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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-2y=\frac{-167}{63}\\-3x=-3y+\frac{122}{21}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4x+y=\frac{-289}{4}\\-3x-6y=\frac{-105}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{-233}{204}+x\\-2x-2y=\frac{-233}{102}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+2y=\frac{15}{17}\\3x=y+\frac{-79}{34}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+5y=\frac{-221}{14}\\x=-6y+\frac{-715}{56}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x-4y=\frac{520}{11}\\x-y=\frac{130}{11}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-5y=\frac{-185}{7}\\-2x-2y=\frac{-242}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-6y=\frac{-2007}{340}\\-3x+6y=\frac{1701}{340}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}y=\frac{-6}{7}-6x\\6x+4y=\frac{39}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{-153}{11}-6x\\-6x+y=\frac{9}{22}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-3y=\frac{171}{52}\\-3x-6y=\frac{231}{26}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{-79}{15}+4x\\-5x+y=\frac{-373}{30}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-2y=\frac{-167}{63}\\-3x=-3y+\frac{122}{21}\end{matrix}\right.\qquad V=\{(\frac{-11}{9},\frac{5}{7})\}\)
2. \(\left\{\begin{matrix}-4x+y=\frac{-289}{4}\\-3x-6y=\frac{-105}{2}\end{matrix}\right.\qquad V=\{(18,\frac{-1}{4})\}\)
3. \(\left\{\begin{matrix}-y=\frac{-233}{204}+x\\-2x-2y=\frac{-233}{102}\end{matrix}\right.\qquad V=\{(\frac{1}{12},\frac{18}{17})\}\)
4. \(\left\{\begin{matrix}-2x+2y=\frac{15}{17}\\3x=y+\frac{-79}{34}\end{matrix}\right.\qquad V=\{(\frac{-16}{17},\frac{-1}{2})\}\)
5. \(\left\{\begin{matrix}4x+5y=\frac{-221}{14}\\x=-6y+\frac{-715}{56}\end{matrix}\right.\qquad V=\{(\frac{-13}{8},\frac{-13}{7})\}\)
6. \(\left\{\begin{matrix}4x-4y=\frac{520}{11}\\x-y=\frac{130}{11}\end{matrix}\right.\qquad V=\{(13,\frac{13}{11})\}\)
7. \(\left\{\begin{matrix}-x-5y=\frac{-185}{7}\\-2x-2y=\frac{-242}{7}\end{matrix}\right.\qquad V=\{(15,\frac{16}{7})\}\)
8. \(\left\{\begin{matrix}x-6y=\frac{-2007}{340}\\-3x+6y=\frac{1701}{340}\end{matrix}\right.\qquad V=\{(\frac{9}{20},\frac{18}{17})\}\)
9. \(\left\{\begin{matrix}y=\frac{-6}{7}-6x\\6x+4y=\frac{39}{7}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{15}{7})\}\)
10. \(\left\{\begin{matrix}2y=\frac{-153}{11}-6x\\-6x+y=\frac{9}{22}\end{matrix}\right.\qquad V=\{(\frac{-9}{11},\frac{-9}{2})\}\)
11. \(\left\{\begin{matrix}x-3y=\frac{171}{52}\\-3x-6y=\frac{231}{26}\end{matrix}\right.\qquad V=\{(\frac{-6}{13},\frac{-5}{4})\}\)
12. \(\left\{\begin{matrix}6y=\frac{-79}{15}+4x\\-5x+y=\frac{-373}{30}\end{matrix}\right.\qquad V=\{(\frac{8}{3},\frac{9}{10})\}\)