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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-4y=\frac{50}{9}\\-x=2y+\frac{-5}{3}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=-4-2x\\x-y=\frac{-1}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{57}{5}+6x\\-x-y=\frac{43}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}4x-y=\frac{-433}{34}\\2x=-2y+\frac{253}{17}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x+4y=\frac{-638}{39}\\x=4y+\frac{679}{117}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3y=\frac{11}{2}-3x\\-x-2y=\frac{-9}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}5x+y=\frac{-9}{4}\\5x=-6y+\frac{-7}{2}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2x+5y=\frac{488}{117}\\-4x-y=\frac{194}{117}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2x+6y=\frac{110}{17}\\4x=-y+\frac{33}{17}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{-13}{22}-6x\\4x-y=\frac{-21}{44}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{-73}{60}-3x\\-x+2y=\frac{4}{15}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x-2y=\frac{-50}{19}\\4x=y+\frac{343}{57}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-4y=\frac{50}{9}\\-x=2y+\frac{-5}{3}\end{matrix}\right.\qquad V=\{(\frac{10}{9},\frac{5}{18})\}\)
2. \(\left\{\begin{matrix}3y=-4-2x\\x-y=\frac{-1}{3}\end{matrix}\right.\qquad V=\{(-1,\frac{-2}{3})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{57}{5}+6x\\-x-y=\frac{43}{20}\end{matrix}\right.\qquad V=\{(\frac{-7}{5},\frac{-3}{4})\}\)
4. \(\left\{\begin{matrix}4x-y=\frac{-433}{34}\\2x=-2y+\frac{253}{17}\end{matrix}\right.\qquad V=\{(\frac{-18}{17},\frac{17}{2})\}\)
5. \(\left\{\begin{matrix}-6x+4y=\frac{-638}{39}\\x=4y+\frac{679}{117}\end{matrix}\right.\qquad V=\{(\frac{19}{9},\frac{-12}{13})\}\)
6. \(\left\{\begin{matrix}3y=\frac{11}{2}-3x\\-x-2y=\frac{-9}{2}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{8}{3})\}\)
7. \(\left\{\begin{matrix}5x+y=\frac{-9}{4}\\5x=-6y+\frac{-7}{2}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{-1}{4})\}\)
8. \(\left\{\begin{matrix}2x+5y=\frac{488}{117}\\-4x-y=\frac{194}{117}\end{matrix}\right.\qquad V=\{(\frac{-9}{13},\frac{10}{9})\}\)
9. \(\left\{\begin{matrix}2x+6y=\frac{110}{17}\\4x=-y+\frac{33}{17}\end{matrix}\right.\qquad V=\{(\frac{4}{17},1)\}\)
10. \(\left\{\begin{matrix}-2y=\frac{-13}{22}-6x\\4x-y=\frac{-21}{44}\end{matrix}\right.\qquad V=\{(\frac{-2}{11},\frac{-1}{4})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{-73}{60}-3x\\-x+2y=\frac{4}{15}\end{matrix}\right.\qquad V=\{(\frac{-11}{10},\frac{-5}{12})\}\)
12. \(\left\{\begin{matrix}-3x-2y=\frac{-50}{19}\\4x=y+\frac{343}{57}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{-13}{19})\}\)