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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+6y=\frac{17}{5}\\-5x=-6y+19\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-3y=\frac{159}{5}\\-x=5y+\frac{233}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5y=\frac{-13}{2}-3x\\x+4y=\frac{44}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x-3y=\frac{-45}{22}\\-x=4y+\frac{-98}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{-34}{7}-5x\\-4x+y=\frac{4}{35}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x+4y=\frac{1252}{119}\\-x=3y+\frac{183}{119}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{38}{11}-x\\6x-4y=\frac{-102}{11}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4y=\frac{127}{5}-x\\-5x-5y=-73\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+y=\frac{-268}{15}\\-5x=-2y+\frac{229}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-2y=\frac{-319}{21}\\-x=-y+\frac{44}{21}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2x-y=\frac{721}{171}\\-5x=2y+\frac{1622}{171}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x+2y=\frac{20}{17}\\6x-y=\frac{-130}{17}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+6y=\frac{17}{5}\\-5x=-6y+19\end{matrix}\right.\qquad V=\{(\frac{-13}{5},1)\}\)
2. \(\left\{\begin{matrix}-3x-3y=\frac{159}{5}\\-x=5y+\frac{233}{5}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},-9)\}\)
3. \(\left\{\begin{matrix}-5y=\frac{-13}{2}-3x\\x+4y=\frac{44}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{9}{10})\}\)
4. \(\left\{\begin{matrix}-5x-3y=\frac{-45}{22}\\-x=4y+\frac{-98}{11}\end{matrix}\right.\qquad V=\{(\frac{-12}{11},\frac{5}{2})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{-34}{7}-5x\\-4x+y=\frac{4}{35}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{12}{7})\}\)
6. \(\left\{\begin{matrix}-6x+4y=\frac{1252}{119}\\-x=3y+\frac{183}{119}\end{matrix}\right.\qquad V=\{(\frac{-12}{7},\frac{1}{17})\}\)
7. \(\left\{\begin{matrix}y=\frac{38}{11}-x\\6x-4y=\frac{-102}{11}\end{matrix}\right.\qquad V=\{(\frac{5}{11},3)\}\)
8. \(\left\{\begin{matrix}4y=\frac{127}{5}-x\\-5x-5y=-73\end{matrix}\right.\qquad V=\{(11,\frac{18}{5})\}\)
9. \(\left\{\begin{matrix}5x+y=\frac{-268}{15}\\-5x=-2y+\frac{229}{15}\end{matrix}\right.\qquad V=\{(\frac{-17}{5},\frac{-13}{15})\}\)
10. \(\left\{\begin{matrix}5x-2y=\frac{-319}{21}\\-x=-y+\frac{44}{21}\end{matrix}\right.\qquad V=\{(\frac{-11}{3},\frac{-11}{7})\}\)
11. \(\left\{\begin{matrix}-2x-y=\frac{721}{171}\\-5x=2y+\frac{1622}{171}\end{matrix}\right.\qquad V=\{(\frac{-20}{19},\frac{-19}{9})\}\)
12. \(\left\{\begin{matrix}3x+2y=\frac{20}{17}\\6x-y=\frac{-130}{17}\end{matrix}\right.\qquad V=\{(\frac{-16}{17},2)\}\)