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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{3}{11}-4x\\x+4y=\frac{-21}{44}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+5y=\frac{40}{3}\\-2x+y=\frac{1}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=-15+6x\\-x-y=-7\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{44}{5}-2x\\-3x-y=\frac{-9}{20}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x+y=\frac{-23}{12}\\-3x=-5y+\frac{-43}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6y=\frac{99}{10}-6x\\5x-y=\frac{81}{20}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{115}{16}-x\\-5x-5y=\frac{385}{16}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x-2y=\frac{-52}{3}\\-x+4y=\frac{613}{18}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{-38}{5}-6x\\-2x-y=\frac{49}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{-891}{65}-4x\\3x-3y=\frac{-837}{65}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-6y=\frac{23}{4}\\-6x=-y+\frac{-53}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x-2y=\frac{-273}{110}\\x=-5y+\frac{81}{44}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{3}{11}-4x\\x+4y=\frac{-21}{44}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-2}{11})\}\)
2. \(\left\{\begin{matrix}4x+5y=\frac{40}{3}\\-2x+y=\frac{1}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{6},2)\}\)
3. \(\left\{\begin{matrix}3y=-15+6x\\-x-y=-7\end{matrix}\right.\qquad V=\{(4,3)\}\)
4. \(\left\{\begin{matrix}-5y=\frac{44}{5}-2x\\-3x-y=\frac{-9}{20}\end{matrix}\right.\qquad V=\{(\frac{13}{20},\frac{-3}{2})\}\)
5. \(\left\{\begin{matrix}x+y=\frac{-23}{12}\\-3x=-5y+\frac{-43}{12}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-7}{6})\}\)
6. \(\left\{\begin{matrix}6y=\frac{99}{10}-6x\\5x-y=\frac{81}{20}\end{matrix}\right.\qquad V=\{(\frac{19}{20},\frac{7}{10})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{115}{16}-x\\-5x-5y=\frac{385}{16}\end{matrix}\right.\qquad V=\{(\frac{-13}{16},-4)\}\)
8. \(\left\{\begin{matrix}6x-2y=\frac{-52}{3}\\-x+4y=\frac{613}{18}\end{matrix}\right.\qquad V=\{(\frac{-1}{18},\frac{17}{2})\}\)
9. \(\left\{\begin{matrix}2y=\frac{-38}{5}-6x\\-2x-y=\frac{49}{15}\end{matrix}\right.\qquad V=\{(\frac{-8}{15},\frac{-11}{5})\}\)
10. \(\left\{\begin{matrix}y=\frac{-891}{65}-4x\\3x-3y=\frac{-837}{65}\end{matrix}\right.\qquad V=\{(\frac{-18}{5},\frac{9}{13})\}\)
11. \(\left\{\begin{matrix}2x-6y=\frac{23}{4}\\-6x=-y+\frac{-53}{8}\end{matrix}\right.\qquad V=\{(1,\frac{-5}{8})\}\)
12. \(\left\{\begin{matrix}-2x-2y=\frac{-273}{110}\\x=-5y+\frac{81}{44}\end{matrix}\right.\qquad V=\{(\frac{12}{11},\frac{3}{20})\}\)