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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x+4y=7\\-x+5y=\frac{-13}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x+4y=\frac{-880}{57}\\-x+y=\frac{160}{57}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=-1+4x\\-x+y=\frac{11}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{-10}{3}+5x\\x+5y=\frac{-17}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+3y=\frac{160}{17}\\x+2y=\frac{184}{51}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{-13}{3}+3x\\-6x+y=\frac{-19}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{117}{8}-5x\\2x+4y=\frac{-47}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-4y=\frac{36}{11}\\5x+3y=\frac{479}{11}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{-309}{34}+6x\\-x-3y=\frac{-361}{204}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-3y=\frac{-121}{20}\\-2x+y=\frac{57}{20}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{41}{68}-3x\\3x+y=\frac{103}{340}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5x+3y=\frac{65}{6}\\x=4y+\frac{-27}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x+4y=7\\-x+5y=\frac{-13}{4}\end{matrix}\right.\qquad V=\{(-3,\frac{-5}{4})\}\)
2. \(\left\{\begin{matrix}4x+4y=\frac{-880}{57}\\-x+y=\frac{160}{57}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{-10}{19})\}\)
3. \(\left\{\begin{matrix}-4y=-1+4x\\-x+y=\frac{11}{20}\end{matrix}\right.\qquad V=\{(\frac{-3}{20},\frac{2}{5})\}\)
4. \(\left\{\begin{matrix}2y=\frac{-10}{3}+5x\\x+5y=\frac{-17}{15}\end{matrix}\right.\qquad V=\{(\frac{8}{15},\frac{-1}{3})\}\)
5. \(\left\{\begin{matrix}3x+3y=\frac{160}{17}\\x+2y=\frac{184}{51}\end{matrix}\right.\qquad V=\{(\frac{8}{3},\frac{8}{17})\}\)
6. \(\left\{\begin{matrix}4y=\frac{-13}{3}+3x\\-6x+y=\frac{-19}{3}\end{matrix}\right.\qquad V=\{(1,\frac{-1}{3})\}\)
7. \(\left\{\begin{matrix}-y=\frac{117}{8}-5x\\2x+4y=\frac{-47}{4}\end{matrix}\right.\qquad V=\{(\frac{17}{8},-4)\}\)
8. \(\left\{\begin{matrix}x-4y=\frac{36}{11}\\5x+3y=\frac{479}{11}\end{matrix}\right.\qquad V=\{(8,\frac{13}{11})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{-309}{34}+6x\\-x-3y=\frac{-361}{204}\end{matrix}\right.\qquad V=\{(\frac{17}{12},\frac{2}{17})\}\)
10. \(\left\{\begin{matrix}4x-3y=\frac{-121}{20}\\-2x+y=\frac{57}{20}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{7}{20})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{41}{68}-3x\\3x+y=\frac{103}{340}\end{matrix}\right.\qquad V=\{(\frac{2}{17},\frac{-1}{20})\}\)
12. \(\left\{\begin{matrix}-5x+3y=\frac{65}{6}\\x=4y+\frac{-27}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{10}{3})\}\)