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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-3y=-5\\-x=-3y+\frac{-47}{6}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{-153}{11}-2x\\-x+5y=\frac{-21}{11}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x+3y=\frac{-5}{3}\\-x=3y+\frac{-65}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x-4y=\frac{-92}{15}\\3x-y=\frac{-38}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=\frac{-224}{17}-5x\\-x+6y=\frac{-404}{17}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x+3y=\frac{-14}{13}\\-x-y=\frac{31}{26}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+y=\frac{103}{13}\\2x+2y=\frac{70}{13}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3x+y=\frac{1}{4}\\6x+2y=\frac{1}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x-3y=\frac{-820}{187}\\x-3y=\frac{-358}{187}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x+5y=\frac{-191}{4}\\-x=6y+\frac{237}{4}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-x+3y=\frac{113}{8}\\6x=-6y+\frac{93}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-y=\frac{-387}{65}+5x\\-4x+5y=\frac{-77}{13}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-3y=-5\\-x=-3y+\frac{-47}{6}\end{matrix}\right.\qquad V=\{(\frac{11}{6},-2)\}\)
2. \(\left\{\begin{matrix}5y=\frac{-153}{11}-2x\\-x+5y=\frac{-21}{11}\end{matrix}\right.\qquad V=\{(-4,\frac{-13}{11})\}\)
3. \(\left\{\begin{matrix}6x+3y=\frac{-5}{3}\\-x=3y+\frac{-65}{9}\end{matrix}\right.\qquad V=\{(\frac{-16}{9},3)\}\)
4. \(\left\{\begin{matrix}6x-4y=\frac{-92}{15}\\3x-y=\frac{-38}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{8}{15})\}\)
5. \(\left\{\begin{matrix}3y=\frac{-224}{17}-5x\\-x+6y=\frac{-404}{17}\end{matrix}\right.\qquad V=\{(\frac{-4}{17},-4)\}\)
6. \(\left\{\begin{matrix}-2x+3y=\frac{-14}{13}\\-x-y=\frac{31}{26}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-9}{13})\}\)
7. \(\left\{\begin{matrix}-3x+y=\frac{103}{13}\\2x+2y=\frac{70}{13}\end{matrix}\right.\qquad V=\{(\frac{-17}{13},4)\}\)
8. \(\left\{\begin{matrix}3x+y=\frac{1}{4}\\6x+2y=\frac{1}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{3}{4})\}\)
9. \(\left\{\begin{matrix}4x-3y=\frac{-820}{187}\\x-3y=\frac{-358}{187}\end{matrix}\right.\qquad V=\{(\frac{-14}{17},\frac{4}{11})\}\)
10. \(\left\{\begin{matrix}3x+5y=\frac{-191}{4}\\-x=6y+\frac{237}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{4},-10)\}\)
11. \(\left\{\begin{matrix}-x+3y=\frac{113}{8}\\6x=-6y+\frac{93}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},\frac{9}{2})\}\)
12. \(\left\{\begin{matrix}-y=\frac{-387}{65}+5x\\-4x+5y=\frac{-77}{13}\end{matrix}\right.\qquad V=\{(\frac{16}{13},\frac{-1}{5})\}\)