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Substitutie of combinatie

1. \(\left\{\begin{matrix}-2y=\frac{74}{7}-6x\\-3x+y=\frac{-37}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=50+6x\\-x+4y=\frac{21}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3y=\frac{338}{105}+4x\\x+3y=\frac{-422}{105}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6x-4y=\frac{-258}{17}\\x+4y=\frac{298}{17}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}5x-5y=-23\\-3x+y=\frac{39}{5}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+3y=\frac{-61}{48}\\5x=y+\frac{151}{144}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+2y=\frac{255}{208}\\x-5y=\frac{123}{208}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}2y=\frac{-463}{221}-5x\\x+y=\frac{-155}{221}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}5y=\frac{37}{12}-x\\-5x+4y=\frac{19}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+2y=13\\x+3y=\frac{-1}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}5x-y=\frac{29}{6}\\-6x-6y=\frac{-59}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{16}{11}+4x\\-5x-y=\frac{-75}{11}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-2y=\frac{74}{7}-6x\\-3x+y=\frac{-37}{7}\end{matrix}\right.\qquad V=\{(\frac{10}{7},-1)\}\)
2. \(\left\{\begin{matrix}-2y=50+6x\\-x+4y=\frac{21}{2}\end{matrix}\right.\qquad V=\{(\frac{-17}{2},\frac{1}{2})\}\)
3. \(\left\{\begin{matrix}-3y=\frac{338}{105}+4x\\x+3y=\frac{-422}{105}\end{matrix}\right.\qquad V=\{(\frac{4}{15},\frac{-10}{7})\}\)
4. \(\left\{\begin{matrix}-6x-4y=\frac{-258}{17}\\x+4y=\frac{298}{17}\end{matrix}\right.\qquad V=\{(\frac{-8}{17},\frac{9}{2})\}\)
5. \(\left\{\begin{matrix}5x-5y=-23\\-3x+y=\frac{39}{5}\end{matrix}\right.\qquad V=\{(\frac{-8}{5},3)\}\)
6. \(\left\{\begin{matrix}-5x+3y=\frac{-61}{48}\\5x=y+\frac{151}{144}\end{matrix}\right.\qquad V=\{(\frac{3}{16},\frac{-1}{9})\}\)
7. \(\left\{\begin{matrix}-3x+2y=\frac{255}{208}\\x-5y=\frac{123}{208}\end{matrix}\right.\qquad V=\{(\frac{-9}{16},\frac{-3}{13})\}\)
8. \(\left\{\begin{matrix}2y=\frac{-463}{221}-5x\\x+y=\frac{-155}{221}\end{matrix}\right.\qquad V=\{(\frac{-3}{13},\frac{-8}{17})\}\)
9. \(\left\{\begin{matrix}5y=\frac{37}{12}-x\\-5x+4y=\frac{19}{3}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{3}{4})\}\)
10. \(\left\{\begin{matrix}-2x+2y=13\\x+3y=\frac{-1}{2}\end{matrix}\right.\qquad V=\{(-5,\frac{3}{2})\}\)
11. \(\left\{\begin{matrix}5x-y=\frac{29}{6}\\-6x-6y=\frac{-59}{5}\end{matrix}\right.\qquad V=\{(\frac{17}{15},\frac{5}{6})\}\)
12. \(\left\{\begin{matrix}3y=\frac{16}{11}+4x\\-5x-y=\frac{-75}{11}\end{matrix}\right.\qquad V=\{(1,\frac{20}{11})\}\)