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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-2y=\frac{-259}{60}\\2x+2y=\frac{67}{60}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{81}{4}-3x\\x-y=\frac{11}{4}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x+6y=\frac{214}{55}\\2x-y=\frac{-153}{55}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-6y=-13\\4x=-y+\frac{13}{2}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+y=\frac{-34}{15}\\-2x+4y=\frac{44}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-y=\frac{-9}{130}\\2x=-5y+\frac{591}{130}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-4x-2y=\frac{337}{44}\\x=-6y+\frac{-1745}{176}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4y=\frac{66}{35}-6x\\-x-y=\frac{-43}{70}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{464}{15}+4x\\x-y=\frac{109}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{51}{4}-5x\\2x-y=\frac{11}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-4y=\frac{-161}{12}\\x=6y+\frac{-365}{12}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{21}{2}+5x\\x+y=\frac{13}{6}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-2y=\frac{-259}{60}\\2x+2y=\frac{67}{60}\end{matrix}\right.\qquad V=\{(\frac{-16}{15},\frac{13}{8})\}\)
2. \(\left\{\begin{matrix}3y=\frac{81}{4}-3x\\x-y=\frac{11}{4}\end{matrix}\right.\qquad V=\{(\frac{19}{4},2)\}\)
3. \(\left\{\begin{matrix}4x+6y=\frac{214}{55}\\2x-y=\frac{-153}{55}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{13}{11})\}\)
4. \(\left\{\begin{matrix}2x-6y=-13\\4x=-y+\frac{13}{2}\end{matrix}\right.\qquad V=\{(1,\frac{5}{2})\}\)
5. \(\left\{\begin{matrix}4x+y=\frac{-34}{15}\\-2x+4y=\frac{44}{15}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{2}{5})\}\)
6. \(\left\{\begin{matrix}2x-y=\frac{-9}{130}\\2x=-5y+\frac{591}{130}\end{matrix}\right.\qquad V=\{(\frac{7}{20},\frac{10}{13})\}\)
7. \(\left\{\begin{matrix}-4x-2y=\frac{337}{44}\\x=-6y+\frac{-1745}{176}\end{matrix}\right.\qquad V=\{(\frac{-19}{16},\frac{-16}{11})\}\)
8. \(\left\{\begin{matrix}4y=\frac{66}{35}-6x\\-x-y=\frac{-43}{70}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{9}{10})\}\)
9. \(\left\{\begin{matrix}-5y=\frac{464}{15}+4x\\x-y=\frac{109}{15}\end{matrix}\right.\qquad V=\{(\frac{3}{5},\frac{-20}{3})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{51}{4}-5x\\2x-y=\frac{11}{2}\end{matrix}\right.\qquad V=\{(\frac{7}{4},-2)\}\)
11. \(\left\{\begin{matrix}5x-4y=\frac{-161}{12}\\x=6y+\frac{-365}{12}\end{matrix}\right.\qquad V=\{(\frac{19}{12},\frac{16}{3})\}\)
12. \(\left\{\begin{matrix}3y=\frac{21}{2}+5x\\x+y=\frac{13}{6}\end{matrix}\right.\qquad V=\{(\frac{-1}{2},\frac{8}{3})\}\)