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Substitutie of combinatie

1. \(\left\{\begin{matrix}3x-y=\frac{73}{180}\\-5x+3y=\frac{-17}{12}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{-37}{68}-6x\\-x+3y=\frac{239}{136}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6y=\frac{-203}{11}+x\\2x-2y=\frac{416}{11}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-3x+3y=\frac{-101}{8}\\x-4y=\frac{341}{24}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x-y=\frac{-40}{9}\\-5x=-2y+\frac{59}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x+y=\frac{54}{17}\\6x+4y=\frac{222}{17}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}2x-y=\frac{553}{170}\\-4x=-3y+\frac{-1259}{170}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{-254}{85}+2x\\-x+y=\frac{43}{85}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+5y=\frac{112}{9}\\2x=-y+\frac{32}{9}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-6y=\frac{273}{38}\\4x-y=\frac{-96}{19}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-4y=\frac{-256}{5}+3x\\-6x+y=\frac{-476}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2x+5y=\frac{-253}{18}\\-x-4y=\frac{83}{9}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}3x-y=\frac{73}{180}\\-5x+3y=\frac{-17}{12}\end{matrix}\right.\qquad V=\{(\frac{-1}{20},\frac{-5}{9})\}\)
2. \(\left\{\begin{matrix}-2y=\frac{-37}{68}-6x\\-x+3y=\frac{239}{136}\end{matrix}\right.\qquad V=\{(\frac{2}{17},\frac{5}{8})\}\)
3. \(\left\{\begin{matrix}6y=\frac{-203}{11}+x\\2x-2y=\frac{416}{11}\end{matrix}\right.\qquad V=\{(19,\frac{1}{11})\}\)
4. \(\left\{\begin{matrix}-3x+3y=\frac{-101}{8}\\x-4y=\frac{341}{24}\end{matrix}\right.\qquad V=\{(\frac{7}{8},\frac{-10}{3})\}\)
5. \(\left\{\begin{matrix}4x-y=\frac{-40}{9}\\-5x=-2y+\frac{59}{9}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},\frac{4}{3})\}\)
6. \(\left\{\begin{matrix}x+y=\frac{54}{17}\\6x+4y=\frac{222}{17}\end{matrix}\right.\qquad V=\{(\frac{3}{17},3)\}\)
7. \(\left\{\begin{matrix}2x-y=\frac{553}{170}\\-4x=-3y+\frac{-1259}{170}\end{matrix}\right.\qquad V=\{(\frac{20}{17},\frac{-9}{10})\}\)
8. \(\left\{\begin{matrix}-3y=\frac{-254}{85}+2x\\-x+y=\frac{43}{85}\end{matrix}\right.\qquad V=\{(\frac{5}{17},\frac{4}{5})\}\)
9. \(\left\{\begin{matrix}6x+5y=\frac{112}{9}\\2x=-y+\frac{32}{9}\end{matrix}\right.\qquad V=\{(\frac{4}{3},\frac{8}{9})\}\)
10. \(\left\{\begin{matrix}-6x-6y=\frac{273}{38}\\4x-y=\frac{-96}{19}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{1}{19})\}\)
11. \(\left\{\begin{matrix}-4y=\frac{-256}{5}+3x\\-6x+y=\frac{-476}{5}\end{matrix}\right.\qquad V=\{(16,\frac{4}{5})\}\)
12. \(\left\{\begin{matrix}-2x+5y=\frac{-253}{18}\\-x-4y=\frac{83}{9}\end{matrix}\right.\qquad V=\{(\frac{7}{9},\frac{-5}{2})\}\)