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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+y=\frac{17}{15}\\3x-5y=\frac{-24}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{-1138}{51}-6x\\x+3y=\frac{-186}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-y=\frac{-167}{30}\\-5x+5y=\frac{139}{12}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{412}{39}+4x\\x+4y=\frac{-389}{39}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+y=\frac{127}{24}\\-3x-4y=\frac{-553}{24}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+5y=12\\-x+4y=\frac{13}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x-3y=\frac{-3}{5}\\x=-5y+\frac{-111}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x+2y=\frac{-319}{76}\\x+6y=\frac{-765}{76}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+2y=\frac{-206}{35}\\4x=-y+\frac{-213}{35}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6y=-4-6x\\-4x+y=\frac{41}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4x-4y=\frac{-732}{11}\\-3x=y+\frac{-197}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x-2y=\frac{119}{39}\\6x=-5y+\frac{-170}{39}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+y=\frac{17}{15}\\3x-5y=\frac{-24}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{15},1)\}\)
2. \(\left\{\begin{matrix}5y=\frac{-1138}{51}-6x\\x+3y=\frac{-186}{17}\end{matrix}\right.\qquad V=\{(\frac{-16}{17},\frac{-10}{3})\}\)
3. \(\left\{\begin{matrix}-2x-y=\frac{-167}{30}\\-5x+5y=\frac{139}{12}\end{matrix}\right.\qquad V=\{(\frac{13}{12},\frac{17}{5})\}\)
4. \(\left\{\begin{matrix}-5y=\frac{412}{39}+4x\\x+4y=\frac{-389}{39}\end{matrix}\right.\qquad V=\{(\frac{9}{13},\frac{-8}{3})\}\)
5. \(\left\{\begin{matrix}-3x+y=\frac{127}{24}\\-3x-4y=\frac{-553}{24}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{17}{3})\}\)
6. \(\left\{\begin{matrix}-3x+5y=12\\-x+4y=\frac{13}{5}\end{matrix}\right.\qquad V=\{(-5,\frac{-3}{5})\}\)
7. \(\left\{\begin{matrix}6x-3y=\frac{-3}{5}\\x=-5y+\frac{-111}{10}\end{matrix}\right.\qquad V=\{(\frac{-11}{10},-2)\}\)
8. \(\left\{\begin{matrix}3x+2y=\frac{-319}{76}\\x+6y=\frac{-765}{76}\end{matrix}\right.\qquad V=\{(\frac{-6}{19},\frac{-13}{8})\}\)
9. \(\left\{\begin{matrix}4x+2y=\frac{-206}{35}\\4x=-y+\frac{-213}{35}\end{matrix}\right.\qquad V=\{(\frac{-11}{7},\frac{1}{5})\}\)
10. \(\left\{\begin{matrix}6y=-4-6x\\-4x+y=\frac{41}{6}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{5}{6})\}\)
11. \(\left\{\begin{matrix}-4x-4y=\frac{-732}{11}\\-3x=y+\frac{-197}{11}\end{matrix}\right.\qquad V=\{(\frac{7}{11},16)\}\)
12. \(\left\{\begin{matrix}x-2y=\frac{119}{39}\\6x=-5y+\frac{-170}{39}\end{matrix}\right.\qquad V=\{(\frac{5}{13},\frac{-4}{3})\}\)