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Substitutie of combinatie

1. \(\left\{\begin{matrix}-4x-2y=\frac{-256}{39}\\x+4y=\frac{155}{39}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5y=\frac{-56}{3}-6x\\-x-y=\frac{10}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=-3-6x\\-x+5y=\frac{97}{12}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x-2y=\frac{-11}{2}\\-3x-2y=\frac{-49}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+6y=\frac{-1286}{133}\\-x=-4y+\frac{-34}{133}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}6x-6y=\frac{102}{13}\\x+y=\frac{-3}{13}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=\frac{191}{30}+6x\\x-4y=\frac{269}{90}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=-28-6x\\3x+5y=\frac{-37}{2}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6x-2y=\frac{-189}{5}\\x+y=\frac{167}{30}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x-2y=\frac{2110}{119}\\6x=y+\frac{2075}{119}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x+y=\frac{1123}{323}\\5x=3y+\frac{1476}{323}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{-38}{3}-3x\\4x-y=\frac{-181}{12}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-4x-2y=\frac{-256}{39}\\x+4y=\frac{155}{39}\end{matrix}\right.\qquad V=\{(\frac{17}{13},\frac{2}{3})\}\)
2. \(\left\{\begin{matrix}5y=\frac{-56}{3}-6x\\-x-y=\frac{10}{3}\end{matrix}\right.\qquad V=\{(-2,\frac{-4}{3})\}\)
3. \(\left\{\begin{matrix}-4y=-3-6x\\-x+5y=\frac{97}{12}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{7}{4})\}\)
4. \(\left\{\begin{matrix}-x-2y=\frac{-11}{2}\\-3x-2y=\frac{-49}{2}\end{matrix}\right.\qquad V=\{(\frac{19}{2},-2)\}\)
5. \(\left\{\begin{matrix}5x+6y=\frac{-1286}{133}\\-x=-4y+\frac{-34}{133}\end{matrix}\right.\qquad V=\{(\frac{-10}{7},\frac{-8}{19})\}\)
6. \(\left\{\begin{matrix}6x-6y=\frac{102}{13}\\x+y=\frac{-3}{13}\end{matrix}\right.\qquad V=\{(\frac{7}{13},\frac{-10}{13})\}\)
7. \(\left\{\begin{matrix}-3y=\frac{191}{30}+6x\\x-4y=\frac{269}{90}\end{matrix}\right.\qquad V=\{(\frac{-11}{18},\frac{-9}{10})\}\)
8. \(\left\{\begin{matrix}y=-28-6x\\3x+5y=\frac{-37}{2}\end{matrix}\right.\qquad V=\{(\frac{-9}{2},-1)\}\)
9. \(\left\{\begin{matrix}-6x-2y=\frac{-189}{5}\\x+y=\frac{167}{30}\end{matrix}\right.\qquad V=\{(\frac{20}{3},\frac{-11}{10})\}\)
10. \(\left\{\begin{matrix}6x-2y=\frac{2110}{119}\\6x=y+\frac{2075}{119}\end{matrix}\right.\qquad V=\{(\frac{20}{7},\frac{-5}{17})\}\)
11. \(\left\{\begin{matrix}4x+y=\frac{1123}{323}\\5x=3y+\frac{1476}{323}\end{matrix}\right.\qquad V=\{(\frac{15}{17},\frac{-1}{19})\}\)
12. \(\left\{\begin{matrix}-2y=\frac{-38}{3}-3x\\4x-y=\frac{-181}{12}\end{matrix}\right.\qquad V=\{(\frac{-7}{2},\frac{13}{12})\}\)