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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x-5y=\frac{-133}{12}\\-6x=2y+\frac{-119}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{-7}{2}+6x\\-3x+y=\frac{-3}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+4y=\frac{-37}{8}\\-x=6y+\frac{123}{16}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2y=\frac{503}{182}-3x\\3x+y=\frac{349}{182}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{31}{15}-x\\-5x-3y=\frac{-241}{30}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4x+6y=\frac{577}{57}\\2x-y=\frac{289}{114}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+y=\frac{-793}{304}\\-6x-3y=\frac{219}{304}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+5y=\frac{-551}{182}\\-4x=-y+\frac{223}{182}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{1081}{136}-5x\\3x-y=\frac{125}{136}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-y=\frac{11}{2}-6x\\4x-3y=\frac{-13}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-6y=\frac{-212}{11}\\x=-y+\frac{38}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{-1305}{323}-4x\\4x+y=\frac{-1077}{323}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x-5y=\frac{-133}{12}\\-6x=2y+\frac{-119}{6}\end{matrix}\right.\qquad V=\{(\frac{11}{4},\frac{5}{3})\}\)
2. \(\left\{\begin{matrix}3y=\frac{-7}{2}+6x\\-3x+y=\frac{-3}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-1}{2})\}\)
3. \(\left\{\begin{matrix}-2x+4y=\frac{-37}{8}\\-x=6y+\frac{123}{16}\end{matrix}\right.\qquad V=\{(\frac{-3}{16},\frac{-5}{4})\}\)
4. \(\left\{\begin{matrix}2y=\frac{503}{182}-3x\\3x+y=\frac{349}{182}\end{matrix}\right.\qquad V=\{(\frac{5}{14},\frac{11}{13})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{31}{15}-x\\-5x-3y=\frac{-241}{30}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-1}{10})\}\)
6. \(\left\{\begin{matrix}4x+6y=\frac{577}{57}\\2x-y=\frac{289}{114}\end{matrix}\right.\qquad V=\{(\frac{19}{12},\frac{12}{19})\}\)
7. \(\left\{\begin{matrix}-3x+y=\frac{-793}{304}\\-6x-3y=\frac{219}{304}\end{matrix}\right.\qquad V=\{(\frac{9}{19},\frac{-19}{16})\}\)
8. \(\left\{\begin{matrix}-3x+5y=\frac{-551}{182}\\-4x=-y+\frac{223}{182}\end{matrix}\right.\qquad V=\{(\frac{-7}{13},\frac{-13}{14})\}\)
9. \(\left\{\begin{matrix}3y=\frac{1081}{136}-5x\\3x-y=\frac{125}{136}\end{matrix}\right.\qquad V=\{(\frac{13}{17},\frac{11}{8})\}\)
10. \(\left\{\begin{matrix}-y=\frac{11}{2}-6x\\4x-3y=\frac{-13}{6}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{5}{2})\}\)
11. \(\left\{\begin{matrix}-5x-6y=\frac{-212}{11}\\x=-y+\frac{38}{11}\end{matrix}\right.\qquad V=\{(\frac{16}{11},2)\}\)
12. \(\left\{\begin{matrix}5y=\frac{-1305}{323}-4x\\4x+y=\frac{-1077}{323}\end{matrix}\right.\qquad V=\{(\frac{-15}{19},\frac{-3}{17})\}\)