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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=\frac{-179}{12}+5x\\x+5y=\frac{77}{36}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-y=\frac{-297}{26}\\-3x=2y+\frac{-139}{26}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{96}{35}+3x\\x-2y=\frac{-62}{35}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-5y=\frac{55}{8}\\-x=6y+\frac{101}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x+4y=\frac{-32}{5}\\x=2y+\frac{18}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+3y=\frac{-12}{85}\\x-5y=\frac{28}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x+2y=\frac{-124}{15}\\2x=y+\frac{8}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-x-2y=1\\3x=3y+\frac{33}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x-y=\frac{16}{19}\\-2x+5y=\frac{-23}{19}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4y=\frac{-311}{55}-5x\\3x+y=\frac{-731}{220}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+2y=\frac{-1033}{22}\\-x=-4y+\frac{-185}{22}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6x+5y=\frac{-336}{19}\\2x=-y+\frac{-308}{57}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=\frac{-179}{12}+5x\\x+5y=\frac{77}{36}\end{matrix}\right.\qquad V=\{(\frac{13}{4},\frac{-2}{9})\}\)
2. \(\left\{\begin{matrix}-5x-y=\frac{-297}{26}\\-3x=2y+\frac{-139}{26}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{-14}{13})\}\)
3. \(\left\{\begin{matrix}4y=\frac{96}{35}+3x\\x-2y=\frac{-62}{35}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{9}{7})\}\)
4. \(\left\{\begin{matrix}5x-5y=\frac{55}{8}\\-x=6y+\frac{101}{8}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},-2)\}\)
5. \(\left\{\begin{matrix}2x+4y=\frac{-32}{5}\\x=2y+\frac{18}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{-17}{10})\}\)
6. \(\left\{\begin{matrix}-3x+3y=\frac{-12}{85}\\x-5y=\frac{28}{17}\end{matrix}\right.\qquad V=\{(\frac{-6}{17},\frac{-2}{5})\}\)
7. \(\left\{\begin{matrix}4x+2y=\frac{-124}{15}\\2x=y+\frac{8}{15}\end{matrix}\right.\qquad V=\{(\frac{-9}{10},\frac{-7}{3})\}\)
8. \(\left\{\begin{matrix}-x-2y=1\\3x=3y+\frac{33}{4}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{-5}{4})\}\)
9. \(\left\{\begin{matrix}x-y=\frac{16}{19}\\-2x+5y=\frac{-23}{19}\end{matrix}\right.\qquad V=\{(1,\frac{3}{19})\}\)
10. \(\left\{\begin{matrix}4y=\frac{-311}{55}-5x\\3x+y=\frac{-731}{220}\end{matrix}\right.\qquad V=\{(\frac{-12}{11},\frac{-1}{20})\}\)
11. \(\left\{\begin{matrix}-5x+2y=\frac{-1033}{22}\\-x=-4y+\frac{-185}{22}\end{matrix}\right.\qquad V=\{(\frac{19}{2},\frac{3}{11})\}\)
12. \(\left\{\begin{matrix}6x+5y=\frac{-336}{19}\\2x=-y+\frac{-308}{57}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{-14}{19})\}\)