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Substitutie of combinatie

1. \(\left\{\begin{matrix}5y=\frac{49}{12}-x\\3x+3y=\frac{17}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-6y=\frac{3}{10}\\-x+6y=\frac{57}{10}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4x-5y=\frac{-81}{28}\\6x=-y+\frac{199}{56}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x-3y=\frac{-139}{38}\\-x+y=\frac{127}{114}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}6x-y=\frac{-104}{7}\\6x-3y=\frac{-144}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{-51}{11}+x\\6x-5y=\frac{16}{11}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3y=-18-3x\\-x-6y=\frac{-38}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{9}{2}+6x\\-x-5y=\frac{69}{8}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{69}{4}-6x\\x-3y=\frac{-33}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-4y=\frac{90}{13}\\-x-y=\frac{16}{13}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{102}{13}+4x\\-4x-5y=\frac{114}{13}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5x-3y=\frac{667}{104}\\5x=-y+\frac{731}{104}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}5y=\frac{49}{12}-x\\3x+3y=\frac{17}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{2}{3})\}\)
2. \(\left\{\begin{matrix}-3x-6y=\frac{3}{10}\\-x+6y=\frac{57}{10}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{7}{10})\}\)
3. \(\left\{\begin{matrix}4x-5y=\frac{-81}{28}\\6x=-y+\frac{199}{56}\end{matrix}\right.\qquad V=\{(\frac{7}{16},\frac{13}{14})\}\)
4. \(\left\{\begin{matrix}-3x-3y=\frac{-139}{38}\\-x+y=\frac{127}{114}\end{matrix}\right.\qquad V=\{(\frac{1}{19},\frac{7}{6})\}\)
5. \(\left\{\begin{matrix}6x-y=\frac{-104}{7}\\6x-3y=\frac{-144}{7}\end{matrix}\right.\qquad V=\{(-2,\frac{20}{7})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{-51}{11}+x\\6x-5y=\frac{16}{11}\end{matrix}\right.\qquad V=\{(1,\frac{10}{11})\}\)
7. \(\left\{\begin{matrix}-3y=-18-3x\\-x-6y=\frac{-38}{3}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{8}{3})\}\)
8. \(\left\{\begin{matrix}-3y=\frac{9}{2}+6x\\-x-5y=\frac{69}{8}\end{matrix}\right.\qquad V=\{(\frac{1}{8},\frac{-7}{4})\}\)
9. \(\left\{\begin{matrix}3y=\frac{69}{4}-6x\\x-3y=\frac{-33}{8}\end{matrix}\right.\qquad V=\{(\frac{15}{8},2)\}\)
10. \(\left\{\begin{matrix}-6x-4y=\frac{90}{13}\\-x-y=\frac{16}{13}\end{matrix}\right.\qquad V=\{(-1,\frac{-3}{13})\}\)
11. \(\left\{\begin{matrix}y=\frac{102}{13}+4x\\-4x-5y=\frac{114}{13}\end{matrix}\right.\qquad V=\{(-2,\frac{-2}{13})\}\)
12. \(\left\{\begin{matrix}5x-3y=\frac{667}{104}\\5x=-y+\frac{731}{104}\end{matrix}\right.\qquad V=\{(\frac{11}{8},\frac{2}{13})\}\)