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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-5y=\frac{684}{65}\\3x+y=\frac{171}{130}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}y=\frac{-512}{91}+4x\\2x-3y=\frac{431}{91}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+6y=\frac{-11}{10}\\x+3y=\frac{-7}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{-231}{104}+2x\\-x-2y=\frac{-151}{208}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5x-5y=\frac{15}{4}\\-x-2y=\frac{7}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+5y=\frac{-490}{143}\\3x-y=\frac{450}{143}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+y=\frac{100}{9}\\-3x=-6y+\frac{-59}{6}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5y=\frac{-7}{5}-6x\\x-5y=\frac{37}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+3y=\frac{-317}{57}\\x+4y=\frac{8}{57}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=\frac{244}{15}-4x\\-x+5y=\frac{-67}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{-270}{133}+6x\\-4x-y=\frac{-159}{133}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-5y=\frac{-10}{9}\\4x=-y+\frac{19}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-5y=\frac{684}{65}\\3x+y=\frac{171}{130}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{-18}{13})\}\)
2. \(\left\{\begin{matrix}y=\frac{-512}{91}+4x\\2x-3y=\frac{431}{91}\end{matrix}\right.\qquad V=\{(\frac{17}{14},\frac{-10}{13})\}\)
3. \(\left\{\begin{matrix}3x+6y=\frac{-11}{10}\\x+3y=\frac{-7}{15}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{-1}{10})\}\)
4. \(\left\{\begin{matrix}-5y=\frac{-231}{104}+2x\\-x-2y=\frac{-151}{208}\end{matrix}\right.\qquad V=\{(\frac{-13}{16},\frac{10}{13})\}\)
5. \(\left\{\begin{matrix}-5x-5y=\frac{15}{4}\\-x-2y=\frac{7}{4}\end{matrix}\right.\qquad V=\{(\frac{1}{4},-1)\}\)
6. \(\left\{\begin{matrix}-5x+5y=\frac{-490}{143}\\3x-y=\frac{450}{143}\end{matrix}\right.\qquad V=\{(\frac{16}{13},\frac{6}{11})\}\)
7. \(\left\{\begin{matrix}4x+y=\frac{100}{9}\\-3x=-6y+\frac{-59}{6}\end{matrix}\right.\qquad V=\{(\frac{17}{6},\frac{-2}{9})\}\)
8. \(\left\{\begin{matrix}-5y=\frac{-7}{5}-6x\\x-5y=\frac{37}{20}\end{matrix}\right.\qquad V=\{(\frac{-13}{20},\frac{-1}{2})\}\)
9. \(\left\{\begin{matrix}5x+3y=\frac{-317}{57}\\x+4y=\frac{8}{57}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{7}{19})\}\)
10. \(\left\{\begin{matrix}-6y=\frac{244}{15}-4x\\-x+5y=\frac{-67}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{15},\frac{-8}{3})\}\)
11. \(\left\{\begin{matrix}-6y=\frac{-270}{133}+6x\\-4x-y=\frac{-159}{133}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{1}{19})\}\)
12. \(\left\{\begin{matrix}-3x-5y=\frac{-10}{9}\\4x=-y+\frac{19}{9}\end{matrix}\right.\qquad V=\{(\frac{5}{9},\frac{-1}{9})\}\)