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Substitutie of combinatie

1. \(\left\{\begin{matrix}x-2y=\frac{43}{15}\\-3x=3y+\frac{-16}{5}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6y=\frac{-47}{4}+x\\-2x+4y=\frac{-15}{2}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3x+6y=\frac{87}{4}\\4x-y=\frac{-5}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-x+5y=\frac{116}{39}\\5x-5y=\frac{-220}{39}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}x+y=\frac{-17}{20}\\-3x-2y=\frac{157}{60}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}4y=\frac{77}{18}-x\\-6x-3y=\frac{-7}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-5x-5y=\frac{-205}{34}\\-4x=-y+\frac{91}{34}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-5x-6y=\frac{167}{7}\\-x+3y=\frac{-94}{7}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6x+2y=\frac{-13}{21}\\x-4y=\frac{-1027}{126}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-6x-5y=\frac{13}{3}\\-5x=y+\frac{4}{9}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-2y=\frac{11}{18}+5x\\-x-2y=\frac{43}{18}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{-21}{5}+3x\\-x+2y=\frac{34}{15}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}x-2y=\frac{43}{15}\\-3x=3y+\frac{-16}{5}\end{matrix}\right.\qquad V=\{(\frac{5}{3},\frac{-3}{5})\}\)
2. \(\left\{\begin{matrix}6y=\frac{-47}{4}+x\\-2x+4y=\frac{-15}{2}\end{matrix}\right.\qquad V=\{(\frac{-1}{4},-2)\}\)
3. \(\left\{\begin{matrix}3x+6y=\frac{87}{4}\\4x-y=\frac{-5}{2}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{7}{2})\}\)
4. \(\left\{\begin{matrix}-x+5y=\frac{116}{39}\\5x-5y=\frac{-220}{39}\end{matrix}\right.\qquad V=\{(\frac{-2}{3},\frac{6}{13})\}\)
5. \(\left\{\begin{matrix}x+y=\frac{-17}{20}\\-3x-2y=\frac{157}{60}\end{matrix}\right.\qquad V=\{(\frac{-11}{12},\frac{1}{15})\}\)
6. \(\left\{\begin{matrix}4y=\frac{77}{18}-x\\-6x-3y=\frac{-7}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{6},\frac{10}{9})\}\)
7. \(\left\{\begin{matrix}-5x-5y=\frac{-205}{34}\\-4x=-y+\frac{91}{34}\end{matrix}\right.\qquad V=\{(\frac{-5}{17},\frac{3}{2})\}\)
8. \(\left\{\begin{matrix}-5x-6y=\frac{167}{7}\\-x+3y=\frac{-94}{7}\end{matrix}\right.\qquad V=\{(\frac{3}{7},\frac{-13}{3})\}\)
9. \(\left\{\begin{matrix}6x+2y=\frac{-13}{21}\\x-4y=\frac{-1027}{126}\end{matrix}\right.\qquad V=\{(\frac{-13}{18},\frac{13}{7})\}\)
10. \(\left\{\begin{matrix}-6x-5y=\frac{13}{3}\\-5x=y+\frac{4}{9}\end{matrix}\right.\qquad V=\{(\frac{1}{9},-1)\}\)
11. \(\left\{\begin{matrix}-2y=\frac{11}{18}+5x\\-x-2y=\frac{43}{18}\end{matrix}\right.\qquad V=\{(\frac{4}{9},\frac{-17}{12})\}\)
12. \(\left\{\begin{matrix}-5y=\frac{-21}{5}+3x\\-x+2y=\frac{34}{15}\end{matrix}\right.\qquad V=\{(\frac{-4}{15},1)\}\)