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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-2y=\frac{-15}{4}\\6x+y=\frac{69}{8}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+5y=\frac{-99}{20}\\2x=5y+\frac{87}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x+2y=\frac{-67}{18}\\4x=-y+\frac{115}{18}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-4y=\frac{81}{4}\\-x+5y=\frac{-429}{80}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{9}{4}+5x\\-5x+y=\frac{59}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-4y=\frac{370}{39}\\4x=-2y+\frac{-206}{39}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x+2y=\frac{310}{143}\\-4x-5y=\frac{-1633}{143}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x-4y=\frac{254}{19}\\-3x=-y+\frac{253}{38}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+y=\frac{-575}{34}\\2x=-3y+\frac{-89}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+3y=\frac{-381}{152}\\x=4y+\frac{89}{38}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6y=\frac{-2181}{323}-5x\\-x+6y=\frac{-1155}{323}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4x+5y=\frac{-58}{9}\\5x=-y+\frac{319}{36}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-2y=\frac{-15}{4}\\6x+y=\frac{69}{8}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-3}{8})\}\)
2. \(\left\{\begin{matrix}x+5y=\frac{-99}{20}\\2x=5y+\frac{87}{20}\end{matrix}\right.\qquad V=\{(\frac{-1}{5},\frac{-19}{20})\}\)
3. \(\left\{\begin{matrix}-3x+2y=\frac{-67}{18}\\4x=-y+\frac{115}{18}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{7}{18})\}\)
4. \(\left\{\begin{matrix}5x-4y=\frac{81}{4}\\-x+5y=\frac{-429}{80}\end{matrix}\right.\qquad V=\{(\frac{19}{5},\frac{-5}{16})\}\)
5. \(\left\{\begin{matrix}3y=\frac{9}{4}+5x\\-5x+y=\frac{59}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{-4}{3})\}\)
6. \(\left\{\begin{matrix}-x-4y=\frac{370}{39}\\4x=-2y+\frac{-206}{39}\end{matrix}\right.\qquad V=\{(\frac{-2}{13},\frac{-7}{3})\}\)
7. \(\left\{\begin{matrix}-x+2y=\frac{310}{143}\\-4x-5y=\frac{-1633}{143}\end{matrix}\right.\qquad V=\{(\frac{12}{13},\frac{17}{11})\}\)
8. \(\left\{\begin{matrix}-4x-4y=\frac{254}{19}\\-3x=-y+\frac{253}{38}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-16}{19})\}\)
9. \(\left\{\begin{matrix}5x+y=\frac{-575}{34}\\2x=-3y+\frac{-89}{17}\end{matrix}\right.\qquad V=\{(\frac{-7}{2},\frac{10}{17})\}\)
10. \(\left\{\begin{matrix}4x+3y=\frac{-381}{152}\\x=4y+\frac{89}{38}\end{matrix}\right.\qquad V=\{(\frac{-3}{19},\frac{-5}{8})\}\)
11. \(\left\{\begin{matrix}6y=\frac{-2181}{323}-5x\\-x+6y=\frac{-1155}{323}\end{matrix}\right.\qquad V=\{(\frac{-9}{17},\frac{-13}{19})\}\)
12. \(\left\{\begin{matrix}-4x+5y=\frac{-58}{9}\\5x=-y+\frac{319}{36}\end{matrix}\right.\qquad V=\{(\frac{7}{4},\frac{1}{9})\}\)