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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-y=\frac{116}{15}\\-5x+2y=\frac{-302}{15}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+4y=\frac{-42}{323}\\-6x+6y=\frac{-318}{323}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{171}{16}+3x\\-x-4y=\frac{-143}{16}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}y=\frac{-13}{15}+x\\3x+6y=\frac{-41}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-2y=\frac{-197}{10}\\x+4y=\frac{-101}{10}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x-6y=\frac{778}{35}\\-x+2y=\frac{-26}{35}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-6y=\frac{318}{119}\\-x+y=\frac{87}{119}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x+4y=\frac{125}{3}\\4x=4y+\frac{-68}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x-6y=\frac{-1483}{190}\\3x+y=\frac{-839}{380}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x+2y=\frac{-198}{7}\\x+6y=\frac{359}{14}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+3y=\frac{59}{18}\\-4x=6y+\frac{-64}{9}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+4y=\frac{-168}{5}\\6x+y=\frac{-201}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-y=\frac{116}{15}\\-5x+2y=\frac{-302}{15}\end{matrix}\right.\qquad V=\{(\frac{14}{3},\frac{8}{5})\}\)
2. \(\left\{\begin{matrix}x+4y=\frac{-42}{323}\\-6x+6y=\frac{-318}{323}\end{matrix}\right.\qquad V=\{(\frac{2}{19},\frac{-1}{17})\}\)
3. \(\left\{\begin{matrix}3y=\frac{171}{16}+3x\\-x-4y=\frac{-143}{16}\end{matrix}\right.\qquad V=\{(\frac{-17}{16},\frac{5}{2})\}\)
4. \(\left\{\begin{matrix}y=\frac{-13}{15}+x\\3x+6y=\frac{-41}{5}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{-6}{5})\}\)
5. \(\left\{\begin{matrix}5x-2y=\frac{-197}{10}\\x+4y=\frac{-101}{10}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},\frac{-7}{5})\}\)
6. \(\left\{\begin{matrix}-4x-6y=\frac{778}{35}\\-x+2y=\frac{-26}{35}\end{matrix}\right.\qquad V=\{(\frac{-20}{7},\frac{-9}{5})\}\)
7. \(\left\{\begin{matrix}-6x-6y=\frac{318}{119}\\-x+y=\frac{87}{119}\end{matrix}\right.\qquad V=\{(\frac{-10}{17},\frac{1}{7})\}\)
8. \(\left\{\begin{matrix}-x+4y=\frac{125}{3}\\4x=4y+\frac{-68}{3}\end{matrix}\right.\qquad V=\{(\frac{19}{3},12)\}\)
9. \(\left\{\begin{matrix}2x-6y=\frac{-1483}{190}\\3x+y=\frac{-839}{380}\end{matrix}\right.\qquad V=\{(\frac{-20}{19},\frac{19}{20})\}\)
10. \(\left\{\begin{matrix}-4x+2y=\frac{-198}{7}\\x+6y=\frac{359}{14}\end{matrix}\right.\qquad V=\{(\frac{17}{2},\frac{20}{7})\}\)
11. \(\left\{\begin{matrix}x+3y=\frac{59}{18}\\-4x=6y+\frac{-64}{9}\end{matrix}\right.\qquad V=\{(\frac{5}{18},1)\}\)
12. \(\left\{\begin{matrix}6x+4y=\frac{-168}{5}\\6x+y=\frac{-201}{10}\end{matrix}\right.\qquad V=\{(\frac{-13}{5},\frac{-9}{2})\}\)