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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-2y=\frac{79}{42}\\-x=-y+\frac{-31}{84}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3y=\frac{45}{11}+x\\3x-6y=\frac{140}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-5x+3y=\frac{29}{7}\\x=y+\frac{-5}{7}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-3y=\frac{7}{8}\\x+y=\frac{1}{16}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x-2y=\frac{25}{8}\\-6x=-5y+\frac{-19}{4}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}5x-y=\frac{253}{15}\\2x=2y+\frac{106}{15}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4y=\frac{291}{55}-3x\\-5x-y=\frac{-783}{110}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-4y=\frac{-97}{39}\\-3x=-4y+\frac{41}{13}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+2y=\frac{-17}{24}\\-6x+2y=\frac{65}{12}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x-4y=\frac{83}{12}\\x=y+\frac{67}{24}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{-69}{28}-2x\\-5x-2y=\frac{165}{56}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=\frac{79}{5}-6x\\-x-3y=\frac{-41}{10}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-2y=\frac{79}{42}\\-x=-y+\frac{-31}{84}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{-1}{12})\}\)
2. \(\left\{\begin{matrix}-3y=\frac{45}{11}+x\\3x-6y=\frac{140}{11}\end{matrix}\right.\qquad V=\{(\frac{10}{11},\frac{-5}{3})\}\)
3. \(\left\{\begin{matrix}-5x+3y=\frac{29}{7}\\x=y+\frac{-5}{7}\end{matrix}\right.\qquad V=\{(-1,\frac{-2}{7})\}\)
4. \(\left\{\begin{matrix}-2x-3y=\frac{7}{8}\\x+y=\frac{1}{16}\end{matrix}\right.\qquad V=\{(\frac{17}{16},-1)\}\)
5. \(\left\{\begin{matrix}x-2y=\frac{25}{8}\\-6x=-5y+\frac{-19}{4}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},-2)\}\)
6. \(\left\{\begin{matrix}5x-y=\frac{253}{15}\\2x=2y+\frac{106}{15}\end{matrix}\right.\qquad V=\{(\frac{10}{3},\frac{-1}{5})\}\)
7. \(\left\{\begin{matrix}4y=\frac{291}{55}-3x\\-5x-y=\frac{-783}{110}\end{matrix}\right.\qquad V=\{(\frac{15}{11},\frac{3}{10})\}\)
8. \(\left\{\begin{matrix}x-4y=\frac{-97}{39}\\-3x=-4y+\frac{41}{13}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},\frac{7}{13})\}\)
9. \(\left\{\begin{matrix}x+2y=\frac{-17}{24}\\-6x+2y=\frac{65}{12}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{1}{12})\}\)
10. \(\left\{\begin{matrix}2x-4y=\frac{83}{12}\\x=y+\frac{67}{24}\end{matrix}\right.\qquad V=\{(\frac{17}{8},\frac{-2}{3})\}\)
11. \(\left\{\begin{matrix}-y=\frac{-69}{28}-2x\\-5x-2y=\frac{165}{56}\end{matrix}\right.\qquad V=\{(\frac{-7}{8},\frac{5}{7})\}\)
12. \(\left\{\begin{matrix}6y=\frac{79}{5}-6x\\-x-3y=\frac{-41}{10}\end{matrix}\right.\qquad V=\{(\frac{19}{10},\frac{11}{15})\}\)