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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x+y=\frac{-59}{3}\\6x=4y+\frac{242}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+3y=\frac{-1137}{119}\\2x=y+\frac{414}{119}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-3y=\frac{-499}{90}\\-6x+4y=\frac{227}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4y=\frac{-20}{3}+3x\\x-4y=\frac{-4}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{-681}{28}-x\\-5x+5y=\frac{745}{28}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x-2y=\frac{13}{35}\\-x=-6y+\frac{-79}{35}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2y=\frac{-41}{2}-3x\\-3x+y=\frac{-19}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{59}{9}+5x\\x+y=\frac{-16}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x-4y=\frac{-69}{14}\\2x=y+\frac{9}{14}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+6y=\frac{-470}{17}\\5x-y=\frac{35}{17}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+y=\frac{125}{77}\\-4x=-2y+\frac{-80}{77}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+2y=-7\\-5x+y=\frac{-33}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x+y=\frac{-59}{3}\\6x=4y+\frac{242}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{9},-20)\}\)
2. \(\left\{\begin{matrix}-5x+3y=\frac{-1137}{119}\\2x=y+\frac{414}{119}\end{matrix}\right.\qquad V=\{(\frac{15}{17},\frac{-12}{7})\}\)
3. \(\left\{\begin{matrix}-x-3y=\frac{-499}{90}\\-6x+4y=\frac{227}{15}\end{matrix}\right.\qquad V=\{(\frac{-19}{18},\frac{11}{5})\}\)
4. \(\left\{\begin{matrix}-4y=\frac{-20}{3}+3x\\x-4y=\frac{-4}{3}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{2}{3})\}\)
5. \(\left\{\begin{matrix}-5y=\frac{-681}{28}-x\\-5x+5y=\frac{745}{28}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{19}{4})\}\)
6. \(\left\{\begin{matrix}3x-2y=\frac{13}{35}\\-x=-6y+\frac{-79}{35}\end{matrix}\right.\qquad V=\{(\frac{-1}{7},\frac{-2}{5})\}\)
7. \(\left\{\begin{matrix}2y=\frac{-41}{2}-3x\\-3x+y=\frac{-19}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},-10)\}\)
8. \(\left\{\begin{matrix}2y=\frac{59}{9}+5x\\x+y=\frac{-16}{9}\end{matrix}\right.\qquad V=\{(\frac{-13}{9},\frac{-1}{3})\}\)
9. \(\left\{\begin{matrix}-2x-4y=\frac{-69}{14}\\2x=y+\frac{9}{14}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{6}{7})\}\)
10. \(\left\{\begin{matrix}-4x+6y=\frac{-470}{17}\\5x-y=\frac{35}{17}\end{matrix}\right.\qquad V=\{(\frac{-10}{17},-5)\}\)
11. \(\left\{\begin{matrix}x+y=\frac{125}{77}\\-4x=-2y+\frac{-80}{77}\end{matrix}\right.\qquad V=\{(\frac{5}{7},\frac{10}{11})\}\)
12. \(\left\{\begin{matrix}-2x+2y=-7\\-5x+y=\frac{-33}{2}\end{matrix}\right.\qquad V=\{(\frac{13}{4},\frac{-1}{4})\}\)