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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-6y=\frac{774}{85}\\-x=5y+\frac{441}{85}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-5y=\frac{-355}{14}\\x-5y=\frac{65}{14}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x-4y=\frac{-1948}{171}\\x-2y=\frac{-596}{171}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+6y=\frac{-261}{20}\\-2x-6y=\frac{131}{10}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}2x-6y=\frac{70}{9}\\x-y=\frac{17}{9}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-4x+3y=\frac{310}{57}\\-x=-5y+\frac{1040}{171}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-x-6y=\frac{109}{22}\\-3x-2y=\frac{63}{22}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-5y=\frac{-16}{3}\\x=5y+\frac{-31}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x-4y=\frac{896}{255}\\x-2y=\frac{-32}{255}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}5x-4y=\frac{27}{7}\\-x=-4y+\frac{117}{35}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4y=\frac{29}{3}-x\\-6x-2y=\frac{134}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+5y=\frac{204}{65}\\6x=y+\frac{357}{65}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-6y=\frac{774}{85}\\-x=5y+\frac{441}{85}\end{matrix}\right.\qquad V=\{(\frac{2}{5},\frac{-19}{17})\}\)
2. \(\left\{\begin{matrix}-3x-5y=\frac{-355}{14}\\x-5y=\frac{65}{14}\end{matrix}\right.\qquad V=\{(\frac{15}{2},\frac{4}{7})\}\)
3. \(\left\{\begin{matrix}-4x-4y=\frac{-1948}{171}\\x-2y=\frac{-596}{171}\end{matrix}\right.\qquad V=\{(\frac{14}{19},\frac{19}{9})\}\)
4. \(\left\{\begin{matrix}x+6y=\frac{-261}{20}\\-2x-6y=\frac{131}{10}\end{matrix}\right.\qquad V=\{(\frac{-1}{20},\frac{-13}{6})\}\)
5. \(\left\{\begin{matrix}2x-6y=\frac{70}{9}\\x-y=\frac{17}{9}\end{matrix}\right.\qquad V=\{(\frac{8}{9},-1)\}\)
6. \(\left\{\begin{matrix}-4x+3y=\frac{310}{57}\\-x=-5y+\frac{1040}{171}\end{matrix}\right.\qquad V=\{(\frac{-10}{19},\frac{10}{9})\}\)
7. \(\left\{\begin{matrix}-x-6y=\frac{109}{22}\\-3x-2y=\frac{63}{22}\end{matrix}\right.\qquad V=\{(\frac{-5}{11},\frac{-3}{4})\}\)
8. \(\left\{\begin{matrix}4x-5y=\frac{-16}{3}\\x=5y+\frac{-31}{3}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{12}{5})\}\)
9. \(\left\{\begin{matrix}6x-4y=\frac{896}{255}\\x-2y=\frac{-32}{255}\end{matrix}\right.\qquad V=\{(\frac{16}{17},\frac{8}{15})\}\)
10. \(\left\{\begin{matrix}5x-4y=\frac{27}{7}\\-x=-4y+\frac{117}{35}\end{matrix}\right.\qquad V=\{(\frac{9}{5},\frac{9}{7})\}\)
11. \(\left\{\begin{matrix}4y=\frac{29}{3}-x\\-6x-2y=\frac{134}{3}\end{matrix}\right.\qquad V=\{(-9,\frac{14}{3})\}\)
12. \(\left\{\begin{matrix}-3x+5y=\frac{204}{65}\\6x=y+\frac{357}{65}\end{matrix}\right.\qquad V=\{(\frac{17}{15},\frac{17}{13})\}\)