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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-2y=\frac{-219}{35}\\-x=y+\frac{83}{35}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x-y=\frac{1296}{119}\\-6x=-2y+\frac{1454}{119}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x+4y=\frac{56}{15}\\-5x-y=\frac{-176}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+5y=\frac{-143}{14}\\x+5y=\frac{-179}{14}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x+4y=\frac{-544}{165}\\-2x=5y+\frac{145}{33}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}y=\frac{-9}{28}+x\\-2x-4y=\frac{207}{14}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{92}{9}-3x\\-x+3y=\frac{10}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=\frac{11}{5}-3x\\-3x+y=\frac{-1}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x-3y=\frac{59}{68}\\-x=-6y+\frac{-271}{68}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4y=\frac{1128}{323}-5x\\-x-y=\frac{-263}{323}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6x+4y=\frac{-17}{3}\\-5x-y=\frac{5}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x+2y=\frac{346}{65}\\x=-6y+\frac{158}{65}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-2y=\frac{-219}{35}\\-x=y+\frac{83}{35}\end{matrix}\right.\qquad V=\{(\frac{-11}{7},\frac{-4}{5})\}\)
2. \(\left\{\begin{matrix}-4x-y=\frac{1296}{119}\\-6x=-2y+\frac{1454}{119}\end{matrix}\right.\qquad V=\{(\frac{-17}{7},\frac{-20}{17})\}\)
3. \(\left\{\begin{matrix}2x+4y=\frac{56}{15}\\-5x-y=\frac{-176}{15}\end{matrix}\right.\qquad V=\{(\frac{12}{5},\frac{-4}{15})\}\)
4. \(\left\{\begin{matrix}-3x+5y=\frac{-143}{14}\\x+5y=\frac{-179}{14}\end{matrix}\right.\qquad V=\{(\frac{-9}{14},\frac{-17}{7})\}\)
5. \(\left\{\begin{matrix}x+4y=\frac{-544}{165}\\-2x=5y+\frac{145}{33}\end{matrix}\right.\qquad V=\{(\frac{-4}{11},\frac{-11}{15})\}\)
6. \(\left\{\begin{matrix}y=\frac{-9}{28}+x\\-2x-4y=\frac{207}{14}\end{matrix}\right.\qquad V=\{(\frac{-9}{4},\frac{-18}{7})\}\)
7. \(\left\{\begin{matrix}4y=\frac{92}{9}-3x\\-x+3y=\frac{10}{3}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{14}{9})\}\)
8. \(\left\{\begin{matrix}6y=\frac{11}{5}-3x\\-3x+y=\frac{-1}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{4}{15})\}\)
9. \(\left\{\begin{matrix}5x-3y=\frac{59}{68}\\-x=-6y+\frac{-271}{68}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-12}{17})\}\)
10. \(\left\{\begin{matrix}4y=\frac{1128}{323}-5x\\-x-y=\frac{-263}{323}\end{matrix}\right.\qquad V=\{(\frac{4}{17},\frac{11}{19})\}\)
11. \(\left\{\begin{matrix}-6x+4y=\frac{-17}{3}\\-5x-y=\frac{5}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{-5}{3})\}\)
12. \(\left\{\begin{matrix}4x+2y=\frac{346}{65}\\x=-6y+\frac{158}{65}\end{matrix}\right.\qquad V=\{(\frac{16}{13},\frac{1}{5})\}\)