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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x+6y=\frac{-274}{95}\\x-3y=\frac{-91}{95}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-4y=\frac{-57}{2}-3x\\x-y=\frac{-13}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-y=\frac{119}{22}\\6x+3y=\frac{27}{22}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=\frac{49}{3}-x\\3x+2y=\frac{-23}{3}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-y=\frac{271}{38}+2x\\-3x-5y=\frac{1537}{38}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+2y=\frac{61}{6}\\x=6y+\frac{-19}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6x+2y=\frac{-33}{5}\\x+3y=\frac{-59}{10}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+4y=\frac{-14}{3}\\-x-3y=\frac{49}{9}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+4y=3\\-x-5y=\frac{29}{4}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x+y=\frac{-81}{11}\\6x-4y=\frac{332}{11}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{556}{91}-x\\-3x-2y=\frac{191}{91}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}x+2y=\frac{-155}{7}\\4x-4y=\frac{220}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x+6y=\frac{-274}{95}\\x-3y=\frac{-91}{95}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{1}{19})\}\)
2. \(\left\{\begin{matrix}-4y=\frac{-57}{2}-3x\\x-y=\frac{-13}{2}\end{matrix}\right.\qquad V=\{(\frac{5}{2},9)\}\)
3. \(\left\{\begin{matrix}2x-y=\frac{119}{22}\\6x+3y=\frac{27}{22}\end{matrix}\right.\qquad V=\{(\frac{16}{11},\frac{-5}{2})\}\)
4. \(\left\{\begin{matrix}-6y=\frac{49}{3}-x\\3x+2y=\frac{-23}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{-17}{6})\}\)
5. \(\left\{\begin{matrix}-y=\frac{271}{38}+2x\\-3x-5y=\frac{1537}{38}\end{matrix}\right.\qquad V=\{(\frac{13}{19},\frac{-17}{2})\}\)
6. \(\left\{\begin{matrix}-5x+2y=\frac{61}{6}\\x=6y+\frac{-19}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{4}{3})\}\)
7. \(\left\{\begin{matrix}6x+2y=\frac{-33}{5}\\x+3y=\frac{-59}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{-9}{5})\}\)
8. \(\left\{\begin{matrix}6x+4y=\frac{-14}{3}\\-x-3y=\frac{49}{9}\end{matrix}\right.\qquad V=\{(\frac{5}{9},-2)\}\)
9. \(\left\{\begin{matrix}4x+4y=3\\-x-5y=\frac{29}{4}\end{matrix}\right.\qquad V=\{(\frac{11}{4},-2)\}\)
10. \(\left\{\begin{matrix}-x+y=\frac{-81}{11}\\6x-4y=\frac{332}{11}\end{matrix}\right.\qquad V=\{(\frac{4}{11},-7)\}\)
11. \(\left\{\begin{matrix}-3y=\frac{556}{91}-x\\-3x-2y=\frac{191}{91}\end{matrix}\right.\qquad V=\{(\frac{7}{13},\frac{-13}{7})\}\)
12. \(\left\{\begin{matrix}x+2y=\frac{-155}{7}\\4x-4y=\frac{220}{7}\end{matrix}\right.\qquad V=\{(\frac{-15}{7},-10)\}\)