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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x+4y=\frac{25}{4}\\-2x-y=\frac{-3}{2}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=-4-6x\\6x+y=11\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+2y=\frac{19}{60}\\-x=-y+\frac{-13}{60}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-2y=\frac{-275}{14}\\-3x+y=\frac{295}{14}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+y=\frac{-53}{24}\\-3x-5y=\frac{-437}{24}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-3y=\frac{-69}{19}\\x=-2y+\frac{32}{19}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{-453}{65}+5x\\x-5y=\frac{-24}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x-6y=\frac{-122}{21}\\-6x=-y+\frac{-143}{21}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-6y=\frac{-377}{44}\\2x-6y=\frac{-457}{44}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{-55}{136}+4x\\3x+5y=\frac{547}{136}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{345}{154}-5x\\x-4y=\frac{-246}{77}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}y=\frac{-8}{3}+4x\\-3x+3y=\frac{-7}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x+4y=\frac{25}{4}\\-2x-y=\frac{-3}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{7}{4})\}\)
2. \(\left\{\begin{matrix}-2y=-4-6x\\6x+y=11\end{matrix}\right.\qquad V=\{(1,5)\}\)
3. \(\left\{\begin{matrix}-5x+2y=\frac{19}{60}\\-x=-y+\frac{-13}{60}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{-7}{15})\}\)
4. \(\left\{\begin{matrix}3x-2y=\frac{-275}{14}\\-3x+y=\frac{295}{14}\end{matrix}\right.\qquad V=\{(\frac{-15}{2},\frac{-10}{7})\}\)
5. \(\left\{\begin{matrix}-3x+y=\frac{-53}{24}\\-3x-5y=\frac{-437}{24}\end{matrix}\right.\qquad V=\{(\frac{13}{8},\frac{8}{3})\}\)
6. \(\left\{\begin{matrix}2x-3y=\frac{-69}{19}\\x=-2y+\frac{32}{19}\end{matrix}\right.\qquad V=\{(\frac{-6}{19},1)\}\)
7. \(\left\{\begin{matrix}-2y=\frac{-453}{65}+5x\\x-5y=\frac{-24}{13}\end{matrix}\right.\qquad V=\{(\frac{15}{13},\frac{3}{5})\}\)
8. \(\left\{\begin{matrix}-6x-6y=\frac{-122}{21}\\-6x=-y+\frac{-143}{21}\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{-1}{7})\}\)
9. \(\left\{\begin{matrix}x-6y=\frac{-377}{44}\\2x-6y=\frac{-457}{44}\end{matrix}\right.\qquad V=\{(\frac{-20}{11},\frac{9}{8})\}\)
10. \(\left\{\begin{matrix}-y=\frac{-55}{136}+4x\\3x+5y=\frac{547}{136}\end{matrix}\right.\qquad V=\{(\frac{-2}{17},\frac{7}{8})\}\)
11. \(\left\{\begin{matrix}-3y=\frac{345}{154}-5x\\x-4y=\frac{-246}{77}\end{matrix}\right.\qquad V=\{(\frac{12}{11},\frac{15}{14})\}\)
12. \(\left\{\begin{matrix}y=\frac{-8}{3}+4x\\-3x+3y=\frac{-7}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-2}{3})\}\)