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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x-5y=\frac{-5}{3}\\-3x=-y+\frac{-1}{30}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3y=\frac{-37}{13}+x\\6x-3y=\frac{87}{13}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}6y=\frac{497}{40}+3x\\-4x-y=\frac{191}{30}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}2x-2y=\frac{-11}{15}\\-x=5y+\frac{-43}{30}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-6y=-2+3x\\5x-y=\frac{32}{3}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}3x+2y=\frac{19}{10}\\x=-5y+\frac{-17}{6}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x+2y=\frac{-145}{99}\\-x=-y+\frac{-56}{99}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3x+2y=\frac{-315}{136}\\x+y=\frac{225}{136}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+5y=\frac{25}{4}\\-3x-y=\frac{-53}{16}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-5x-6y=\frac{-19}{2}\\x=2y+\frac{-13}{10}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3y=\frac{338}{133}+2x\\-x+y=\frac{150}{133}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{437}{70}+2x\\x+6y=\frac{-1137}{140}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x-5y=\frac{-5}{3}\\-3x=-y+\frac{-1}{30}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{7}{15})\}\)
2. \(\left\{\begin{matrix}3y=\frac{-37}{13}+x\\6x-3y=\frac{87}{13}\end{matrix}\right.\qquad V=\{(\frac{10}{13},\frac{-9}{13})\}\)
3. \(\left\{\begin{matrix}6y=\frac{497}{40}+3x\\-4x-y=\frac{191}{30}\end{matrix}\right.\qquad V=\{(\frac{-15}{8},\frac{17}{15})\}\)
4. \(\left\{\begin{matrix}2x-2y=\frac{-11}{15}\\-x=5y+\frac{-43}{30}\end{matrix}\right.\qquad V=\{(\frac{-1}{15},\frac{3}{10})\}\)
5. \(\left\{\begin{matrix}-6y=-2+3x\\5x-y=\frac{32}{3}\end{matrix}\right.\qquad V=\{(2,\frac{-2}{3})\}\)
6. \(\left\{\begin{matrix}3x+2y=\frac{19}{10}\\x=-5y+\frac{-17}{6}\end{matrix}\right.\qquad V=\{(\frac{7}{6},\frac{-4}{5})\}\)
7. \(\left\{\begin{matrix}-5x+2y=\frac{-145}{99}\\-x=-y+\frac{-56}{99}\end{matrix}\right.\qquad V=\{(\frac{1}{9},\frac{-5}{11})\}\)
8. \(\left\{\begin{matrix}-3x+2y=\frac{-315}{136}\\x+y=\frac{225}{136}\end{matrix}\right.\qquad V=\{(\frac{9}{8},\frac{9}{17})\}\)
9. \(\left\{\begin{matrix}4x+5y=\frac{25}{4}\\-3x-y=\frac{-53}{16}\end{matrix}\right.\qquad V=\{(\frac{15}{16},\frac{1}{2})\}\)
10. \(\left\{\begin{matrix}-5x-6y=\frac{-19}{2}\\x=2y+\frac{-13}{10}\end{matrix}\right.\qquad V=\{(\frac{7}{10},1)\}\)
11. \(\left\{\begin{matrix}3y=\frac{338}{133}+2x\\-x+y=\frac{150}{133}\end{matrix}\right.\qquad V=\{(\frac{-16}{19},\frac{2}{7})\}\)
12. \(\left\{\begin{matrix}-5y=\frac{437}{70}+2x\\x+6y=\frac{-1137}{140}\end{matrix}\right.\qquad V=\{(\frac{9}{20},\frac{-10}{7})\}\)