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Substitutie of combinatie

1. \(\left\{\begin{matrix}3y=\frac{-557}{30}-4x\\4x+y=\frac{-479}{30}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2y=\frac{-61}{11}-4x\\x-y=\frac{-175}{44}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+5y=\frac{-8}{11}\\x+2y=\frac{-1}{11}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-6y=\frac{3}{5}\\-x+5y=-2\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+y=\frac{-409}{68}\\6x-4y=\frac{199}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{-257}{66}+2x\\-5x+y=\frac{-1427}{198}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+6y=\frac{272}{15}\\6x=y+\frac{-51}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x-2y=\frac{-29}{4}\\-3x=y+\frac{-105}{8}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-5y=\frac{132}{17}\\x=2y+\frac{179}{85}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}y=\frac{17}{7}-3x\\6x-4y=\frac{58}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-y=\frac{123}{136}\\6x=5y+\frac{241}{136}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x+5y=\frac{41}{2}\\-3x-3y=\frac{-33}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3y=\frac{-557}{30}-4x\\4x+y=\frac{-479}{30}\end{matrix}\right.\qquad V=\{(\frac{-11}{3},\frac{-13}{10})\}\)
2. \(\left\{\begin{matrix}2y=\frac{-61}{11}-4x\\x-y=\frac{-175}{44}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{19}{11})\}\)
3. \(\left\{\begin{matrix}2x+5y=\frac{-8}{11}\\x+2y=\frac{-1}{11}\end{matrix}\right.\qquad V=\{(1,\frac{-6}{11})\}\)
4. \(\left\{\begin{matrix}3x-6y=\frac{3}{5}\\-x+5y=-2\end{matrix}\right.\qquad V=\{(-1,\frac{-3}{5})\}\)
5. \(\left\{\begin{matrix}2x+y=\frac{-409}{68}\\6x-4y=\frac{199}{17}\end{matrix}\right.\qquad V=\{(\frac{-15}{17},\frac{-17}{4})\}\)
6. \(\left\{\begin{matrix}3y=\frac{-257}{66}+2x\\-5x+y=\frac{-1427}{198}\end{matrix}\right.\qquad V=\{(\frac{15}{11},\frac{-7}{18})\}\)
7. \(\left\{\begin{matrix}-2x+6y=\frac{272}{15}\\6x=y+\frac{-51}{5}\end{matrix}\right.\qquad V=\{(\frac{-19}{15},\frac{13}{5})\}\)
8. \(\left\{\begin{matrix}2x-2y=\frac{-29}{4}\\-3x=y+\frac{-105}{8}\end{matrix}\right.\qquad V=\{(\frac{19}{8},6)\}\)
9. \(\left\{\begin{matrix}-6x-5y=\frac{132}{17}\\x=2y+\frac{179}{85}\end{matrix}\right.\qquad V=\{(\frac{-5}{17},\frac{-6}{5})\}\)
10. \(\left\{\begin{matrix}y=\frac{17}{7}-3x\\6x-4y=\frac{58}{7}\end{matrix}\right.\qquad V=\{(1,\frac{-4}{7})\}\)
11. \(\left\{\begin{matrix}2x-y=\frac{123}{136}\\6x=5y+\frac{241}{136}\end{matrix}\right.\qquad V=\{(\frac{11}{16},\frac{8}{17})\}\)
12. \(\left\{\begin{matrix}-x+5y=\frac{41}{2}\\-3x-3y=\frac{-33}{10}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{18}{5})\}\)