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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5y=42-2x\\-2x+y=\frac{-186}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=\frac{-148}{209}-3x\\-2x-y=\frac{162}{209}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+6y=\frac{-549}{22}\\3x=y+\frac{287}{44}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-3y=-3\\-2x=y+4\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2x-6y=\frac{-12}{7}\\-3x=y+\frac{22}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-4y=\frac{62}{15}\\2x=2y+\frac{-19}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{273}{17}-3x\\3x+6y=\frac{385}{17}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4x+4y=\frac{-206}{7}\\6x=y+\frac{-47}{14}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4x+6y=8\\5x=-y+\frac{-75}{16}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x-5y=\frac{46}{7}\\-x=6y+\frac{2}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+6y=\frac{39}{70}\\-x+3y=\frac{159}{140}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+3y=\frac{35}{4}\\-x+y=\frac{-13}{12}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5y=42-2x\\-2x+y=\frac{-186}{5}\end{matrix}\right.\qquad V=\{(18,\frac{-6}{5})\}\)
2. \(\left\{\begin{matrix}2y=\frac{-148}{209}-3x\\-2x-y=\frac{162}{209}\end{matrix}\right.\qquad V=\{(\frac{-16}{19},\frac{10}{11})\}\)
3. \(\left\{\begin{matrix}-5x+6y=\frac{-549}{22}\\3x=y+\frac{287}{44}\end{matrix}\right.\qquad V=\{(\frac{12}{11},\frac{-13}{4})\}\)
4. \(\left\{\begin{matrix}3x-3y=-3\\-2x=y+4\end{matrix}\right.\qquad V=\{(\frac{-5}{3},\frac{-2}{3})\}\)
5. \(\left\{\begin{matrix}-2x-6y=\frac{-12}{7}\\-3x=y+\frac{22}{7}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{5}{7})\}\)
6. \(\left\{\begin{matrix}-x-4y=\frac{62}{15}\\2x=2y+\frac{-19}{15}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-7}{10})\}\)
7. \(\left\{\begin{matrix}-y=\frac{273}{17}-3x\\3x+6y=\frac{385}{17}\end{matrix}\right.\qquad V=\{(\frac{17}{3},\frac{16}{17})\}\)
8. \(\left\{\begin{matrix}-4x+4y=\frac{-206}{7}\\6x=y+\frac{-47}{14}\end{matrix}\right.\qquad V=\{(\frac{-15}{7},\frac{-19}{2})\}\)
9. \(\left\{\begin{matrix}-4x+6y=8\\5x=-y+\frac{-75}{16}\end{matrix}\right.\qquad V=\{(\frac{-17}{16},\frac{5}{8})\}\)
10. \(\left\{\begin{matrix}-4x-5y=\frac{46}{7}\\-x=6y+\frac{2}{7}\end{matrix}\right.\qquad V=\{(-2,\frac{2}{7})\}\)
11. \(\left\{\begin{matrix}-3x+6y=\frac{39}{70}\\-x+3y=\frac{159}{140}\end{matrix}\right.\qquad V=\{(\frac{12}{7},\frac{19}{20})\}\)
12. \(\left\{\begin{matrix}6x+3y=\frac{35}{4}\\-x+y=\frac{-13}{12}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{1}{4})\}\)