}{57}+5x\\-x+y=\frac{-451}{285}\end{matrix}\right.\qquad V=\{(\frac{19}{15},\frac{-6}{19})\}\)
9. \(\left\{\begin{matrix}-5x-6y=8\\x=2y+\frac{24}{5}\end{matrix}\right.\qquad V=\{(\frac{4}{5},-2)\}\)
10. \(\left\{\begin{matrix}-6x+y=\frac{-26}{15}\\-3x=-4y+\frac{22}{15}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{2}{3})\}\)
11. \(\left\{\begin{matrix}x+2y=\frac{-153}{4}\\5x=-3y+\frac{-233}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},-19)\}\)
12. \(\left\{\begin{matrix}-2x-5y=\frac{-17}{6}\\x=-4y+\frac{11}{12}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{-1}{3})\}\)