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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-6y=\frac{-303}{140}\\3x-5y=\frac{-389}{140}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=-8+4x\\x+2y=\frac{-3}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-y=\frac{46}{63}\\6x=4y+\frac{178}{21}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+6y=\frac{-104}{19}\\-x=y+\frac{3}{38}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{-7}{4}+x\\5x+4y=\frac{21}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-5y=\frac{40}{7}\\6x=-y+\frac{16}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{127}{6}+5x\\-2x+2y=\frac{23}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x-5y=\frac{11}{42}\\-4x-y=\frac{-121}{42}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{87}{5}+6x\\-x+3y=\frac{47}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4y=-30-4x\\-x-5y=\frac{95}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x+5y=\frac{-355}{51}\\-4x=-y+\frac{677}{51}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+2y=\frac{-61}{18}\\-4x-y=\frac{77}{36}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-6y=\frac{-303}{140}\\3x-5y=\frac{-389}{140}\end{matrix}\right.\qquad V=\{(\frac{-9}{20},\frac{2}{7})\}\)
2. \(\left\{\begin{matrix}5y=-8+4x\\x+2y=\frac{-3}{5}\end{matrix}\right.\qquad V=\{(1,\frac{-4}{5})\}\)
3. \(\left\{\begin{matrix}-x-y=\frac{46}{63}\\6x=4y+\frac{178}{21}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{-9}{7})\}\)
4. \(\left\{\begin{matrix}-4x+6y=\frac{-104}{19}\\-x=y+\frac{3}{38}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-11}{19})\}\)
5. \(\left\{\begin{matrix}-5y=\frac{-7}{4}+x\\5x+4y=\frac{21}{4}\end{matrix}\right.\qquad V=\{(\frac{11}{12},\frac{1}{6})\}\)
6. \(\left\{\begin{matrix}-6x-5y=\frac{40}{7}\\6x=-y+\frac{16}{7}\end{matrix}\right.\qquad V=\{(\frac{5}{7},-2)\}\)
7. \(\left\{\begin{matrix}y=\frac{127}{6}+5x\\-2x+2y=\frac{23}{3}\end{matrix}\right.\qquad V=\{(\frac{-13}{3},\frac{-1}{2})\}\)
8. \(\left\{\begin{matrix}2x-5y=\frac{11}{42}\\-4x-y=\frac{-121}{42}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{3}{14})\}\)
9. \(\left\{\begin{matrix}5y=\frac{87}{5}+6x\\-x+3y=\frac{47}{5}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},3)\}\)
10. \(\left\{\begin{matrix}4y=-30-4x\\-x-5y=\frac{95}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{2},-10)\}\)
11. \(\left\{\begin{matrix}2x+5y=\frac{-355}{51}\\-4x=-y+\frac{677}{51}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-1}{17})\}\)
12. \(\left\{\begin{matrix}4x+2y=\frac{-61}{18}\\-4x-y=\frac{77}{36}\end{matrix}\right.\qquad V=\{(\frac{-2}{9},\frac{-5}{4})\}\)