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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6x-3y=\frac{-513}{110}\\x+2y=\frac{651}{220}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{151}{136}-4x\\x+y=\frac{-103}{272}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-y=\frac{41}{24}+x\\-3x+2y=\frac{-1}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x+6y=\frac{-31}{4}\\-x+5y=\frac{-5}{8}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3x+3y=\frac{423}{140}\\-x+3y=\frac{339}{140}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-2y=\frac{-22}{9}\\-2x-3y=\frac{-34}{9}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-y=\frac{-561}{80}-6x\\-4x-6y=\frac{237}{40}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}3y=\frac{31}{5}+6x\\-x+y=\frac{-4}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{197}{55}-2x\\-x-4y=\frac{-336}{55}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x+4y=\frac{1449}{38}\\-6x=y+\frac{852}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}2x-6y=\frac{-86}{11}\\x+4y=\frac{34}{11}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3x-6y=\frac{1065}{209}\\-x+4y=\frac{-545}{209}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6x-3y=\frac{-513}{110}\\x+2y=\frac{651}{220}\end{matrix}\right.\qquad V=\{(\frac{1}{20},\frac{16}{11})\}\)
2. \(\left\{\begin{matrix}-2y=\frac{151}{136}-4x\\x+y=\frac{-103}{272}\end{matrix}\right.\qquad V=\{(\frac{1}{17},\frac{-7}{16})\}\)
3. \(\left\{\begin{matrix}-y=\frac{41}{24}+x\\-3x+2y=\frac{-1}{2}\end{matrix}\right.\qquad V=\{(\frac{-7}{12},\frac{-9}{8})\}\)
4. \(\left\{\begin{matrix}-4x+6y=\frac{-31}{4}\\-x+5y=\frac{-5}{8}\end{matrix}\right.\qquad V=\{(\frac{5}{2},\frac{3}{8})\}\)
5. \(\left\{\begin{matrix}3x+3y=\frac{423}{140}\\-x+3y=\frac{339}{140}\end{matrix}\right.\qquad V=\{(\frac{3}{20},\frac{6}{7})\}\)
6. \(\left\{\begin{matrix}-x-2y=\frac{-22}{9}\\-2x-3y=\frac{-34}{9}\end{matrix}\right.\qquad V=\{(\frac{2}{9},\frac{10}{9})\}\)
7. \(\left\{\begin{matrix}-y=\frac{-561}{80}-6x\\-4x-6y=\frac{237}{40}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{-3}{16})\}\)
8. \(\left\{\begin{matrix}3y=\frac{31}{5}+6x\\-x+y=\frac{-4}{15}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{-13}{5})\}\)
9. \(\left\{\begin{matrix}3y=\frac{197}{55}-2x\\-x-4y=\frac{-336}{55}\end{matrix}\right.\qquad V=\{(\frac{-4}{5},\frac{19}{11})\}\)
10. \(\left\{\begin{matrix}-5x+4y=\frac{1449}{38}\\-6x=y+\frac{852}{19}\end{matrix}\right.\qquad V=\{(\frac{-15}{2},\frac{3}{19})\}\)
11. \(\left\{\begin{matrix}2x-6y=\frac{-86}{11}\\x+4y=\frac{34}{11}\end{matrix}\right.\qquad V=\{(\frac{-10}{11},1)\}\)
12. \(\left\{\begin{matrix}3x-6y=\frac{1065}{209}\\-x+4y=\frac{-545}{209}\end{matrix}\right.\qquad V=\{(\frac{15}{19},\frac{-5}{11})\}\)