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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-4y=\frac{202}{15}\\-x-y=\frac{-59}{30}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{53}{38}-4x\\-x-5y=\frac{-461}{152}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x+2y=\frac{-776}{19}\\x-4y=\frac{-177}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}6x+4y=\frac{52}{5}\\2x=y+\frac{22}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=\frac{33}{7}-2x\\x+2y=\frac{-57}{14}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-6y=\frac{77}{40}\\4x=-y+\frac{-23}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+4y=\frac{249}{112}\\3x+4y=\frac{235}{112}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{199}{51}+5x\\5x-3y=\frac{-89}{17}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-4y=\frac{-79}{28}-2x\\x-y=\frac{-95}{112}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6y=\frac{-79}{10}-4x\\3x-y=\frac{-143}{20}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x+4y=\frac{-339}{44}\\-x=-4y+\frac{-273}{44}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-5y=\frac{-69}{8}\\-x-3y=\frac{-47}{8}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-4y=\frac{202}{15}\\-x-y=\frac{-59}{30}\end{matrix}\right.\qquad V=\{(\frac{8}{3},\frac{-7}{10})\}\)
2. \(\left\{\begin{matrix}3y=\frac{53}{38}-4x\\-x-5y=\frac{-461}{152}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{12}{19})\}\)
3. \(\left\{\begin{matrix}6x+2y=\frac{-776}{19}\\x-4y=\frac{-177}{19}\end{matrix}\right.\qquad V=\{(-7,\frac{11}{19})\}\)
4. \(\left\{\begin{matrix}6x+4y=\frac{52}{5}\\2x=y+\frac{22}{5}\end{matrix}\right.\qquad V=\{(2,\frac{-2}{5})\}\)
5. \(\left\{\begin{matrix}-6y=\frac{33}{7}-2x\\x+2y=\frac{-57}{14}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{-9}{7})\}\)
6. \(\left\{\begin{matrix}-5x-6y=\frac{77}{40}\\4x=-y+\frac{-23}{10}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},\frac{1}{5})\}\)
7. \(\left\{\begin{matrix}x+4y=\frac{249}{112}\\3x+4y=\frac{235}{112}\end{matrix}\right.\qquad V=\{(\frac{-1}{16},\frac{4}{7})\}\)
8. \(\left\{\begin{matrix}y=\frac{199}{51}+5x\\5x-3y=\frac{-89}{17}\end{matrix}\right.\qquad V=\{(\frac{-11}{17},\frac{2}{3})\}\)
9. \(\left\{\begin{matrix}-4y=\frac{-79}{28}-2x\\x-y=\frac{-95}{112}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{9}{16})\}\)
10. \(\left\{\begin{matrix}-6y=\frac{-79}{10}-4x\\3x-y=\frac{-143}{20}\end{matrix}\right.\qquad V=\{(\frac{-5}{2},\frac{-7}{20})\}\)
11. \(\left\{\begin{matrix}-3x+4y=\frac{-339}{44}\\-x=-4y+\frac{-273}{44}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-15}{11})\}\)
12. \(\left\{\begin{matrix}3x-5y=\frac{-69}{8}\\-x-3y=\frac{-47}{8}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{15}{8})\}\)