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Substitutie of combinatie

1. \(\left\{\begin{matrix}6y=\frac{-153}{8}+3x\\x-3y=\frac{105}{16}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-3x-5y=\frac{-469}{55}\\x=-3y+\frac{123}{55}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}3y=\frac{-27}{4}+6x\\x-y=\frac{13}{8}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}5x-5y=\frac{95}{78}\\5x+y=\frac{59}{78}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{-497}{80}+4x\\x+y=\frac{143}{80}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-2x-2y=\frac{-18}{5}\\-x=6y+\frac{21}{5}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-6x-4y=\frac{238}{55}\\x-3y=\frac{41}{55}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-4y=\frac{19}{4}-3x\\-x-4y=\frac{3}{4}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}x+6y=\frac{125}{52}\\-3x=3y+\frac{-615}{52}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}3x-6y=\frac{1107}{136}\\2x-y=\frac{309}{68}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3y=\frac{-25}{2}+5x\\-x-3y=\frac{-13}{2}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-3x+4y=\frac{1037}{60}\\x=-y+\frac{-187}{60}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}6y=\frac{-153}{8}+3x\\x-3y=\frac{105}{16}\end{matrix}\right.\qquad V=\{(6,\frac{-3}{16})\}\)
2. \(\left\{\begin{matrix}-3x-5y=\frac{-469}{55}\\x=-3y+\frac{123}{55}\end{matrix}\right.\qquad V=\{(\frac{18}{5},\frac{-5}{11})\}\)
3. \(\left\{\begin{matrix}3y=\frac{-27}{4}+6x\\x-y=\frac{13}{8}\end{matrix}\right.\qquad V=\{(\frac{5}{8},-1)\}\)
4. \(\left\{\begin{matrix}5x-5y=\frac{95}{78}\\5x+y=\frac{59}{78}\end{matrix}\right.\qquad V=\{(\frac{1}{6},\frac{-1}{13})\}\)
5. \(\left\{\begin{matrix}-3y=\frac{-497}{80}+4x\\x+y=\frac{143}{80}\end{matrix}\right.\qquad V=\{(\frac{17}{20},\frac{15}{16})\}\)
6. \(\left\{\begin{matrix}-2x-2y=\frac{-18}{5}\\-x=6y+\frac{21}{5}\end{matrix}\right.\qquad V=\{(3,\frac{-6}{5})\}\)
7. \(\left\{\begin{matrix}-6x-4y=\frac{238}{55}\\x-3y=\frac{41}{55}\end{matrix}\right.\qquad V=\{(\frac{-5}{11},\frac{-2}{5})\}\)
8. \(\left\{\begin{matrix}-4y=\frac{19}{4}-3x\\-x-4y=\frac{3}{4}\end{matrix}\right.\qquad V=\{(1,\frac{-7}{16})\}\)
9. \(\left\{\begin{matrix}x+6y=\frac{125}{52}\\-3x=3y+\frac{-615}{52}\end{matrix}\right.\qquad V=\{(\frac{17}{4},\frac{-4}{13})\}\)
10. \(\left\{\begin{matrix}3x-6y=\frac{1107}{136}\\2x-y=\frac{309}{68}\end{matrix}\right.\qquad V=\{(\frac{17}{8},\frac{-5}{17})\}\)
11. \(\left\{\begin{matrix}-3y=\frac{-25}{2}+5x\\-x-3y=\frac{-13}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{2},\frac{5}{3})\}\)
12. \(\left\{\begin{matrix}-3x+4y=\frac{1037}{60}\\x=-y+\frac{-187}{60}\end{matrix}\right.\qquad V=\{(\frac{-17}{4},\frac{17}{15})\}\)