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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-y=\frac{500}{187}\\4x-3y=\frac{956}{187}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-6x-3y=\frac{-11}{14}\\x=y+\frac{-173}{42}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+y=\frac{129}{55}\\-3x-5y=\frac{-469}{55}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-5y=\frac{-9}{2}\\x=-6y+\frac{13}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x+6y=\frac{-193}{63}\\3x+3y=\frac{32}{21}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x-3y=-1\\-x=-5y+\frac{17}{20}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2y=\frac{-527}{144}+5x\\-5x+y=\frac{-479}{144}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+6y=\frac{-57}{10}\\x-y=\frac{-11}{20}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-y=\frac{-12}{7}+2x\\-2x-6y=\frac{33}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+2y=\frac{29}{10}\\-x+y=\frac{-13}{60}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{-103}{36}-3x\\x+3y=\frac{-9}{4}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x-4y=-13\\x=-y+\frac{-11}{2}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-y=\frac{500}{187}\\4x-3y=\frac{956}{187}\end{matrix}\right.\qquad V=\{(\frac{16}{11},\frac{4}{17})\}\)
2. \(\left\{\begin{matrix}-6x-3y=\frac{-11}{14}\\x=y+\frac{-173}{42}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{17}{6})\}\)
3. \(\left\{\begin{matrix}3x+y=\frac{129}{55}\\-3x-5y=\frac{-469}{55}\end{matrix}\right.\qquad V=\{(\frac{4}{15},\frac{17}{11})\}\)
4. \(\left\{\begin{matrix}5x-5y=\frac{-9}{2}\\x=-6y+\frac{13}{5}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{1}{2})\}\)
5. \(\left\{\begin{matrix}x+6y=\frac{-193}{63}\\3x+3y=\frac{32}{21}\end{matrix}\right.\qquad V=\{(\frac{11}{9},\frac{-5}{7})\}\)
6. \(\left\{\begin{matrix}2x-3y=-1\\-x=-5y+\frac{17}{20}\end{matrix}\right.\qquad V=\{(\frac{-7}{20},\frac{1}{10})\}\)
7. \(\left\{\begin{matrix}-2y=\frac{-527}{144}+5x\\-5x+y=\frac{-479}{144}\end{matrix}\right.\qquad V=\{(\frac{11}{16},\frac{1}{9})\}\)
8. \(\left\{\begin{matrix}6x+6y=\frac{-57}{10}\\x-y=\frac{-11}{20}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-1}{5})\}\)
9. \(\left\{\begin{matrix}-y=\frac{-12}{7}+2x\\-2x-6y=\frac{33}{7}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-9}{7})\}\)
10. \(\left\{\begin{matrix}6x+2y=\frac{29}{10}\\-x+y=\frac{-13}{60}\end{matrix}\right.\qquad V=\{(\frac{5}{12},\frac{1}{5})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{-103}{36}-3x\\x+3y=\frac{-9}{4}\end{matrix}\right.\qquad V=\{(\frac{-17}{12},\frac{-5}{18})\}\)
12. \(\left\{\begin{matrix}6x-4y=-13\\x=-y+\frac{-11}{2}\end{matrix}\right.\qquad V=\{(\frac{-7}{2},-2)\}\)