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Substitutie of combinatie

1. \(\left\{\begin{matrix}6x-3y=\frac{23}{3}\\-x-5y=\frac{-61}{9}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}6x+3y=\frac{147}{11}\\-x-y=\frac{-65}{22}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-3x+5y=\frac{-2}{19}\\x-5y=\frac{26}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-2x+4y=\frac{38}{5}\\-x+y=\frac{14}{5}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-5y=\frac{347}{190}-x\\-4x+5y=\frac{-544}{95}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x+2y=\frac{239}{18}\\-3x=-y+\frac{20}{3}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}x+2y=\frac{-157}{63}\\-6x=2y+\frac{134}{21}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-6x+3y=\frac{1494}{85}\\-x+y=\frac{294}{85}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4y=\frac{121}{15}+5x\\-3x-y=\frac{73}{20}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-y=\frac{9}{7}\\6x+5y=\frac{-3}{7}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}x-6y=\frac{109}{4}\\-6x-5y=\frac{167}{6}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-5y=\frac{185}{133}+4x\\-x-3y=\frac{-177}{266}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6x-3y=\frac{23}{3}\\-x-5y=\frac{-61}{9}\end{matrix}\right.\qquad V=\{(\frac{16}{9},1)\}\)
2. \(\left\{\begin{matrix}6x+3y=\frac{147}{11}\\-x-y=\frac{-65}{22}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{16}{11})\}\)
3. \(\left\{\begin{matrix}-3x+5y=\frac{-2}{19}\\x-5y=\frac{26}{19}\end{matrix}\right.\qquad V=\{(\frac{-12}{19},\frac{-2}{5})\}\)
4. \(\left\{\begin{matrix}-2x+4y=\frac{38}{5}\\-x+y=\frac{14}{5}\end{matrix}\right.\qquad V=\{(\frac{-9}{5},1)\}\)
5. \(\left\{\begin{matrix}-5y=\frac{347}{190}-x\\-4x+5y=\frac{-544}{95}\end{matrix}\right.\qquad V=\{(\frac{13}{10},\frac{-2}{19})\}\)
6. \(\left\{\begin{matrix}-5x+2y=\frac{239}{18}\\-3x=-y+\frac{20}{3}\end{matrix}\right.\qquad V=\{(\frac{-1}{18},\frac{13}{2})\}\)
7. \(\left\{\begin{matrix}x+2y=\frac{-157}{63}\\-6x=2y+\frac{134}{21}\end{matrix}\right.\qquad V=\{(\frac{-7}{9},\frac{-6}{7})\}\)
8. \(\left\{\begin{matrix}-6x+3y=\frac{1494}{85}\\-x+y=\frac{294}{85}\end{matrix}\right.\qquad V=\{(\frac{-12}{5},\frac{18}{17})\}\)
9. \(\left\{\begin{matrix}4y=\frac{121}{15}+5x\\-3x-y=\frac{73}{20}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{7}{20})\}\)
10. \(\left\{\begin{matrix}3x-y=\frac{9}{7}\\6x+5y=\frac{-3}{7}\end{matrix}\right.\qquad V=\{(\frac{2}{7},\frac{-3}{7})\}\)
11. \(\left\{\begin{matrix}x-6y=\frac{109}{4}\\-6x-5y=\frac{167}{6}\end{matrix}\right.\qquad V=\{(\frac{-3}{4},\frac{-14}{3})\}\)
12. \(\left\{\begin{matrix}-5y=\frac{185}{133}+4x\\-x-3y=\frac{-177}{266}\end{matrix}\right.\qquad V=\{(\frac{-15}{14},\frac{11}{19})\}\)