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Substitutie of combinatie

1. \(\left\{\begin{matrix}5x-y=\frac{16}{9}\\-6x=6y+\frac{8}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6y=\frac{-391}{39}+3x\\-x+3y=\frac{151}{78}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}x+5y=-5\\-3x=4y+-7\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{339}{136}+3x\\-x+5y=\frac{-47}{136}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{171}{11}+5x\\-6x+3y=\frac{180}{11}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+2y=\frac{67}{45}\\5x-6y=\frac{-241}{45}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-6y=\frac{582}{11}\\x=3y+\frac{211}{11}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-2x+2y=\frac{-37}{11}\\3x=y+\frac{147}{22}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}y=\frac{-53}{6}+6x\\-6x-6y=11\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+y=\frac{-19}{3}\\3x+4y=\frac{-35}{6}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+4y=-49\\-x=y+\frac{25}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x-2y=\frac{194}{285}\\x=-6y+\frac{121}{95}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5x-y=\frac{16}{9}\\-6x=6y+\frac{8}{3}\end{matrix}\right.\qquad V=\{(\frac{2}{9},\frac{-2}{3})\}\)
2. \(\left\{\begin{matrix}-6y=\frac{-391}{39}+3x\\-x+3y=\frac{151}{78}\end{matrix}\right.\qquad V=\{(\frac{16}{13},\frac{19}{18})\}\)
3. \(\left\{\begin{matrix}x+5y=-5\\-3x=4y+-7\end{matrix}\right.\qquad V=\{(5,-2)\}\)
4. \(\left\{\begin{matrix}3y=\frac{339}{136}+3x\\-x+5y=\frac{-47}{136}\end{matrix}\right.\qquad V=\{(\frac{-9}{8},\frac{-5}{17})\}\)
5. \(\left\{\begin{matrix}-y=\frac{171}{11}+5x\\-6x+3y=\frac{180}{11}\end{matrix}\right.\qquad V=\{(-3,\frac{-6}{11})\}\)
6. \(\left\{\begin{matrix}x+2y=\frac{67}{45}\\5x-6y=\frac{-241}{45}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},\frac{4}{5})\}\)
7. \(\left\{\begin{matrix}-6x-6y=\frac{582}{11}\\x=3y+\frac{211}{11}\end{matrix}\right.\qquad V=\{(\frac{-20}{11},-7)\}\)
8. \(\left\{\begin{matrix}-2x+2y=\frac{-37}{11}\\3x=y+\frac{147}{22}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{9}{11})\}\)
9. \(\left\{\begin{matrix}y=\frac{-53}{6}+6x\\-6x-6y=11\end{matrix}\right.\qquad V=\{(1,\frac{-17}{6})\}\)
10. \(\left\{\begin{matrix}4x+y=\frac{-19}{3}\\3x+4y=\frac{-35}{6}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-1}{3})\}\)
11. \(\left\{\begin{matrix}6x+4y=-49\\-x=y+\frac{25}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},-13)\}\)
12. \(\left\{\begin{matrix}2x-2y=\frac{194}{285}\\x=-6y+\frac{121}{95}\end{matrix}\right.\qquad V=\{(\frac{9}{19},\frac{2}{15})\}\)