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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+6y=\frac{-456}{7}\\-x=-y+\frac{-75}{7}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}2x-3y=\frac{-37}{3}\\-4x-y=\frac{32}{3}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4x+5y=\frac{112}{17}\\-x=-5y+\frac{79}{17}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-6y=\frac{1128}{11}-5x\\-x-6y=\frac{1200}{11}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-x+6y=\frac{-149}{42}\\-4x=-2y+\frac{-355}{63}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-y=\frac{1}{12}+5x\\-4x-2y=\frac{5}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+5y=\frac{155}{4}\\-5x=-6y+\frac{217}{4}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=\frac{53}{8}-6x\\x-6y=\frac{47}{16}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-5x+2y=\frac{383}{68}\\x-4y=\frac{-307}{68}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}6x+5y=\frac{671}{8}\\-x+4y=\frac{-5}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x+4y=\frac{277}{28}\\-4x+2y=\frac{-115}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}2x+3y=\frac{-127}{60}\\x-y=\frac{-191}{60}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+6y=\frac{-456}{7}\\-x=-y+\frac{-75}{7}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},-11)\}\)
2. \(\left\{\begin{matrix}2x-3y=\frac{-37}{3}\\-4x-y=\frac{32}{3}\end{matrix}\right.\qquad V=\{(\frac{-19}{6},2)\}\)
3. \(\left\{\begin{matrix}-4x+5y=\frac{112}{17}\\-x=-5y+\frac{79}{17}\end{matrix}\right.\qquad V=\{(\frac{-11}{17},\frac{4}{5})\}\)
4. \(\left\{\begin{matrix}-6y=\frac{1128}{11}-5x\\-x-6y=\frac{1200}{11}\end{matrix}\right.\qquad V=\{(\frac{-12}{11},-18)\}\)
5. \(\left\{\begin{matrix}-x+6y=\frac{-149}{42}\\-4x=-2y+\frac{-355}{63}\end{matrix}\right.\qquad V=\{(\frac{17}{14},\frac{-7}{18})\}\)
6. \(\left\{\begin{matrix}-y=\frac{1}{12}+5x\\-4x-2y=\frac{5}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{-4}{3})\}\)
7. \(\left\{\begin{matrix}x+5y=\frac{155}{4}\\-5x=-6y+\frac{217}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},8)\}\)
8. \(\left\{\begin{matrix}-3y=\frac{53}{8}-6x\\x-6y=\frac{47}{16}\end{matrix}\right.\qquad V=\{(\frac{15}{16},\frac{-1}{3})\}\)
9. \(\left\{\begin{matrix}-5x+2y=\frac{383}{68}\\x-4y=\frac{-307}{68}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{16}{17})\}\)
10. \(\left\{\begin{matrix}6x+5y=\frac{671}{8}\\-x+4y=\frac{-5}{2}\end{matrix}\right.\qquad V=\{(12,\frac{19}{8})\}\)
11. \(\left\{\begin{matrix}x+4y=\frac{277}{28}\\-4x+2y=\frac{-115}{7}\end{matrix}\right.\qquad V=\{(\frac{19}{4},\frac{9}{7})\}\)
12. \(\left\{\begin{matrix}2x+3y=\frac{-127}{60}\\x-y=\frac{-191}{60}\end{matrix}\right.\qquad V=\{(\frac{-7}{3},\frac{17}{20})\}\)