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Substitutie of combinatie

1. \(\left\{\begin{matrix}-x-5y=\frac{-37}{6}\\-4x-4y=\frac{-34}{15}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-2y=\frac{369}{34}\\-4x+y=\frac{-559}{68}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5y=\frac{9}{14}+x\\-5x-4y=\frac{-598}{35}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+5y=-5\\-2x=-y+\frac{-1}{9}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=28-2x\\-x+6y=-22\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+4y=\frac{-38}{9}\\-x-y=\frac{-229}{90}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{-21}{2}+3x\\-6x+y=-28\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x+y=\frac{-37}{12}\\6x-4y=3\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-2x+y=\frac{-62}{21}\\-4x=-6y+\frac{-232}{21}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-6y=\frac{-177}{8}\\-x=y+\frac{61}{16}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-3y=\frac{453}{13}\\-3x-y=\frac{-356}{13}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-6y=\frac{12}{5}\\-x=-6y+\frac{6}{5}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-x-5y=\frac{-37}{6}\\-4x-4y=\frac{-34}{15}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{7}{5})\}\)
2. \(\left\{\begin{matrix}3x-2y=\frac{369}{34}\\-4x+y=\frac{-559}{68}\end{matrix}\right.\qquad V=\{(\frac{19}{17},\frac{-15}{4})\}\)
3. \(\left\{\begin{matrix}5y=\frac{9}{14}+x\\-5x-4y=\frac{-598}{35}\end{matrix}\right.\qquad V=\{(\frac{20}{7},\frac{7}{10})\}\)
4. \(\left\{\begin{matrix}6x+5y=-5\\-2x=-y+\frac{-1}{9}\end{matrix}\right.\qquad V=\{(\frac{-5}{18},\frac{-2}{3})\}\)
5. \(\left\{\begin{matrix}-6y=28-2x\\-x+6y=-22\end{matrix}\right.\qquad V=\{(6,\frac{-8}{3})\}\)
6. \(\left\{\begin{matrix}-5x+4y=\frac{-38}{9}\\-x-y=\frac{-229}{90}\end{matrix}\right.\qquad V=\{(\frac{8}{5},\frac{17}{18})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{-21}{2}+3x\\-6x+y=-28\end{matrix}\right.\qquad V=\{(\frac{9}{2},-1)\}\)
8. \(\left\{\begin{matrix}-5x+y=\frac{-37}{12}\\6x-4y=3\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{1}{4})\}\)
9. \(\left\{\begin{matrix}-2x+y=\frac{-62}{21}\\-4x=-6y+\frac{-232}{21}\end{matrix}\right.\qquad V=\{(\frac{5}{6},\frac{-9}{7})\}\)
10. \(\left\{\begin{matrix}6x-6y=\frac{-177}{8}\\-x=y+\frac{61}{16}\end{matrix}\right.\qquad V=\{(\frac{-15}{4},\frac{-1}{16})\}\)
11. \(\left\{\begin{matrix}4x-3y=\frac{453}{13}\\-3x-y=\frac{-356}{13}\end{matrix}\right.\qquad V=\{(9,\frac{5}{13})\}\)
12. \(\left\{\begin{matrix}3x-6y=\frac{12}{5}\\-x=-6y+\frac{6}{5}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{1}{2})\}\)