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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x-5y=\frac{-370}{51}\\-4x+y=\frac{686}{51}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}5x+6y=\frac{-977}{99}\\x=-y+\frac{-172}{99}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}5x+3y=\frac{-473}{152}\\-x=-5y+\frac{-863}{152}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{-145}{33}-2x\\6x+4y=\frac{874}{33}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x+2y=\frac{46}{3}\\2x=-y+\frac{122}{15}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}2x+6y=\frac{-417}{56}\\-x-y=\frac{235}{112}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x+2y=\frac{-308}{153}\\x-4y=\frac{-239}{153}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+5y=\frac{-2154}{221}\\2x-y=\frac{98}{221}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-6y=\frac{296}{15}+2x\\-5x-y=\frac{26}{15}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-y=\frac{-142}{3}\\5x-4y=\frac{-172}{3}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}6x+6y=\frac{27}{7}\\-x-6y=\frac{13}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{267}{20}+3x\\-5x+y=\frac{61}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x-5y=\frac{-370}{51}\\-4x+y=\frac{686}{51}\end{matrix}\right.\qquad V=\{(\frac{-10}{3},\frac{2}{17})\}\)
2. \(\left\{\begin{matrix}5x+6y=\frac{-977}{99}\\x=-y+\frac{-172}{99}\end{matrix}\right.\qquad V=\{(\frac{-5}{9},\frac{-13}{11})\}\)
3. \(\left\{\begin{matrix}5x+3y=\frac{-473}{152}\\-x=-5y+\frac{-863}{152}\end{matrix}\right.\qquad V=\{(\frac{1}{19},\frac{-9}{8})\}\)
4. \(\left\{\begin{matrix}-y=\frac{-145}{33}-2x\\6x+4y=\frac{874}{33}\end{matrix}\right.\qquad V=\{(\frac{7}{11},\frac{17}{3})\}\)
5. \(\left\{\begin{matrix}5x+2y=\frac{46}{3}\\2x=-y+\frac{122}{15}\end{matrix}\right.\qquad V=\{(\frac{-14}{15},10)\}\)
6. \(\left\{\begin{matrix}2x+6y=\frac{-417}{56}\\-x-y=\frac{235}{112}\end{matrix}\right.\qquad V=\{(\frac{-9}{7},\frac{-13}{16})\}\)
7. \(\left\{\begin{matrix}2x+2y=\frac{-308}{153}\\x-4y=\frac{-239}{153}\end{matrix}\right.\qquad V=\{(\frac{-19}{17},\frac{1}{9})\}\)
8. \(\left\{\begin{matrix}6x+5y=\frac{-2154}{221}\\2x-y=\frac{98}{221}\end{matrix}\right.\qquad V=\{(\frac{-8}{17},\frac{-18}{13})\}\)
9. \(\left\{\begin{matrix}-6y=\frac{296}{15}+2x\\-5x-y=\frac{26}{15}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-17}{5})\}\)
10. \(\left\{\begin{matrix}4x-y=\frac{-142}{3}\\5x-4y=\frac{-172}{3}\end{matrix}\right.\qquad V=\{(-12,\frac{-2}{3})\}\)
11. \(\left\{\begin{matrix}6x+6y=\frac{27}{7}\\-x-6y=\frac{13}{7}\end{matrix}\right.\qquad V=\{(\frac{8}{7},\frac{-1}{2})\}\)
12. \(\left\{\begin{matrix}-5y=\frac{267}{20}+3x\\-5x+y=\frac{61}{4}\end{matrix}\right.\qquad V=\{(\frac{-16}{5},\frac{-3}{4})\}\)