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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-6y=\frac{-92}{35}\\-5x-y=\frac{151}{42}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2x-6y=\frac{184}{17}\\6x+y=\frac{-211}{51}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6x+y=\frac{-507}{187}\\-2x=-5y+\frac{985}{187}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x+5y=\frac{391}{5}\\-x-3y=\frac{-299}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4y=\frac{94}{21}-3x\\-x+6y=\frac{58}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{766}{171}+6x\\5x+y=\frac{-803}{171}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3y=\frac{-57}{14}-3x\\x-2y=\frac{10}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x-4y=\frac{-44}{15}\\3x-y=\frac{-37}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{-125}{22}+x\\6x-5y=\frac{255}{22}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-3y=\frac{-345}{77}\\x=3y+\frac{-597}{77}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x-4y=\frac{-76}{5}\\-x=y+\frac{-14}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}4x-5y=\frac{86}{9}\\-x=-6y+\frac{-107}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-6y=\frac{-92}{35}\\-5x-y=\frac{151}{42}\end{matrix}\right.\qquad V=\{(\frac{-11}{15},\frac{1}{14})\}\)
2. \(\left\{\begin{matrix}-2x-6y=\frac{184}{17}\\6x+y=\frac{-211}{51}\end{matrix}\right.\qquad V=\{(\frac{-7}{17},\frac{-5}{3})\}\)
3. \(\left\{\begin{matrix}6x+y=\frac{-507}{187}\\-2x=-5y+\frac{985}{187}\end{matrix}\right.\qquad V=\{(\frac{-10}{17},\frac{9}{11})\}\)
4. \(\left\{\begin{matrix}-6x+5y=\frac{391}{5}\\-x-3y=\frac{-299}{5}\end{matrix}\right.\qquad V=\{(\frac{14}{5},19)\}\)
5. \(\left\{\begin{matrix}4y=\frac{94}{21}-3x\\-x+6y=\frac{58}{7}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{4}{3})\}\)
6. \(\left\{\begin{matrix}4y=\frac{766}{171}+6x\\5x+y=\frac{-803}{171}\end{matrix}\right.\qquad V=\{(\frac{-17}{19},\frac{-2}{9})\}\)
7. \(\left\{\begin{matrix}3y=\frac{-57}{14}-3x\\x-2y=\frac{10}{7}\end{matrix}\right.\qquad V=\{(\frac{-3}{7},\frac{-13}{14})\}\)
8. \(\left\{\begin{matrix}2x-4y=\frac{-44}{15}\\3x-y=\frac{-37}{5}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{-3}{5})\}\)
9. \(\left\{\begin{matrix}5y=\frac{-125}{22}+x\\6x-5y=\frac{255}{22}\end{matrix}\right.\qquad V=\{(\frac{13}{11},\frac{-9}{10})\}\)
10. \(\left\{\begin{matrix}5x-3y=\frac{-345}{77}\\x=3y+\frac{-597}{77}\end{matrix}\right.\qquad V=\{(\frac{9}{11},\frac{20}{7})\}\)
11. \(\left\{\begin{matrix}-5x-4y=\frac{-76}{5}\\-x=y+\frac{-14}{5}\end{matrix}\right.\qquad V=\{(4,\frac{-6}{5})\}\)
12. \(\left\{\begin{matrix}4x-5y=\frac{86}{9}\\-x=-6y+\frac{-107}{9}\end{matrix}\right.\qquad V=\{(\frac{-1}{9},-2)\}\)