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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{-30}{11}-2x\\-x-2y=\frac{34}{33}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x+2y=\frac{-31}{24}\\-x=-y+\frac{-7}{48}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}2x-3y=\frac{607}{152}\\-x=-y+\frac{-487}{304}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}3y=\frac{456}{119}+6x\\x-3y=\frac{-286}{119}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{1090}{11}+5x\\-x+5y=\frac{134}{11}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-6x-2y=\frac{-281}{110}\\x=-6y+\frac{-1493}{220}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6y=\frac{-53}{3}-x\\-6x+2y=\frac{818}{9}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}6x+4y=\frac{-35}{6}\\-x+3y=\frac{37}{72}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}3y=\frac{-123}{112}-3x\\-5x-y=\frac{-211}{112}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}4x-y=\frac{-19}{6}\\-3x=2y+\frac{13}{24}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}y=\frac{11}{3}-2x\\2x-5y=\frac{-37}{3}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-x-5y=\frac{293}{21}\\-5x+6y=\frac{-395}{21}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{-30}{11}-2x\\-x-2y=\frac{34}{33}\end{matrix}\right.\qquad V=\{(\frac{-4}{11},\frac{-1}{3})\}\)
2. \(\left\{\begin{matrix}-5x+2y=\frac{-31}{24}\\-x=-y+\frac{-7}{48}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{3}{16})\}\)
3. \(\left\{\begin{matrix}2x-3y=\frac{607}{152}\\-x=-y+\frac{-487}{304}\end{matrix}\right.\qquad V=\{(\frac{13}{16},\frac{-15}{19})\}\)
4. \(\left\{\begin{matrix}3y=\frac{456}{119}+6x\\x-3y=\frac{-286}{119}\end{matrix}\right.\qquad V=\{(\frac{-2}{7},\frac{12}{17})\}\)
5. \(\left\{\begin{matrix}-3y=\frac{1090}{11}+5x\\-x+5y=\frac{134}{11}\end{matrix}\right.\qquad V=\{(-19,\frac{-15}{11})\}\)
6. \(\left\{\begin{matrix}-6x-2y=\frac{-281}{110}\\x=-6y+\frac{-1493}{220}\end{matrix}\right.\qquad V=\{(\frac{17}{20},\frac{-14}{11})\}\)
7. \(\left\{\begin{matrix}-6y=\frac{-53}{3}-x\\-6x+2y=\frac{818}{9}\end{matrix}\right.\qquad V=\{(-15,\frac{4}{9})\}\)
8. \(\left\{\begin{matrix}6x+4y=\frac{-35}{6}\\-x+3y=\frac{37}{72}\end{matrix}\right.\qquad V=\{(\frac{-8}{9},\frac{-1}{8})\}\)
9. \(\left\{\begin{matrix}3y=\frac{-123}{112}-3x\\-5x-y=\frac{-211}{112}\end{matrix}\right.\qquad V=\{(\frac{9}{16},\frac{-13}{14})\}\)
10. \(\left\{\begin{matrix}4x-y=\frac{-19}{6}\\-3x=2y+\frac{13}{24}\end{matrix}\right.\qquad V=\{(\frac{-5}{8},\frac{2}{3})\}\)
11. \(\left\{\begin{matrix}y=\frac{11}{3}-2x\\2x-5y=\frac{-37}{3}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{8}{3})\}\)
12. \(\left\{\begin{matrix}-x-5y=\frac{293}{21}\\-5x+6y=\frac{-395}{21}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{-20}{7})\}\)