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Substitutie of combinatie

1. \(\left\{\begin{matrix}2x+6y=6\\x=4y+\frac{-34}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x+4y=\frac{145}{12}\\-x=4y+\frac{-133}{12}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+4y=\frac{-18}{5}\\-x=2y+\frac{23}{15}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3x-5y=\frac{-4}{15}\\-2x+y=\frac{-16}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x+y=\frac{61}{12}\\4x+5y=\frac{1}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6y=\frac{-465}{68}+x\\-2x-6y=\frac{-309}{34}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x+3y=-25\\-x+4y=\frac{-37}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{-163}{44}+3x\\x-3y=\frac{129}{44}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5x+3y=\frac{-10}{3}\\3x+y=\frac{-22}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4x-5y=\frac{4}{3}\\-x+3y=\frac{-46}{15}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-y=\frac{-157}{3}+4x\\2x-4y=\frac{128}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-6y=\frac{206}{55}-5x\\x-y=\frac{128}{165}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}2x+6y=6\\x=4y+\frac{-34}{5}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{7}{5})\}\)
2. \(\left\{\begin{matrix}-3x+4y=\frac{145}{12}\\-x=4y+\frac{-133}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},\frac{17}{6})\}\)
3. \(\left\{\begin{matrix}3x+4y=\frac{-18}{5}\\-x=2y+\frac{23}{15}\end{matrix}\right.\qquad V=\{(\frac{-8}{15},\frac{-1}{2})\}\)
4. \(\left\{\begin{matrix}3x-5y=\frac{-4}{15}\\-2x+y=\frac{-16}{15}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{8}{15})\}\)
5. \(\left\{\begin{matrix}-3x+y=\frac{61}{12}\\4x+5y=\frac{1}{12}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{13}{12})\}\)
6. \(\left\{\begin{matrix}-6y=\frac{-465}{68}+x\\-2x-6y=\frac{-309}{34}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{13}{17})\}\)
7. \(\left\{\begin{matrix}-6x+3y=-25\\-x+4y=\frac{-37}{3}\end{matrix}\right.\qquad V=\{(3,\frac{-7}{3})\}\)
8. \(\left\{\begin{matrix}2y=\frac{-163}{44}+3x\\x-3y=\frac{129}{44}\end{matrix}\right.\qquad V=\{(\frac{3}{4},\frac{-8}{11})\}\)
9. \(\left\{\begin{matrix}5x+3y=\frac{-10}{3}\\3x+y=\frac{-22}{9}\end{matrix}\right.\qquad V=\{(-1,\frac{5}{9})\}\)
10. \(\left\{\begin{matrix}-4x-5y=\frac{4}{3}\\-x+3y=\frac{-46}{15}\end{matrix}\right.\qquad V=\{(\frac{2}{3},\frac{-4}{5})\}\)
11. \(\left\{\begin{matrix}-y=\frac{-157}{3}+4x\\2x-4y=\frac{128}{3}\end{matrix}\right.\qquad V=\{(14,\frac{-11}{3})\}\)
12. \(\left\{\begin{matrix}-6y=\frac{206}{55}-5x\\x-y=\frac{128}{165}\end{matrix}\right.\qquad V=\{(\frac{10}{11},\frac{2}{15})\}\)