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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{-206}{7}-4x\\4x-y=\frac{-66}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-3y=-3\\-5x=y+\frac{-5}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-4y=\frac{-22}{17}\\x=y+\frac{45}{34}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-y=\frac{106}{7}\\4x+3y=\frac{137}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2y=\frac{26}{51}-x\\-5x+3y=\frac{104}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-4y=\frac{803}{95}\\-x+y=\frac{-643}{380}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{-251}{56}-x\\-4x+2y=\frac{-55}{14}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+3y=\frac{-87}{40}\\x=-y+\frac{-61}{40}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+6y=\frac{-178}{21}\\3x=y+\frac{97}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-4y=14\\x=5y+\frac{133}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+4y=\frac{54}{5}\\-4x=-y+\frac{73}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{355}{14}+5x\\4x+y=\frac{-239}{14}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{-206}{7}-4x\\4x-y=\frac{-66}{7}\end{matrix}\right.\qquad V=\{(\frac{-19}{14},4)\}\)
2. \(\left\{\begin{matrix}3x-3y=-3\\-5x=y+\frac{-5}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{5}{4})\}\)
3. \(\left\{\begin{matrix}-4x-4y=\frac{-22}{17}\\x=y+\frac{45}{34}\end{matrix}\right.\qquad V=\{(\frac{14}{17},\frac{-1}{2})\}\)
4. \(\left\{\begin{matrix}2x-y=\frac{106}{7}\\4x+3y=\frac{137}{7}\end{matrix}\right.\qquad V=\{(\frac{13}{2},\frac{-15}{7})\}\)
5. \(\left\{\begin{matrix}2y=\frac{26}{51}-x\\-5x+3y=\frac{104}{17}\end{matrix}\right.\qquad V=\{(\frac{-14}{17},\frac{2}{3})\}\)
6. \(\left\{\begin{matrix}6x-4y=\frac{803}{95}\\-x+y=\frac{-643}{380}\end{matrix}\right.\qquad V=\{(\frac{16}{19},\frac{-17}{20})\}\)
7. \(\left\{\begin{matrix}4y=\frac{-251}{56}-x\\-4x+2y=\frac{-55}{14}\end{matrix}\right.\qquad V=\{(\frac{3}{8},\frac{-17}{14})\}\)
8. \(\left\{\begin{matrix}-3x+3y=\frac{-87}{40}\\x=-y+\frac{-61}{40}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-9}{8})\}\)
9. \(\left\{\begin{matrix}-2x+6y=\frac{-178}{21}\\3x=y+\frac{97}{7}\end{matrix}\right.\qquad V=\{(\frac{14}{3},\frac{1}{7})\}\)
10. \(\left\{\begin{matrix}3x-4y=14\\x=5y+\frac{133}{12}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{-7}{4})\}\)
11. \(\left\{\begin{matrix}-6x+4y=\frac{54}{5}\\-4x=-y+\frac{73}{15}\end{matrix}\right.\qquad V=\{(\frac{-13}{15},\frac{7}{5})\}\)
12. \(\left\{\begin{matrix}-5y=\frac{355}{14}+5x\\4x+y=\frac{-239}{14}\end{matrix}\right.\qquad V=\{(-4,\frac{-15}{14})\}\)