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Substitutie of combinatie

1. \(\left\{\begin{matrix}4y=\frac{17}{21}-3x\\2x+y=\frac{23}{21}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-x-2y=\frac{-88}{85}\\3x=2y+\frac{184}{85}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-6x+4y=\frac{-173}{10}\\x+y=\frac{101}{20}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x-4y=\frac{32}{15}\\-x+y=\frac{-26}{15}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3x-5y=\frac{9}{17}\\-5x-y=\frac{155}{51}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5y=\frac{-211}{14}+5x\\-x-4y=\frac{-799}{70}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}4x-3y=\frac{-71}{35}\\5x=-y+\frac{-13}{7}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}x-5y=\frac{-249}{10}\\-4x=-4y+\frac{98}{5}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5y=\frac{329}{48}+x\\-3x-6y=\frac{829}{80}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2x+3y=\frac{257}{119}\\4x+y=\frac{199}{119}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}3x-3y=\frac{183}{8}\\-x=y+\frac{99}{8}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-2y=\frac{-61}{3}-5x\\-x+y=\frac{55}{6}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4y=\frac{17}{21}-3x\\2x+y=\frac{23}{21}\end{matrix}\right.\qquad V=\{(\frac{5}{7},\frac{-1}{3})\}\)
2. \(\left\{\begin{matrix}-x-2y=\frac{-88}{85}\\3x=2y+\frac{184}{85}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{2}{17})\}\)
3. \(\left\{\begin{matrix}-6x+4y=\frac{-173}{10}\\x+y=\frac{101}{20}\end{matrix}\right.\qquad V=\{(\frac{15}{4},\frac{13}{10})\}\)
4. \(\left\{\begin{matrix}-2x-4y=\frac{32}{15}\\-x+y=\frac{-26}{15}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-14}{15})\}\)
5. \(\left\{\begin{matrix}-3x-5y=\frac{9}{17}\\-5x-y=\frac{155}{51}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{5}{17})\}\)
6. \(\left\{\begin{matrix}-5y=\frac{-211}{14}+5x\\-x-4y=\frac{-799}{70}\end{matrix}\right.\qquad V=\{(\frac{3}{14},\frac{14}{5})\}\)
7. \(\left\{\begin{matrix}4x-3y=\frac{-71}{35}\\5x=-y+\frac{-13}{7}\end{matrix}\right.\qquad V=\{(\frac{-2}{5},\frac{1}{7})\}\)
8. \(\left\{\begin{matrix}x-5y=\frac{-249}{10}\\-4x=-4y+\frac{98}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{10},5)\}\)
9. \(\left\{\begin{matrix}-5y=\frac{329}{48}+x\\-3x-6y=\frac{829}{80}\end{matrix}\right.\qquad V=\{(\frac{-19}{16},\frac{-17}{15})\}\)
10. \(\left\{\begin{matrix}2x+3y=\frac{257}{119}\\4x+y=\frac{199}{119}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{9}{17})\}\)
11. \(\left\{\begin{matrix}3x-3y=\frac{183}{8}\\-x=y+\frac{99}{8}\end{matrix}\right.\qquad V=\{(\frac{-19}{8},-10)\}\)
12. \(\left\{\begin{matrix}-2y=\frac{-61}{3}-5x\\-x+y=\frac{55}{6}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{17}{2})\}\)