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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-5y=\frac{11}{12}\\-2x-4y=\frac{17}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}x+2y=\frac{103}{20}\\2x=2y+\frac{23}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x+3y=\frac{31}{39}\\x-2y=\frac{-38}{39}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5y=\frac{2309}{153}+6x\\x-3y=\frac{241}{51}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-4y=\frac{-151}{39}\\-x=3y+\frac{137}{52}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+3y=\frac{-195}{17}\\6x+4y=\frac{-218}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x-6y=\frac{327}{56}\\x-6y=\frac{173}{56}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-y=\frac{-173}{19}\\5x=5y+\frac{1035}{19}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{-497}{38}+3x\\x-6y=\frac{123}{38}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x-3y=\frac{217}{20}\\6x=-y+\frac{-259}{20}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x+6y=\frac{214}{133}\\4x=y+\frac{851}{133}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3y=\frac{-123}{65}+3x\\-2x-y=\frac{-56}{65}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-5y=\frac{11}{12}\\-2x-4y=\frac{17}{6}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-1}{3})\}\)
2. \(\left\{\begin{matrix}x+2y=\frac{103}{20}\\2x=2y+\frac{23}{5}\end{matrix}\right.\qquad V=\{(\frac{13}{4},\frac{19}{20})\}\)
3. \(\left\{\begin{matrix}-2x+3y=\frac{31}{39}\\x-2y=\frac{-38}{39}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{15}{13})\}\)
4. \(\left\{\begin{matrix}-5y=\frac{2309}{153}+6x\\x-3y=\frac{241}{51}\end{matrix}\right.\qquad V=\{(\frac{-16}{17},\frac{-17}{9})\}\)
5. \(\left\{\begin{matrix}4x-4y=\frac{-151}{39}\\-x=3y+\frac{137}{52}\end{matrix}\right.\qquad V=\{(\frac{-18}{13},\frac{-5}{12})\}\)
6. \(\left\{\begin{matrix}x+3y=\frac{-195}{17}\\6x+4y=\frac{-218}{17}\end{matrix}\right.\qquad V=\{(\frac{9}{17},-4)\}\)
7. \(\left\{\begin{matrix}3x-6y=\frac{327}{56}\\x-6y=\frac{173}{56}\end{matrix}\right.\qquad V=\{(\frac{11}{8},\frac{-2}{7})\}\)
8. \(\left\{\begin{matrix}-x-y=\frac{-173}{19}\\5x=5y+\frac{1035}{19}\end{matrix}\right.\qquad V=\{(10,\frac{-17}{19})\}\)
9. \(\left\{\begin{matrix}2y=\frac{-497}{38}+3x\\x-6y=\frac{123}{38}\end{matrix}\right.\qquad V=\{(\frac{9}{2},\frac{4}{19})\}\)
10. \(\left\{\begin{matrix}-4x-3y=\frac{217}{20}\\6x=-y+\frac{-259}{20}\end{matrix}\right.\qquad V=\{(-2,\frac{-19}{20})\}\)
11. \(\left\{\begin{matrix}4x+6y=\frac{214}{133}\\4x=y+\frac{851}{133}\end{matrix}\right.\qquad V=\{(\frac{10}{7},\frac{-13}{19})\}\)
12. \(\left\{\begin{matrix}-3y=\frac{-123}{65}+3x\\-2x-y=\frac{-56}{65}\end{matrix}\right.\qquad V=\{(\frac{3}{13},\frac{2}{5})\}\)