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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+2y=\frac{264}{95}\\-2x=y+\frac{-157}{95}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x+6y=\frac{-466}{55}\\-x=6y+\frac{1486}{165}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x+3y=\frac{1299}{187}\\6x=-y+\frac{1453}{187}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-6y=\frac{32}{17}\\-5x=-y+\frac{52}{51}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4x-4y=\frac{-57}{2}\\-x-6y=\frac{-377}{8}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-3y=\frac{101}{17}\\x=-4y+\frac{-78}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5y=\frac{-467}{152}+6x\\-4x-y=\frac{-225}{76}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+3y=\frac{-73}{20}\\5x-y=\frac{17}{12}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}y=\frac{236}{119}+x\\-4x+6y=\frac{804}{119}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-2y=\frac{23}{6}\\-x=5y+\frac{157}{12}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+3y=\frac{47}{20}\\6x-3y=\frac{-111}{10}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-5y=\frac{73}{38}\\-3x-y=\frac{375}{76}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+2y=\frac{264}{95}\\-2x=y+\frac{-157}{95}\end{matrix}\right.\qquad V=\{(\frac{10}{19},\frac{3}{5})\}\)
2. \(\left\{\begin{matrix}3x+6y=\frac{-466}{55}\\-x=6y+\frac{1486}{165}\end{matrix}\right.\qquad V=\{(\frac{4}{15},\frac{-17}{11})\}\)
3. \(\left\{\begin{matrix}6x+3y=\frac{1299}{187}\\6x=-y+\frac{1453}{187}\end{matrix}\right.\qquad V=\{(\frac{15}{11},\frac{-7}{17})\}\)
4. \(\left\{\begin{matrix}6x-6y=\frac{32}{17}\\-5x=-y+\frac{52}{51}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-11}{17})\}\)
5. \(\left\{\begin{matrix}-4x-4y=\frac{-57}{2}\\-x-6y=\frac{-377}{8}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},8)\}\)
6. \(\left\{\begin{matrix}-5x-3y=\frac{101}{17}\\x=-4y+\frac{-78}{17}\end{matrix}\right.\qquad V=\{(\frac{-10}{17},-1)\}\)
7. \(\left\{\begin{matrix}5y=\frac{-467}{152}+6x\\-4x-y=\frac{-225}{76}\end{matrix}\right.\qquad V=\{(\frac{11}{16},\frac{4}{19})\}\)
8. \(\left\{\begin{matrix}-6x+3y=\frac{-73}{20}\\5x-y=\frac{17}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{15},\frac{-13}{12})\}\)
9. \(\left\{\begin{matrix}y=\frac{236}{119}+x\\-4x+6y=\frac{804}{119}\end{matrix}\right.\qquad V=\{(\frac{-18}{7},\frac{-10}{17})\}\)
10. \(\left\{\begin{matrix}2x-2y=\frac{23}{6}\\-x=5y+\frac{157}{12}\end{matrix}\right.\qquad V=\{(\frac{-7}{12},\frac{-5}{2})\}\)
11. \(\left\{\begin{matrix}-x+3y=\frac{47}{20}\\6x-3y=\frac{-111}{10}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},\frac{1}{5})\}\)
12. \(\left\{\begin{matrix}-2x-5y=\frac{73}{38}\\-3x-y=\frac{375}{76}\end{matrix}\right.\qquad V=\{(\frac{-7}{4},\frac{6}{19})\}\)