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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{169}{19}+3x\\x+3y=\frac{-295}{57}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+2y=\frac{-1032}{91}\\-4x=-y+\frac{394}{91}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{-590}{11}-6x\\5x+y=\frac{-494}{11}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6y=\frac{-1311}{187}+3x\\x+6y=\frac{-651}{187}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{-537}{5}+6x\\-5x-y=\frac{-449}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x-6y=\frac{-281}{34}\\-3x=-4y+\frac{703}{34}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+5y=\frac{1305}{208}\\-x+3y=\frac{627}{208}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}5y=\frac{-74}{9}+5x\\-2x-y=\frac{-358}{45}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+y=\frac{223}{26}\\5x+4y=\frac{851}{104}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{83}{30}+2x\\2x-y=\frac{-101}{60}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{289}{57}-3x\\5x-y=\frac{851}{171}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{275}{266}-3x\\x+3y=\frac{241}{266}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{169}{19}+3x\\x+3y=\frac{-295}{57}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{-18}{19})\}\)
2. \(\left\{\begin{matrix}6x+2y=\frac{-1032}{91}\\-4x=-y+\frac{394}{91}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{-18}{13})\}\)
3. \(\left\{\begin{matrix}4y=\frac{-590}{11}-6x\\5x+y=\frac{-494}{11}\end{matrix}\right.\qquad V=\{(-9,\frac{1}{11})\}\)
4. \(\left\{\begin{matrix}6y=\frac{-1311}{187}+3x\\x+6y=\frac{-651}{187}\end{matrix}\right.\qquad V=\{(\frac{15}{17},\frac{-8}{11})\}\)
5. \(\left\{\begin{matrix}-3y=\frac{-537}{5}+6x\\-5x-y=\frac{-449}{5}\end{matrix}\right.\qquad V=\{(18,\frac{-1}{5})\}\)
6. \(\left\{\begin{matrix}x-6y=\frac{-281}{34}\\-3x=-4y+\frac{703}{34}\end{matrix}\right.\qquad V=\{(\frac{-13}{2},\frac{5}{17})\}\)
7. \(\left\{\begin{matrix}-3x+5y=\frac{1305}{208}\\-x+3y=\frac{627}{208}\end{matrix}\right.\qquad V=\{(\frac{-15}{16},\frac{9}{13})\}\)
8. \(\left\{\begin{matrix}5y=\frac{-74}{9}+5x\\-2x-y=\frac{-358}{45}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{14}{9})\}\)
9. \(\left\{\begin{matrix}4x+y=\frac{223}{26}\\5x+4y=\frac{851}{104}\end{matrix}\right.\qquad V=\{(\frac{19}{8},\frac{-12}{13})\}\)
10. \(\left\{\begin{matrix}2y=\frac{83}{30}+2x\\2x-y=\frac{-101}{60}\end{matrix}\right.\qquad V=\{(\frac{-3}{10},\frac{13}{12})\}\)
11. \(\left\{\begin{matrix}3y=\frac{289}{57}-3x\\5x-y=\frac{851}{171}\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{11}{19})\}\)
12. \(\left\{\begin{matrix}5y=\frac{275}{266}-3x\\x+3y=\frac{241}{266}\end{matrix}\right.\qquad V=\{(\frac{-5}{14},\frac{8}{19})\}\)