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Substitutie of combinatie

1. \(\left\{\begin{matrix}4x+5y=\frac{11}{2}\\3x=y+\frac{51}{40}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}3x-3y=\frac{-1512}{323}\\-x+5y=\frac{1568}{323}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-4y=\frac{521}{90}-x\\-3x-5y=\frac{307}{90}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x-5y=\frac{681}{56}\\-4x-2y=\frac{199}{14}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-2y=\frac{96}{7}+4x\\4x-y=\frac{-48}{7}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-5x-2y=\frac{-69}{8}\\-x+6y=\frac{-49}{8}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}y=\frac{73}{15}+3x\\-4x+2y=\frac{106}{15}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}-3y=-11+4x\\-2x-y=\frac{-17}{3}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}-x+6y=\frac{121}{8}\\5x+2y=\frac{35}{8}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-2y=\frac{-235}{56}+2x\\5x+y=\frac{599}{112}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-5x+6y=\frac{-491}{10}\\x=-y+\frac{37}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{-51}{11}+5x\\x-3y=\frac{14}{11}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}4x+5y=\frac{11}{2}\\3x=y+\frac{51}{40}\end{matrix}\right.\qquad V=\{(\frac{5}{8},\frac{3}{5})\}\)
2. \(\left\{\begin{matrix}3x-3y=\frac{-1512}{323}\\-x+5y=\frac{1568}{323}\end{matrix}\right.\qquad V=\{(\frac{-14}{19},\frac{14}{17})\}\)
3. \(\left\{\begin{matrix}-4y=\frac{521}{90}-x\\-3x-5y=\frac{307}{90}\end{matrix}\right.\qquad V=\{(\frac{9}{10},\frac{-11}{9})\}\)
4. \(\left\{\begin{matrix}x-5y=\frac{681}{56}\\-4x-2y=\frac{199}{14}\end{matrix}\right.\qquad V=\{(\frac{-17}{8},\frac{-20}{7})\}\)
5. \(\left\{\begin{matrix}-2y=\frac{96}{7}+4x\\4x-y=\frac{-48}{7}\end{matrix}\right.\qquad V=\{(\frac{-16}{7},\frac{-16}{7})\}\)
6. \(\left\{\begin{matrix}-5x-2y=\frac{-69}{8}\\-x+6y=\frac{-49}{8}\end{matrix}\right.\qquad V=\{(2,\frac{-11}{16})\}\)
7. \(\left\{\begin{matrix}y=\frac{73}{15}+3x\\-4x+2y=\frac{106}{15}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{13}{15})\}\)
8. \(\left\{\begin{matrix}-3y=-11+4x\\-2x-y=\frac{-17}{3}\end{matrix}\right.\qquad V=\{(3,\frac{-1}{3})\}\)
9. \(\left\{\begin{matrix}-x+6y=\frac{121}{8}\\5x+2y=\frac{35}{8}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{5}{2})\}\)
10. \(\left\{\begin{matrix}-2y=\frac{-235}{56}+2x\\5x+y=\frac{599}{112}\end{matrix}\right.\qquad V=\{(\frac{13}{16},\frac{9}{7})\}\)
11. \(\left\{\begin{matrix}-5x+6y=\frac{-491}{10}\\x=-y+\frac{37}{5}\end{matrix}\right.\qquad V=\{(\frac{17}{2},\frac{-11}{10})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{-51}{11}+5x\\x-3y=\frac{14}{11}\end{matrix}\right.\qquad V=\{(1,\frac{-1}{11})\}\)