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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x-y=\frac{5}{4}\\3x=4y+-10\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{69}{5}+3x\\-6x+y=\frac{148}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x-5y=\frac{197}{6}\\x+6y=\frac{-139}{4}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-2y=\frac{109}{3}\\-4x-y=\frac{-47}{6}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5y=\frac{-1845}{323}+6x\\-x+5y=\frac{-1370}{323}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=21-3x\\-2x-y=-16\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-y=\frac{109}{10}\\3x+2y=\frac{-28}{5}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6y=-9-6x\\-x-3y=\frac{5}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-3x-5y=\frac{38}{5}\\-6x+y=\frac{-12}{5}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}x-y=\frac{-44}{5}\\5x=6y+\frac{-224}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-5y=\frac{100}{187}\\x=-5y+\frac{-694}{187}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6x-3y=\frac{-63}{4}\\-x=-2y+\frac{49}{8}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x-y=\frac{5}{4}\\3x=4y+-10\end{matrix}\right.\qquad V=\{(-1,\frac{7}{4})\}\)
2. \(\left\{\begin{matrix}3y=\frac{69}{5}+3x\\-6x+y=\frac{148}{5}\end{matrix}\right.\qquad V=\{(-5,\frac{-2}{5})\}\)
3. \(\left\{\begin{matrix}-6x-5y=\frac{197}{6}\\x+6y=\frac{-139}{4}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-17}{3})\}\)
4. \(\left\{\begin{matrix}4x-2y=\frac{109}{3}\\-4x-y=\frac{-47}{6}\end{matrix}\right.\qquad V=\{(\frac{13}{3},\frac{-19}{2})\}\)
5. \(\left\{\begin{matrix}5y=\frac{-1845}{323}+6x\\-x+5y=\frac{-1370}{323}\end{matrix}\right.\qquad V=\{(\frac{5}{17},\frac{-15}{19})\}\)
6. \(\left\{\begin{matrix}3y=21-3x\\-2x-y=-16\end{matrix}\right.\qquad V=\{(9,-2)\}\)
7. \(\left\{\begin{matrix}-6x-y=\frac{109}{10}\\3x+2y=\frac{-28}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},\frac{-1}{10})\}\)
8. \(\left\{\begin{matrix}6y=-9-6x\\-x-3y=\frac{5}{2}\end{matrix}\right.\qquad V=\{(-1,\frac{-1}{2})\}\)
9. \(\left\{\begin{matrix}-3x-5y=\frac{38}{5}\\-6x+y=\frac{-12}{5}\end{matrix}\right.\qquad V=\{(\frac{2}{15},\frac{-8}{5})\}\)
10. \(\left\{\begin{matrix}x-y=\frac{-44}{5}\\5x=6y+\frac{-224}{5}\end{matrix}\right.\qquad V=\{(-8,\frac{4}{5})\}\)
11. \(\left\{\begin{matrix}5x-5y=\frac{100}{187}\\x=-5y+\frac{-694}{187}\end{matrix}\right.\qquad V=\{(\frac{-9}{17},\frac{-7}{11})\}\)
12. \(\left\{\begin{matrix}-6x-3y=\frac{-63}{4}\\-x=-2y+\frac{49}{8}\end{matrix}\right.\qquad V=\{(\frac{7}{8},\frac{7}{2})\}\)