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Substitutie of combinatie

1. \(\left\{\begin{matrix}-y=\frac{88}{21}+3x\\5x-6y=\frac{-26}{63}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-y=\frac{53}{19}-x\\4x+3y=\frac{107}{19}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}4y=\frac{11}{2}-3x\\x-2y=\frac{-3}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-4x-3y=\frac{1229}{133}\\-6x-y=\frac{1917}{133}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6x-5y=\frac{-389}{272}\\-5x-y=\frac{591}{272}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+4y=-28\\x=3y+\frac{53}{2}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-2x+4y=\frac{14}{19}\\-4x+y=\frac{-63}{19}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}y=\frac{-63}{2}-6x\\6x+6y=-29\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+3y=\frac{37}{7}\\6x-3y=\frac{-72}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x+y=\frac{247}{28}\\-5x+3y=\frac{-279}{28}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x+6y=\frac{-123}{10}\\x=-2y+\frac{-159}{40}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-5y=\frac{820}{221}\\2x+6y=\frac{-1120}{221}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-y=\frac{88}{21}+3x\\5x-6y=\frac{-26}{63}\end{matrix}\right.\qquad V=\{(\frac{-10}{9},\frac{-6}{7})\}\)
2. \(\left\{\begin{matrix}-y=\frac{53}{19}-x\\4x+3y=\frac{107}{19}\end{matrix}\right.\qquad V=\{(2,\frac{-15}{19})\}\)
3. \(\left\{\begin{matrix}4y=\frac{11}{2}-3x\\x-2y=\frac{-3}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{2},1)\}\)
4. \(\left\{\begin{matrix}-4x-3y=\frac{1229}{133}\\-6x-y=\frac{1917}{133}\end{matrix}\right.\qquad V=\{(\frac{-17}{7},\frac{3}{19})\}\)
5. \(\left\{\begin{matrix}-6x-5y=\frac{-389}{272}\\-5x-y=\frac{591}{272}\end{matrix}\right.\qquad V=\{(\frac{-11}{17},\frac{17}{16})\}\)
6. \(\left\{\begin{matrix}-5x+4y=-28\\x=3y+\frac{53}{2}\end{matrix}\right.\qquad V=\{(-2,\frac{-19}{2})\}\)
7. \(\left\{\begin{matrix}-2x+4y=\frac{14}{19}\\-4x+y=\frac{-63}{19}\end{matrix}\right.\qquad V=\{(1,\frac{13}{19})\}\)
8. \(\left\{\begin{matrix}y=\frac{-63}{2}-6x\\6x+6y=-29\end{matrix}\right.\qquad V=\{(\frac{-16}{3},\frac{1}{2})\}\)
9. \(\left\{\begin{matrix}x+3y=\frac{37}{7}\\6x-3y=\frac{-72}{7}\end{matrix}\right.\qquad V=\{(\frac{-5}{7},2)\}\)
10. \(\left\{\begin{matrix}4x+y=\frac{247}{28}\\-5x+3y=\frac{-279}{28}\end{matrix}\right.\qquad V=\{(\frac{15}{7},\frac{1}{4})\}\)
11. \(\left\{\begin{matrix}4x+6y=\frac{-123}{10}\\x=-2y+\frac{-159}{40}\end{matrix}\right.\qquad V=\{(\frac{-3}{8},\frac{-9}{5})\}\)
12. \(\left\{\begin{matrix}-x-5y=\frac{820}{221}\\2x+6y=\frac{-1120}{221}\end{matrix}\right.\qquad V=\{(\frac{-10}{13},\frac{-10}{17})\}\)