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Substitutie of combinatie

1. \(\left\{\begin{matrix}x+4y=\frac{39}{2}\\-5x=2y+\frac{-219}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-4y=\frac{414}{17}\\x=y+\frac{105}{17}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{-35}{3}+3x\\x-y=\frac{35}{9}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2y=\frac{-906}{247}-4x\\-x-y=\frac{402}{247}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-4y=\frac{332}{39}-6x\\-6x+y=\frac{-137}{39}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4y=\frac{118}{3}-4x\\-5x+y=\frac{-79}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-y=\frac{-26}{3}\\-4x=-2y+\frac{58}{3}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x+6y=\frac{-41}{8}\\2x=3y+\frac{-119}{16}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+3y=\frac{5}{6}\\2x+4y=\frac{8}{3}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2x+2y=\frac{-288}{85}\\-x+6y=\frac{156}{85}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5y=\frac{-55}{18}-4x\\x-3y=\frac{-2}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}6y=42-3x\\x-3y=\frac{-19}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x+4y=\frac{39}{2}\\-5x=2y+\frac{-219}{4}\end{matrix}\right.\qquad V=\{(10,\frac{19}{8})\}\)
2. \(\left\{\begin{matrix}2x-4y=\frac{414}{17}\\x=y+\frac{105}{17}\end{matrix}\right.\qquad V=\{(\frac{3}{17},-6)\}\)
3. \(\left\{\begin{matrix}3y=\frac{-35}{3}+3x\\x-y=\frac{35}{9}\end{matrix}\right.\qquad V=\{(\frac{8}{9},-3)\}\)
4. \(\left\{\begin{matrix}-2y=\frac{-906}{247}-4x\\-x-y=\frac{402}{247}\end{matrix}\right.\qquad V=\{(\frac{-15}{13},\frac{-9}{19})\}\)
5. \(\left\{\begin{matrix}-4y=\frac{332}{39}-6x\\-6x+y=\frac{-137}{39}\end{matrix}\right.\qquad V=\{(\frac{4}{13},\frac{-5}{3})\}\)
6. \(\left\{\begin{matrix}-4y=\frac{118}{3}-4x\\-5x+y=\frac{-79}{6}\end{matrix}\right.\qquad V=\{(\frac{5}{6},-9)\}\)
7. \(\left\{\begin{matrix}-x-y=\frac{-26}{3}\\-4x=-2y+\frac{58}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{3},9)\}\)
8. \(\left\{\begin{matrix}x+6y=\frac{-41}{8}\\2x=3y+\frac{-119}{16}\end{matrix}\right.\qquad V=\{(-4,\frac{-3}{16})\}\)
9. \(\left\{\begin{matrix}x+3y=\frac{5}{6}\\2x+4y=\frac{8}{3}\end{matrix}\right.\qquad V=\{(\frac{7}{3},\frac{-1}{2})\}\)
10. \(\left\{\begin{matrix}-2x+2y=\frac{-288}{85}\\-x+6y=\frac{156}{85}\end{matrix}\right.\qquad V=\{(\frac{12}{5},\frac{12}{17})\}\)
11. \(\left\{\begin{matrix}-5y=\frac{-55}{18}-4x\\x-3y=\frac{-2}{3}\end{matrix}\right.\qquad V=\{(\frac{-5}{6},\frac{-1}{18})\}\)
12. \(\left\{\begin{matrix}6y=42-3x\\x-3y=\frac{-19}{4}\end{matrix}\right.\qquad V=\{(\frac{13}{2},\frac{15}{4})\}\)